Is 3,988,980 a Prime Number?
No, 3,988,980 is not a prime number
Number Properties
- Value:3,988,980
- Number Type:Even, Positive
- Digit Sum:45
- Total Digits:7
- Binary:1111001101110111110100
- Hexadecimal:3CDDF4
Prime Status
3,988,980 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 5 × 83 × 89
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 83, 89, 90, 108, 135, 166, 178, 180, 249, 267, 270, 332, 356, 415, 445, 498, 534, 540, 747, 801, 830, 890, 996, 1068, 1245, 1335, 1494, 1602, 1660, 1780, 2241, 2403, 2490, 2670, 2988, 3204, 3735, 4005, 4482, 4806, 4980, 5340, 7387, 7470, 8010, 8964, 9612, 11205, 12015, 14774, 14940, 16020, 22161, 22410, 24030, 29548, 36935, 44322, 44820, 48060, 66483, 73870, 88644, 110805, 132966, 147740, 199449, 221610, 265932, 332415, 398898, 443220, 664830, 797796, 997245, 1329660, 1994490, 3988980
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.