Is 1,388,832 a Prime Number?
No, 1,388,832 is not a prime number
Number Properties
- Value:1,388,832
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:101010011000100100000
- Hexadecimal:153120
Prime Status
1,388,832 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 17 × 23 × 37
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 12, 16, 17, 23, 24, 32, 34, 37, 46, 48, 51, 68, 69, 74, 92, 96, 102, 111, 136, 138, 148, 184, 204, 222, 272, 276, 296, 368, 391, 408, 444, 544, 552, 592, 629, 736, 782, 816, 851, 888, 1104, 1173, 1184, 1258, 1564, 1632, 1702, 1776, 1887, 2208, 2346, 2516, 2553, 3128, 3404, 3552, 3774, 4692, 5032, 5106, 6256, 6808, 7548, 9384, 10064, 10212, 12512, 13616, 14467, 15096, 18768, 20128, 20424, 27232, 28934, 30192, 37536, 40848, 43401, 57868, 60384, 81696, 86802, 115736, 173604, 231472, 347208, 462944, 694416, 1388832
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.