5496
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13800
- Proper Divisor Sum (Aliquot Sum)
- 8304
- 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
- 1824
- Möbius Function
- 0
- Radical
- 1374
- Omega Function (Ω)
- 5
- 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
- 41
- 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
- Expansion of Product_{m>=1} (1-m*q^m)^-3.at n=8A022727
- Place where n-th 1 occurs in A023125.at n=38A022787
- 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 11.at n=42A031509
- 4-digit terms in the continued fraction for Pi.at n=36A048958
- Sum of a(n) terms of 1/k^(3/4) first exceeds n.at n=31A056179
- Coordination sequence T4 for Zeolite Code MTF.at n=44A057307
- McKay-Thompson series of class 44c for Monster.at n=46A058683
- Maximal number of 132 patterns in a permutation of 1,2,...,n.at n=41A061061
- Multiples of 24 whose digits also sum to 24.at n=12A066270
- Numbers k that divide phi(k)^2 + sigma(k)^2.at n=20A068484
- Coefficient of q^3 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(1,2).at n=10A074354
- Triangle, read by rows, where the g.f. of row n, R_n(x), is a polynomial of degree n that satisfies: [x^k] R_{n+1}(x) = [x^k] (1 + x*R_n(x))^(n+1) for k=0..n+1, with R_0(x) = 1.at n=20A108990
- Main diagonal of triangle A108990, in which the g.f. of row n, R_n(x), satisfies: [x^k] R_{n+1}(x) = [x^k] (1 + x*R_n(x))^(n+1) for k=0..n+1.at n=5A108991
- First differences of A112069.at n=4A112139
- Number of partitions of n which represent first player winning Chomp positions with multiple winning moves.at n=33A112473
- Numbers n such that first occurrence of the 10 digits of the i-th root of n contain all the digits from 0 to 9.at n=7A119521
- Connell (3,2)-sum sequence (partial sums of the (3,2)-Connell sequence).at n=63A122794
- a(n) = p^2 - sum of digits of p^p, where p = prime(n).at n=21A140499
- Number of non-Fibonacci parts in the last section of the set of partitions of n.at n=33A144118
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (1, -1, 0), (1, 0, 1)}.at n=10A148122