Is 3,429,972 a Prime Number?
No, 3,429,972 is not a prime number
Number Properties
- Value:3,429,972
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101000101011001010100
- Hexadecimal:345654
Prime Status
3,429,972 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 7 × 13 × 349
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 349, 351, 364, 378, 468, 546, 698, 702, 756, 819, 1047, 1092, 1396, 1404, 1638, 2094, 2443, 2457, 3141, 3276, 4188, 4537, 4886, 4914, 6282, 7329, 9074, 9423, 9772, 9828, 12564, 13611, 14658, 18148, 18846, 21987, 27222, 29316, 31759, 37692, 40833, 43974, 54444, 63518, 65961, 81666, 87948, 95277, 122499, 127036, 131922, 163332, 190554, 244998, 263844, 285831, 381108, 489996, 571662, 857493, 1143324, 1714986, 3429972
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.