5944
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11160
- Proper Divisor Sum (Aliquot Sum)
- 5216
- 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
- 2968
- Möbius Function
- 0
- Radical
- 1486
- Omega Function (Ω)
- 4
- 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
- 98
- 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
- Generalized Stirling numbers, [n+5,5]_4.at n=4A001716
- Tetrahedral numbers written backwards.at n=29A004161
- Number of binary vectors of length n+1 beginning with 0 and containing just 1 singleton.at n=17A006367
- Expansion of e.g.f. exp(sinh(x)*x) (even powers only).at n=4A009233
- Numbers k such that Fib(k) == -21 (mod k).at n=46A023168
- XOR-convolution of squares A000290 with themselves.at n=20A033460
- Number of 2n-step self avoiding closed walks on square grid, restricted to a quadrant and passing through origin.at n=8A034010
- Number of partitions of n into parts not of the form 17k, 17k+4 or 17k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=33A035965
- Number of partitions in parts not of the form 23k, 23k+1 or 23k-1. Also number of partitions with no part of size 1 and differences between parts at distance 10 are greater than 1.at n=39A035989
- Sets of 4 consecutive numbers with equal number of divisors.at n=13A039665
- a(n) = Xpower(n,3).at n=22A048732
- Revert transform of ((x - 1)(x + 1))/(-1 - x + x^3).at n=10A049130
- Generalized Stirling number triangle of first kind.at n=16A049459
- Composite n such that phi(n+4) = phi(n)+4.at n=39A056773
- A triangle of generalized Stirling numbers: sum of consecutive terms in the harmonic sequence multiplied by the product of their denominators.at n=39A067176
- Define an array as follows: b(i,0)=b(0,j)=1, b(i,j) = 2*b(i-1,j-1) + b(i-1,j) + b(i,j-1). Then a(n) = b(n,n).at n=5A069835
- Pascal-(1,2,1) array read by antidiagonals.at n=60A081577
- Second binomial transform of binomial(n+5, 5).at n=5A081901
- Triangle read by rows: for 0 <= k < n, a(n, k) is the sum of the products of all subsets of {n-k, n-k+1, ..., n} with k members.at n=32A093905
- Fundamental discriminants of real quadratic number fields with class number 5.at n=26A094614