5651
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5652
- 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
- 5650
- Möbius Function
- -1
- Radical
- 5651
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 85
- 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
- 743
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Prime quadruples: numbers k such that k, k+2, k+6, k+8 are all prime.at n=10A007530
- Coordination sequence T4 for Zeolite Code MTT.at n=46A008192
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=21A020405
- Numbers that are the sum of 4 distinct positive cubes in exactly 3 ways.at n=30A025410
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=34A025413
- Primes that are palindromic in base 7.at n=20A029975
- 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 75.at n=4A031573
- Initial terms of '4-block' primes as described in A032591.at n=14A032592
- Numbers whose set of base-7 digits is {2,3}.at n=34A032807
- Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 3).at n=41A035535
- Number of partitions of n with equal nonzero number of parts congruent to each of 2, 3 and 4 (mod 5).at n=51A035591
- Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes.at n=15A035790
- Denominators of continued fraction convergents to sqrt(995).at n=7A042927
- Base-7 palindromes that start with 2.at n=33A043016
- Numbers whose base-7 representation contains exactly four 2's.at n=18A043404
- p, p+2 and p+8 are primes.at n=43A046134
- Primes p such that p+6 and p+8 are also primes.at n=40A046138
- Primes such that the sum of the factorials of the digits is a perfect square.at n=18A052279
- First of four consecutive primes that comprise two sets of twin primes.at n=25A053778
- Prime number spiral (clockwise, North spoke).at n=14A054551