9617
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9840
- Proper Divisor Sum (Aliquot Sum)
- 223
- 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
- 9396
- Möbius Function
- 1
- Radical
- 9617
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of 4's in all partitions of n.at n=33A024788
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 3 (mod 5).at n=44A035564
- Numbers n such that n | Sigma_8(n) + Phi(n)^8.at n=5A055702
- a(n) = 10*n^2 + 7.at n=31A061722
- Numbers n such that sigma(n) - phi(n) is a repdigit greater than 2.at n=35A116020
- Partial sums of A151782.at n=26A151793
- Number of nondecreasing arrangements of n+2 numbers in 0..3 with each number being the sum mod 4 of two others.at n=34A183906
- Number of partitions of n into lower Wythoff numbers (A000201).at n=50A192184
- Number of partitions of n such that either both floor(n/2) and ceiling(n/2) are parts or else neither is a part.at n=32A238624
- Number of unlabeled rooted trees with n nodes and maximal outdegree (branching factor) 5.at n=9A244401
- Egyptian fraction representation of sqrt(20) (A010476) using a greedy function.at n=4A248248
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 49", based on the 5-celled von Neumann neighborhood.at n=24A270016
- Partial sums of A303981.at n=45A304033
- Number of totally aperiodic integer partitions of n.at n=32A319811
- Row sums of the triangle A322071.at n=17A322072
- Number of separable partitions of n that consist of an odd number of parts.at n=37A325724
- (A331763(n) - A331755(n+1))/2.at n=23A335687