8965
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11808
- Proper Divisor Sum (Aliquot Sum)
- 2843
- 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
- 6480
- Möbius Function
- -1
- Radical
- 8965
- Omega Function (Ω)
- 3
- 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
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Expansion of (1-x^5) / (1-x)^5.at n=22A008487
- Odd octagonal numbers: (2n+1)*(6n+1).at n=27A014641
- Pseudoprimes to base 21.at n=22A020149
- Pseudoprimes to base 78.at n=29A020206
- Pseudoprimes to base 98.at n=45A020226
- Numbers k such that k^2 and k^3 have the same set of digits.at n=11A029797
- Product of n-th prime number and n-th composite number.at n=37A067563
- Triangle read by rows: T(n,k) is the number of permutations of [n] with exactly k increasing runs of even length.at n=23A097592
- 3-almost prime octagonal numbers.at n=12A129927
- Numbers such that all subsets of {a(1)^2,...,a(n)^2} have a different sum.at n=25A138857
- Total number of all repeated partitions of the n-set {1,2,3,...,n}.at n=6A143140
- a(n) = 10*a(n-1) - 23*a(n-2) for n > 1; a(0) = 5, a(1) = 33.at n=4A164538
- p*(p+2)/3 where p and p+4 are primes.at n=12A181093
- Magnetic Tower of Hanoi, total number of moves, optimally solving the [RED ; BLUE ; NEUTRAL] or [NEUTRAL ; RED ; BLUE] pre-colored puzzle.at n=9A183112
- Composite numbers coprime to 6 such that A179382(n) = A000265(n-1), the odd part of n-1.at n=17A225913
- a(n) = Sum_{i=0..n} digsum_6(i)^3, where digsum_6(i) = A053827(i).at n=49A231674
- Numbers k whose decimal expansion can be split into at least two parts whose binary equivalents can be concatenated (in the same order) to form the binary expansion of the original number k.at n=9A237041
- Irregular triangle read by rows: T(n,k) = number of signed unichromosonal genomes with n genes at 4-break distance k from a fixed genome, 0 <= k <= floor((n+1)/3).at n=29A264617
- Molien series for invariants of finite Coxeter group A_9.at n=52A266778
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 41", based on the 5-celled von Neumann neighborhood.at n=24A269874