Is 4,435,480 a Prime Number?
No, 4,435,480 is not a prime number
Number Properties
- Value:4,435,480
- Number Type:Even, Positive
- Digit Sum:28
- Total Digits:7
- Binary:10000111010111000011000
- Hexadecimal:43AE18
Prime Status
4,435,480 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 72 × 31 × 73
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 49, 56, 62, 70, 73, 98, 124, 140, 146, 155, 196, 217, 245, 248, 280, 292, 310, 365, 392, 434, 490, 511, 584, 620, 730, 868, 980, 1022, 1085, 1240, 1460, 1519, 1736, 1960, 2044, 2170, 2263, 2555, 2920, 3038, 3577, 4088, 4340, 4526, 5110, 6076, 7154, 7595, 8680, 9052, 10220, 11315, 12152, 14308, 15190, 15841, 17885, 18104, 20440, 22630, 28616, 30380, 31682, 35770, 45260, 60760, 63364, 71540, 79205, 90520, 110887, 126728, 143080, 158410, 221774, 316820, 443548, 554435, 633640, 887096, 1108870, 2217740, 4435480
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.