8372
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 18816
- Proper Divisor Sum (Aliquot Sum)
- 10444
- 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
- 3168
- Möbius Function
- 0
- Radical
- 4186
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 127
- Smith Number
- yes
- 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
- a(n) = (3*n+1)*(3*n+2).at n=30A001504
- a(n) = n*(n + 1)*(n^2 + n + 2)/4.at n=13A001621
- Number of partitions of floor(5n/2) into n nonnegative integers each no more than 5.at n=33A001975
- Hexagonal pyramidal numbers, or greengrocer's numbers.at n=23A002412
- Expansion of 1/((1-x)^4*(1+x)).at n=44A002623
- a(n) = 2*n*(2*n-1).at n=46A002939
- Number of unrooted achiral trees with n nodes.at n=32A003244
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=26A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=26A004967
- Number of n-bead bracelets (turnover necklaces) of two colors with 6 red beads and n-6 black beads.at n=23A005513
- Quadrinomial coefficients.at n=12A005719
- Even hexagonal pyramidal numbers.at n=10A015226
- a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2).at n=44A023855
- Third diagonal of A027446.at n=8A027450
- Number of possible queen moves on an n X n chessboard.at n=13A035005
- Coordination sequence for A_13 lattice.at n=2A035839
- a(n) = (n-3)*A006918(n-2)/2 for n >= 2, with a(0) = a(1) = 0.at n=26A038376
- Numbers n such that 99*2^n-1 is prime.at n=27A050575
- (Terms in A029661)/2.at n=33A051430
- (Terms in A029617)/2.at n=34A051432