5317
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5740
- Proper Divisor Sum (Aliquot Sum)
- 423
- 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
- 4896
- Möbius Function
- 1
- Radical
- 5317
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 54
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of graphical basis partitions of 2n.at n=25A001130
- Numbers k such that 39*2^k + 1 is prime.at n=32A002269
- Number of protruded partitions of n with largest part at most 5.at n=13A005406
- Coordination sequence T1 for Zeolite Code DOH.at n=45A008078
- Coordination sequence for tridymite, lonsdaleite, and wurtzite.at n=45A008264
- Pseudoprimes to base 53.at n=42A020181
- Pseudoprimes to base 54.at n=23A020182
- Strong pseudoprimes to base 53.at n=10A020279
- Numbers k such that the continued fraction for sqrt(k) has period 55.at n=2A020394
- a(n) = sum of the numbers between the two n's in A026366.at n=37A026369
- Number of partitions of n with equal number of parts congruent to each of 1, 2 and 4 (mod 5).at n=56A035579
- Schoenheim bound L_1(n,4,3).at n=47A036831
- Denominators of continued fraction convergents to sqrt(517).at n=9A041989
- Numbers whose base-5 representation contains exactly three 2's and two 3's.at n=17A045276
- Palindromes in factorial base.at n=44A046807
- Becomes prime or 4 after exactly 8 iterations of f(x) = sum of prime factors of x.at n=13A048130
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 15.at n=9A051980
- Zero, together with positive numbers k such that prime(k) - k is a square.at n=28A064370
- Numbers k such that k^5 + 6^k is prime.at n=5A075985
- Numbers k whose digits are all contained, in any order, within the digits of prime(k).at n=46A080794