Is 4,009,980 a Prime Number?
No, 4,009,980 is not a prime number
Number Properties
- Value:4,009,980
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1111010010111111111100
- Hexadecimal:3D2FFC
Prime Status
4,009,980 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 13 × 53 × 97
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 53, 60, 65, 78, 97, 106, 130, 156, 159, 194, 195, 212, 260, 265, 291, 318, 388, 390, 485, 530, 582, 636, 689, 780, 795, 970, 1060, 1164, 1261, 1378, 1455, 1590, 1940, 2067, 2522, 2756, 2910, 3180, 3445, 3783, 4134, 5044, 5141, 5820, 6305, 6890, 7566, 8268, 10282, 10335, 12610, 13780, 15132, 15423, 18915, 20564, 20670, 25220, 25705, 30846, 37830, 41340, 51410, 61692, 66833, 75660, 77115, 102820, 133666, 154230, 200499, 267332, 308460, 334165, 400998, 668330, 801996, 1002495, 1336660, 2004990, 4009980
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.