5332
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9856
- Proper Divisor Sum (Aliquot Sum)
- 4524
- 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
- 2520
- Möbius Function
- 0
- Radical
- 2666
- Omega Function (Ω)
- 4
- 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
- no
- 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
- Numbers k such that Fib(k) == -21 (mod k).at n=43A023168
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=40A026042
- Numbers k such that if d,e are consecutive digits of k in base 6, then |d-e| >= 4.at n=32A032988
- Expansion of sum ( q^n / product( 1-q^k, k=1..4*n), n=0..inf ).at n=25A035296
- Numerators of continued fraction convergents to sqrt(466).at n=7A041888
- Base-6 palindromes that start with 4.at n=18A043013
- a(n) = T(n,n-4), array T as in A055807.at n=27A055809
- Numbers n such that 5*10^n-1 is prime.at n=12A056712
- McKay-Thompson series of class 34a for the Monster group.at n=34A058639
- a(n) is the number of distinct (modulo geometric D3-operations) nonsymmetric (no reflective nor rotational symmetry) patterns which can be formed by an equilateral triangular arrangement of closely packed black and white cells satisfying the local matching rule of Pascal's triangle modulo 2, where n is the number of cells in each edge of the arrangement. The matching rule is such that any elementary top-down triangle of three neighboring cells in the arrangement contains either one or three white cells.at n=14A060552
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 59 ).at n=37A063332
- Numbers with no zeros in their cubes such that the products of the digits of their cubes are also cubes.at n=37A067071
- Number of functions f:{0,1,2,...,n} -> {0,1,2,...,n} that satisfy f(0)=0 and f(n)=0, with f nowhere concave upward.at n=11A068602
- Multiples of 4 using only prime digits (2, 3, 5 and 7).at n=42A077534
- a(n) = 4*(n^2 - n + 1).at n=36A112087
- Start with 1 and repeatedly reverse the digits and add 60 to get the next term.at n=35A118162
- Records in A118514.at n=13A118515
- Start with 1 and repeatedly reverse the digits and add 30 to get the next term.at n=40A118637
- List of fixed points of the base-3 Kaprekar map A164993.at n=3A164997
- Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives numbers belonging to cycles, including fixed points.at n=10A164998