8816
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 18600
- Proper Divisor Sum (Aliquot Sum)
- 9784
- 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
- 4032
- Möbius Function
- 0
- Radical
- 1102
- Omega Function (Ω)
- 6
- 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
- 47
- 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 n-node digraphs with same converse as complement.at n=7A003069
- a(n) = n*(21*n-1)/2.at n=29A022278
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 4).at n=46A035540
- Numbers n such that phi(n) = phi(n-1) - phi(n-2).at n=9A066231
- a(n) = sum of modular offsets: mod[n+c,b]-(mod[n,b]+c) for c<=b<=n.at n=42A066809
- Numbers n such that phi(reversal(n)) = reversal(phi(n)). Ignore leading 0's.at n=15A069282
- Numbers k such that sigma(k) is a harmonic number.at n=32A074245
- Multiples of 16 containing a 16 in their decimal representation.at n=37A121036
- a(n) = 5*n^2 + 10*n + 1. Coefficients of the rational part of (1 + sqrt(n))^5.at n=41A134593
- Number of binary strings of length n with no substrings equal to 0010 or 0110.at n=16A164402
- Number of (n+1) X 2 0..3 arrays with equal numbers of 2 X 2 subblocks with sum over 6 and with sum under 6.at n=2A183750
- Number of (n+1) X 4 0..3 arrays with equal numbers of 2 X 2 subblocks with sum over 6 and with sum under 6.at n=0A183752
- T(n,k) = number of (n+1) X (k+1) 0..3 arrays with equal numbers of 2 X 2 subblocks with sum over 6 and with sum under 6.at n=3A183756
- T(n,k) = number of (n+1) X (k+1) 0..3 arrays with equal numbers of 2 X 2 subblocks with sum over 6 and with sum under 6.at n=5A183756
- a(n) = 10*a(n-1) - 4*a(n-2), with a(0)=0, a(1)=1.at n=5A190986
- a(n) = n*(6*n+4).at n=38A202804
- Number of n X 2 0..1 arrays with every one equal to some NW, E or S neighbor.at n=8A202900
- T(n,k) = Number of n X k 0..1 arrays with every one equal to some NW, E or S neighbor.at n=46A202906
- -4-Knödel numbers.at n=50A225508
- Number of partitions of n that sorted in increasing order do not contain a part k in position k.at n=52A238394