8032
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15876
- Proper Divisor Sum (Aliquot Sum)
- 7844
- 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
- 4000
- Möbius Function
- 0
- Radical
- 502
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- 70
- 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)^-16.at n=6A022708
- Number of partitions of n into 7 unordered relatively prime parts.at n=42A023027
- Congruence classes of triangles which can be drawn using lattice points in n X n grid as vertices.at n=14A028419
- 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 43.at n=35A031541
- Column 1 of triangle A052308.at n=16A052309
- Numbers k such that 10^k + 4*R_k + 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=21A102934
- Number of ways to seat n people around a circular table such that person i is next to person i-1 or i+1 or both.at n=10A120766
- a(n) = n*(8*n-5).at n=32A139272
- Number of lines through at least 2 points of a 7 X n grid of points.at n=27A160847
- T(n, k) = k^n*U(n, (1/k + k)/2) + (n + 1)^(k - 1)*U(k - 1, (1/(n + 1) + n + 1)/2), where U(n,x) is the n-th Chebyshev polynomial of the second kind, square array read by antidiagonals (n >= 0, k >= 1).at n=23A173590
- T(n, k) = k^n*U(n, (1/k + k)/2) + (n + 1)^(k - 1)*U(k - 1, (1/(n + 1) + n + 1)/2), where U(n,x) is the n-th Chebyshev polynomial of the second kind, square array read by antidiagonals (n >= 0, k >= 1).at n=25A173590
- G.f.: exp( Sum_{n>=1} x^n/n * exp( Sum_{k>=1} sigma(n*k) * x^(n*k)/k ) ).at n=15A203320
- Number of partitions of n containing at least one part m-4 if m is the largest part.at n=34A212544
- Numbers of the form 4^j + 6^k, for j and k >= 0.at n=39A226813
- Number of partitions of n having population standard deviation >= 1.at n=31A238620
- 9-step Fibonacci sequence starting with 0,0,0,0,0,1,0,0,0.at n=22A251748
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 374", based on the 5-celled von Neumann neighborhood.at n=26A271459
- Magic sums of 4 X 4 magic squares composed of triangular numbers.at n=40A271579
- First differences of 1/p(n), reciprocal of the number p(n) of unrestricted partitions of n (negated numerator).at n=53A272339
- a(n) = Sum_{k=1..n} k^2*(floor(n/k) - 1).at n=48A279847