37401
37401 is a odd composite number that follows 37400 and precedes 37402. It is composed of 16 distinct factors: 1, 3, 7, 13, 21, 39, 91, 137, 273, 411, 959, 1781, 2877, 5343, 12467, 37401. Its prime factorization can be written as 3 × 7 × 13 × 137. 37401 is classified as a deficient number based on the sum of its proper divisors. In computer science, 37401 is represented as 1001001000011001 in binary and 9219 in hexadecimal. It also belongs to the triangular number sequence.
Factor Analysis
16 FactorsProperties
The prime factorization (3 × 7 × 13 × 137) reveals 4 prime building blocks.
Divisible by 2
37401 ends in 1, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
37401 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
37401 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 37401 within several notable number theory sequences:
Timeline
Deep dive
How 37401 breaks down
37401 carries 16 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 24423, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001001000011001 supports bitwise reasoning, hexadecimal 9219 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 37401 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 37401 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (37396–37406) to tune search ranges, and educators feature 37401 in worksheets about factor trees. Its binary footprint of length 16 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 37401 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 37401
Is 37401 a prime number?
37401 is composite with 16 total factors and the prime factorization 3 × 7 × 13 × 137.
What is the prime factorization of 37401?
It breaks down as 3 × 7 × 13 × 137, multiplying the primes 3 × 7 × 13 × 137.
How is 37401 represented in binary and hexadecimal?
37401 converts to 1001001000011001 in binary and 9219 in hexadecimal, which are helpful for computer science applications.
Is 37401 a perfect square, cube, or triangular number?
37401 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 37401?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.