9655
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11592
- Proper Divisor Sum (Aliquot Sum)
- 1937
- 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
- 7720
- Möbius Function
- 1
- Radical
- 9655
- 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
- 104
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 72.at n=40A020411
- Denominators of continued fraction convergents to sqrt(267).at n=7A041501
- Number of nonnegative integer 7 X 7 matrices with sum of elements equal to n, under row and column permutations.at n=9A052373
- Interprimes which are of the form s*prime, s=5.at n=21A075280
- a(n) is the least k such that (10^k)*Mersenne-prime(n) + 1 is prime.at n=22A102629
- Numbers n such that p(3n) is prime, where p(n) is the number of partitions of n.at n=42A111389
- Integers of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) obtains value zero exactly 3 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol.at n=34A166053
- Triangle read by rows: T(n,k) (n>=1, 1 <= k <= n) = number of n-element unlabeled rigid interval posets of height k.at n=68A193357
- Numbers that occur only once in A155043; positions of zeros in A262505, ones in A262507.at n=29A262508
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 605", based on the 5-celled von Neumann neighborhood.at n=20A273177
- Partial sums of A286271.at n=20A286272
- Partial sums of A304076.at n=42A304078
- Number of integer partitions of n whose parts plus 1 are relatively prime.at n=32A318980
- Number of integer partitions of n of whose permutations do not all have distinct runs.at n=33A351203
- E.g.f. satisfies A(x) = 1/(1 - x)^(exp(x) * A(x)).at n=5A356925