Is 1,307,040 a Prime Number?
No, 1,307,040 is not a prime number
Number Properties
- Value:1,307,040
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:100111111000110100000
- Hexadecimal:13F1A0
Prime Status
1,307,040 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 5 × 7 × 389
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, 389, 420, 480, 560, 672, 778, 840, 1120, 1167, 1556, 1680, 1945, 2334, 2723, 3112, 3360, 3890, 4668, 5446, 5835, 6224, 7780, 8169, 9336, 10892, 11670, 12448, 13615, 15560, 16338, 18672, 21784, 23340, 27230, 31120, 32676, 37344, 40845, 43568, 46680, 54460, 62240, 65352, 81690, 87136, 93360, 108920, 130704, 163380, 186720, 217840, 261408, 326760, 435680, 653520, 1307040
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.