9224
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17310
- Proper Divisor Sum (Aliquot Sum)
- 8086
- 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
- 4608
- Möbius Function
- 0
- Radical
- 2306
- Omega Function (Ω)
- 4
- 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
- 153
- 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
- Octahedral numbers: a(n) = n*(2*n^2 + 1)/3.at n=24A005900
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=46A005993
- Coordination sequence for MgNi2, Position Ni1.at n=24A009933
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 24.at n=7A031702
- Offsets for the Atkin Partition Congruence theorem.at n=38A036492
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=24A045303
- Numbers k such that 2^k - 17 is prime.at n=31A059611
- Interprimes which are of the form s*prime, s=8.at n=17A075283
- a(n) = n_{n^2}.at n=47A122625
- a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3, n+4, n+5, n+6 and the operators +, -, *, /, using each number only once.at n=12A143191
- a(n) = 225*n - 1.at n=40A158227
- a(n) = 576*n^2 + 2*n.at n=3A158369
- a(n) = 64*n^2 + 8.at n=11A158488
- Sums of two successive primes s such that s+-3 are primes.at n=17A179485
- Position of the n-th prime in A253279.at n=31A255999
- Nonnegative integers n such that in balanced ternary representation the number of occurrences of each trit doubles when n is squared.at n=26A257867
- Expansion of Product_{k>=1} (1+x^k)^(Fibonacci(k)).at n=16A261050
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 347", based on the 5-celled von Neumann neighborhood.at n=49A271297
- Maximum total number of possible moves that any number of rooks of the same color can make on an n X n chessboard.at n=49A278211
- Smallest number k such that exactly half the numbers in [1..k] are prime(n)-smooth.at n=40A290154