8031
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10712
- Proper Divisor Sum (Aliquot Sum)
- 2681
- 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
- 5352
- Möbius Function
- 1
- Radical
- 8031
- Omega Function (Ω)
- 2
- 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
- 44
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=102A008302
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=118A008302
- 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 58.at n=41A031556
- (s(n)+2)/10, where s(n)=n-th base 10 palindrome that starts with 8.at n=25A043087
- Numbers whose base-4 representation contains exactly three 1's and four 3's.at n=9A045128
- Indices of primes in sequence defined by A(0) = 17, A(n) = 10*A(n-1) - 23 for n > 0.at n=21A102016
- Number of rationals in [0, 1) consisting just of repeating bits of period at most n.at n=11A119917
- Numerators of partial sums of a series for 6*(5 - 4*Zeta(3)).at n=4A130557
- Numbers of the form 110 + p^2. (where p is a prime).at n=23A138693
- Numbers k such that k^81*(k^81+1)+1 is prime.at n=36A153442
- Number of reduced words of length n in the Weyl group A_8.at n=10A161456
- Number of reduced words of length n in the Weyl group A_8.at n=26A161456
- a(n) = 2^(2*n+1) - 5*2^(n-1) - 1.at n=5A188530
- G.f.: q-cosh(x) evaluated at q=-x.at n=37A198201
- Conjectured number of digits in highest power of n with no four consecutive identical digits.at n=6A216142
- Number of superdiagonal bargraphs with area n.at n=30A219282
- Matrix inverse of the triangle of Eulerian numbers T(n,k), 0<=k<=n, read by rows.at n=25A224228
- Number of 3-element subsets of {1,...,n} whose sum has more than 3 divisors.at n=40A241564
- Decimal representation of the n-th iteration of the "Rule 201" elementary cellular automaton starting with a single ON (black) cell.at n=6A267681
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 350", based on the 5-celled von Neumann neighborhood.at n=27A271303