10524
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 24584
- Proper Divisor Sum (Aliquot Sum)
- 14060
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3504
- Möbius Function
- 0
- Radical
- 5262
- 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
- 192
- 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) = (d(n)-r(n))/2, where d = A026049 and r is the periodic sequence with fundamental period (1,0,0,1).at n=35A026050
- a(n) = Sum_{0<=j<=i<=n} A027157(i, j).at n=9A027166
- 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 68.at n=29A031566
- Number of unlabeled 3-element intersecting families (with distinct sets) of an n-element set.at n=10A055485
- Numbers which are the sum of their proper divisors containing the digit 5.at n=12A059464
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={1,2}.at n=23A079963
- Structured truncated tetrahedral numbers.at n=17A100156
- Numbers n such that 3*10^n + 2*R_n + 7 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=14A102968
- Numbers n such that 2*prime(n) - prime(n+1) is a square.at n=45A110975
- Partial sums of A002503.at n=42A176358
- Numbers k such that the first 9 digits of the k-th Lucas number are 1-9 pandigital.at n=0A216489
- Numbers n such that in Collatz (3x+1) trajectory of n, the number of terms < n equals number of terms > n.at n=24A217731
- G.f. A(x) satisfies: A(x)^2 = A( x^2/(1-8*x) ), with A(0) = 0.at n=5A264226
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 278", based on the 5-celled von Neumann neighborhood.at n=31A271097
- Number of minimum dominating sets in the n-triangular grid graph.at n=12A297572
- Expansion of Product_{k>=1} 1/(1 - x^k)^Fibonacci(2*k).at n=9A308446
- Expansion of Product_{k>0} 1/(1 - k*(k+1)/2 * x^(k*(k+1)/2)).at n=22A319257
- Number of maximal Golomb rulers of length n.at n=38A325683