5328
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 15314
- Proper Divisor Sum (Aliquot Sum)
- 9986
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1728
- Möbius Function
- 0
- Radical
- 222
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 116
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of positive integers <= 2^n of form x^2 + 10 y^2.at n=15A000024
- Number of one-sided n-celled polyknights.at n=5A030445
- 8 times triangular numbers: a(n) = 4*n*(n+1).at n=36A033996
- Expansion of ( Sum_{k>=0} k*q^(k^2) )^4.at n=66A037216
- Positive numbers having the same set of digits in base 5 and base 8.at n=41A037431
- Bilateral directed animals in first and 8th octants.at n=9A038151
- Values of n^2 - 1 resulting from A050795.at n=7A050799
- Number of conjugacy classes in the group GL_2(K) when K is a finite field with q = p^m for a prime p and m >= 1.at n=29A060615
- Numbers k such that sigma(x) = k has exactly 8 solutions.at n=17A060664
- a(n) = prime(n) + n^3 + n^2 + 4n - 1.at n=16A060822
- Number of tic-tac-toe games won after n plays.at n=5A061221
- Let f(h) = A141900(h) = 2^h * 3^i * 5^j * ... be the smallest term in A141586 that is divisible by 2^h but not by 2^(h+1). Sequence gives values of h where i increases.at n=27A062247
- Numbers k such that cototient(k) is a square and sets a new record for squares.at n=19A063753
- Number of partitions of n with nonnegative crank.at n=33A064428
- a(n) = prime(n) * Fibonacci(n).at n=11A064497
- Smallest member of triple of consecutive numbers each of which is the sum of two different nonzero squares.at n=27A064715
- Smallest member of three consecutive numbers each of which is the sum of two nonzero squares (not necessarily different).at n=32A064716
- Engel expansion of sinh(1/2).at n=18A068379
- Reverse of largest prime factor of n = smallest prime factor of n+1; a(1)=1.at n=6A071393
- Numbers k such that reverse(gpf(k)) = gpf(k+1), where gpf(n) = A006530(n); a(1)=1.at n=15A071844