1372
1372 is a even composite number that follows 1371 and precedes 1373. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372. Its prime factorization can be written as 2^2 × 7^3. 1372 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1372 is represented as 10101011100 in binary and 55C in hexadecimal. Historically, it is written as MCCCLXXII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7^3) reveals 5 prime building blocks.
Divisible by 2
1372 ends in 2, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 72 form a multiple of 4.
Divisible by 5
1372 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 13 is not a multiple of 9.
Divisible by 10
1372 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 1372 within several notable number theory sequences:
Timeline
Deep dive
How 1372 breaks down
1372 carries 12 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 1428, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10101011100 supports bitwise reasoning, hexadecimal 55C aligns with computing notation, and the Roman numeral MCCCLXXII keeps the encyclopedic tradition alive. These attributes make 1372 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1372 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1367–1377) to tune search ranges, and educators feature 1372 in worksheets about factor trees. Its binary footprint of length 11 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 1372 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 1372
Is 1372 a prime number?
1372 is composite with 12 total factors and the prime factorization 2^2 × 7^3.
What is the prime factorization of 1372?
It breaks down as 2^2 × 7^3, multiplying the primes 2 × 2 × 7 × 7 × 7.
How is 1372 represented in binary and hexadecimal?
1372 converts to 10101011100 in binary and 55C in hexadecimal, which are helpful for computer science applications.
Is 1372 a perfect square, cube, or triangular number?
1372 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1372?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.