9675
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 17732
- Proper Divisor Sum (Aliquot Sum)
- 8057
- 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
- 5040
- Möbius Function
- 0
- Radical
- 645
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(31*n-1)/2.at n=25A022288
- a(n) = floor(exp(15/23) * n!).at n=6A030814
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 2 (mod 5).at n=45A035563
- a(n) = 5*n^2 + 10*n.at n=42A067724
- Numbers n such that sum of primes dividing n (with repetition) is equal to the largest prime factor of n+1.at n=16A071863
- Sum of the prime factors of k equals half the sum of the prime factors of k + 1.at n=9A074213
- Maximal values in A038598.at n=47A093330
- Structured octagonal prism numbers.at n=14A100176
- a(n) = 729*n - 531.at n=13A156771
- Union of A071863 and A071861.at n=35A193458
- Number of partitions of n into proper divisors of n, cf. A027751.at n=48A210442
- Number of (w,x,y,z) with all terms in {1,...,n} and w+x=3y+3z.at n=45A212566
- The number of integer partitions P of n such that either the length k of P is not a part or P has at least one part equal to 1 (or both).at n=33A229863
- G.f.: Sum_{n>=0} (1 + x^n)^n * x^n / (1-x)^(n+1).at n=13A243988
- One half of numbers representable in at least two different ways as sums of four nonvanishing cubes. See A259060 for these numbers and their representations.at n=6A261241
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 670", based on the 5-celled von Neumann neighborhood.at n=26A289360
- Index of record values of A339082.at n=24A339173
- Numbers that are the sum of five third powers in exactly nine ways.at n=39A345186