5736
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 8664
- 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
- 1904
- Möbius Function
- 0
- Radical
- 1434
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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
- Sum of gcd(x, y) for 1 <= x, y <= n.at n=46A018806
- Fibonacci sequence beginning 1, 24.at n=13A022394
- Expansion of Product_{m>=1} (1-m*q^m)^-4.at n=7A022728
- Even numbers k such that in k^2 the parity of digits alternates.at n=45A030157
- Base 5 digital convolution sequence.at n=12A033642
- Decimal part of cube root of n starts with 9: first term of runs.at n=16A034135
- Number of partitions satisfying (cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5) and cn(4,5) <= cn(2,5) and cn(4,5) <= cn(3,5)).at n=40A036803
- Numbers having three 7's in base 9.at n=24A043483
- Triangular array T: put T(n,0)=n+1 for all n >= 0 and all other T(n,k)=0; then put T(n,k)=Sum{T(i,j): 0<=j<=i-n+k, n-k<=i<=n}.at n=42A053199
- Triangular array T: put T(n,0)=n for all n >= 0 and all other T(n,k)=0; then put T(n,k)=Sum{T(i,j): 0<=j<=i-n+k, n-k<=i<=n}.at n=51A054144
- Coefficients of replicable function number 12c.at n=23A058491
- McKay-Thompson series of class 24A for Monster.at n=23A058571
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).at n=26A063346
- Square array read by antidiagonals: T(n,k)=T(n,k-1)*n^2/(n-1)-Catalan(k-1) with a(n,1)=n-1 and a(1,k)=0 where Catalan(k)=C(2k,k)/(k+1)=A000108(k).at n=40A067346
- Numbers n such that n and 2^n end with the same three digits.at n=5A067866
- Rounded volume of a regular octahedron with edge length n.at n=23A071400
- a(n) = number of consistent orderings of 1..n based only on factorization.at n=13A094206
- Numbers n such that n^2+n+41 (Euler's "prime generating polynomial") is not squarefree.at n=33A097823
- Expansion of x/(sqrt(1-4*x^2) + x - 1).at n=10A100087
- Expansion of (1+sqrt(1-4*x))/(5*sqrt(1-4*x)-3).at n=5A104531