Is 3,474,380 a Prime Number?
No, 3,474,380 is not a prime number
Number Properties
- Value:3,474,380
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:7
- Binary:1101010000001111001100
- Hexadecimal:3503CC
Prime Status
3,474,380 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 7 × 13 × 23 × 83
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 10, 13, 14, 20, 23, 26, 28, 35, 46, 52, 65, 70, 83, 91, 92, 115, 130, 140, 161, 166, 182, 230, 260, 299, 322, 332, 364, 415, 455, 460, 581, 598, 644, 805, 830, 910, 1079, 1162, 1196, 1495, 1610, 1660, 1820, 1909, 2093, 2158, 2324, 2905, 2990, 3220, 3818, 4186, 4316, 5395, 5810, 5980, 7553, 7636, 8372, 9545, 10465, 10790, 11620, 13363, 15106, 19090, 20930, 21580, 24817, 26726, 30212, 37765, 38180, 41860, 49634, 53452, 66815, 75530, 99268, 124085, 133630, 151060, 173719, 248170, 267260, 347438, 496340, 694876, 868595, 1737190, 3474380
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.