7331
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7332
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7330
- Möbius Function
- -1
- Radical
- 7331
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 44
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 934
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 11 positive 7th powers.at n=39A003378
- Numbers that are the sum of 6 nonzero 8th powers.at n=10A003384
- Numbers such that every prefix and suffix is 1 or a prime.at n=28A012884
- Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=20A023297
- Right-truncatable primes: every prefix is prime.at n=40A024770
- Primes that are palindromic in base 6.at n=27A029974
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 85.at n=9A031583
- Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes.at n=19A035790
- Base-6 palindromes that start with 5.at n=37A043014
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=24A050666
- First of four consecutive primes that comprise two sets of twin primes.at n=31A053778
- Primes q of the form q = 10p + 1, where p is also prime.at n=30A055781
- Primes p whose period of reciprocal equals (p-1)/5.at n=17A056210
- Primes p with the following property: let d_1, d_2, ... be the distinct digits occurring in the decimal expansion of p. Then for each d_i, dropping all the digits d_i from p produces a prime number. Leading 0's are not allowed.at n=35A057876
- Primes with 3 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of any one of its distinct digits.at n=25A057879
- Prime numbers with odd digits in descending order.at n=23A061245
- Numbers k such that 20^k - 19^k is prime.at n=5A062586
- Lowest primes in twin packs.at n=25A069457
- Primes with either no internal digits or all internal digits are 3.at n=47A069678
- Take A000040, omit commas: 23571113171923..., select 4-digit primes seen when scanning from left.at n=32A073037