8177
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
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 1399
- 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
- 6912
- Möbius Function
- -1
- Radical
- 8177
- Omega Function (Ω)
- 3
- 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
- yes
- 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
- 52
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = 2^n - n - 2.at n=11A000247
- a(n) = n*(5*n^2 - 2)/3.at n=17A004466
- Triangle T(n,k) of associated Stirling numbers of second kind, n >= 2, 1 <= k <= floor(n/2).at n=43A008299
- Odd pentagonal numbers.at n=37A014632
- n is equal to the number of 1's in all numbers <= n written in base 8.at n=1A014885
- Numbers k such that sigma(k) = sigma(k+6).at n=25A015866
- Pseudoprimes to base 31.at n=32A020159
- Pseudoprimes to base 38.at n=43A020166
- a(n) = least m such that if r and s in {1/1, 1/4, 1/7, ..., 1/(3n-2)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=40A024836
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=39A024841
- a(n) = Sum_{k=1..n} k*[ (n/k)*[ n/k ] ].at n=45A024932
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(1,5) < cn(3,5) = cn(4,5).at n=71A036851
- Pentagonal numbers with even index.at n=37A049452
- Local ranks of terms of A057122.at n=42A057124
- Number of 2 X 2 singular integer matrices with elements from {0,...,n}.at n=32A059306
- Numbers k such that k and its reversal are both multiples of 17.at n=29A062906
- Non-palindromic number and its reversal are both multiples of 17.at n=20A062915
- a(n) = a(n-1)+ceiling(a(n-2)/2) with a(0)=0, a(1)=1.at n=29A064323
- a(1)=1, then "jump over next cube": a(n) = 2*(a(n-1)+1)^3-a(n-1).at n=2A074488
- 4th binomial transform of (1,0,1,0,1,...), A059841.at n=6A081186