8924
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16464
- Proper Divisor Sum (Aliquot Sum)
- 7540
- 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
- 4224
- Möbius Function
- 0
- Radical
- 4462
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 96
- 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
- a(n) = (7*n+1)*(7*n+6).at n=13A001526
- Expansion of 1/((1-x)^4*(1+x)).at n=45A002623
- Number of tree-rooted toroidal maps with 2 faces and n vertices and without isthmuses.at n=3A006436
- a(n) = n*(n+1)*(4*n+5)/6.at n=23A016061
- a(n) = 1*(n+1-1) + 2*(n+1-2) + ... + k*(n+1-k), where k = floor((n+1)/2).at n=45A023856
- a(n) = 1*(n+3-1) + 2*(n+3-2) + .... + k*(n+3-k), where k=floor((n+1)/2).at n=44A023857
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (natural numbers >= 2).at n=44A024853
- [ exp(4/7)*n! ].at n=6A030964
- Numbers n such that phi(2n+1) = sigma(n).at n=32A067229
- Concatenation of n-th prime and n in decimal notation.at n=23A075110
- a(n) = (5*n+2)*(5*n+7).at n=18A085036
- Even elements of A085493.at n=19A106431
- Inverse Moebius transform of the shifted tetrahedral numbers.at n=33A116963
- Least k such that the difference between consecutive 3-almost primes A014612(k) equals n, or 0 if no such k exists.at n=22A131939
- Expansion of 1/(1 - x^3 - x^4 - x^5 + x^8)^2.at n=32A147851
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 1, 0), (1, 0, -1), (1, 0, 0)}.at n=8A149938
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, 0, 1), (0, 1, 0), (1, 0, 0)}.at n=7A151047
- Partial sums of A002620.at n=47A173196
- a(n) = (9*n+2)*(9*n+7).at n=10A177072
- Number of n-bead necklaces labeled with numbers -5..5 not allowing reversal, with sum zero and three times sum of squares <= n*(5)*(5+1).at n=5A208811