Is 1,475,040 a Prime Number?
No, 1,475,040 is not a prime number
Number Properties
- Value:1,475,040
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:101101000000111100000
- Hexadecimal:1681E0
Prime Status
1,475,040 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 5 × 7 × 439
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 439, 480, 560, 672, 840, 878, 1120, 1317, 1680, 1756, 2195, 2634, 3073, 3360, 3512, 4390, 5268, 6146, 6585, 7024, 8780, 9219, 10536, 12292, 13170, 14048, 15365, 17560, 18438, 21072, 24584, 26340, 30730, 35120, 36876, 42144, 46095, 49168, 52680, 61460, 70240, 73752, 92190, 98336, 105360, 122920, 147504, 184380, 210720, 245840, 295008, 368760, 491680, 737520, 1475040
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.