Is 3,467,472 a Prime Number?
No, 3,467,472 is not a prime number
Number Properties
- Value:3,467,472
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1101001110100011010000
- Hexadecimal:34E8D0
Prime Status
3,467,472 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 29 × 47 × 53
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 47, 48, 53, 58, 87, 94, 106, 116, 141, 159, 174, 188, 212, 232, 282, 318, 348, 376, 424, 464, 564, 636, 696, 752, 848, 1128, 1272, 1363, 1392, 1537, 2256, 2491, 2544, 2726, 3074, 4089, 4611, 4982, 5452, 6148, 7473, 8178, 9222, 9964, 10904, 12296, 14946, 16356, 18444, 19928, 21808, 24592, 29892, 32712, 36888, 39856, 59784, 65424, 72239, 73776, 119568, 144478, 216717, 288956, 433434, 577912, 866868, 1155824, 1733736, 3467472
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.