10024
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21600
- Proper Divisor Sum (Aliquot Sum)
- 11576
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4272
- Möbius Function
- 0
- Radical
- 2506
- Omega Function (Ω)
- 5
- 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
- 135
- 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
- Positive numbers k such that k and 4*k are anagrams in base 8 (written in base 8).at n=3A023075
- Expansion of (1+2*x+3*x^2)/((1-x)^3*(1-x^2)).at n=26A055232
- Number of paths of length n+2 originating at an interior vertex of 4 X 4 Boggle board.at n=6A063002
- Multiples of 7 whose sum of digits is equal to 7.at n=18A063416
- Triangle read by rows: T(n,k) gives the number of set partitions of {1,...,n} with maximum block length k.at n=38A080510
- Numbers k such that 11*10^k - 1 is prime.at n=15A111391
- Row sums of triangle A118032, where the matrix square of A118032 forms a diagonal bisection of A118032.at n=13A118036
- Number of meaningful differential operations of the k-th order on the space R^12.at n=11A129639
- First differences of A145646.at n=4A145647
- a(n) = ((4+sqrt(2))*(3+sqrt(2))^n + (4-sqrt(2))*(3-sqrt(2))^n)/4.at n=6A161944
- Row sums of A163357 and A163359.at n=22A163365
- A triangular sequence based on the first level sum of polynomial coefficients: p(x,n,m)=(1 - x)^(n + m + 1)*Sum[k^(n - 1)*(1 - k)^(m - 1)*x^k, {k, 0, Infinity}]/4.at n=18A168217
- Position of 5^n in A051037 (5-smooth numbers).at n=25A188427
- Number of rhombuses on a (n+1)X9 grid.at n=30A190097
- a(n) is the smallest number k such that d(1)*1! + d(2)*2! + ... + d(p)*p! = n^2, where d(i) are the decimal digits of k.at n=22A198095
- G.f. satisfies: A(x) = Sum_{n>=0} x^n * Sum_{k=0..n} x^k * {[x^k] A(x)^n}.at n=13A222658
- Number of set partitions of {1,...,n} with largest set of size 3.at n=6A229245
- Numbers k such that k!3 + 3^4 is prime.at n=25A247866
- Number of partitions of n into two sorts of parts having exactly 6 parts of the second sort.at n=8A258476
- Relative of Hofstadter Q-sequence: a(n) = max(0, n+10000) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0.at n=29A283889