9665
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11604
- Proper Divisor Sum (Aliquot Sum)
- 1939
- 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
- 7728
- Möbius Function
- 1
- Radical
- 9665
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- 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 23.at n=39A020362
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,2,1.at n=5A037766
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 17.at n=9A051982
- Number of inequivalent ternary linear codes of length n. Also the number of nonisomorphic ternary matroids on an n-set.at n=9A076892
- "The partial sums of the positions where T occurs in this sentence are one, eight, twentyfive, fortynine, eightythree, onehundredtwentysix, ..." (Variation of Aronson's sequence).at n=43A089613
- Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 17.at n=27A146340
- Numbers m such that (6*m)^5 is a sum of a twin prime pair.at n=40A173560
- Number of 0..n arrays x(0..7) of 8 elements with zero 4th differences.at n=35A200331
- Number of 0..6 arrays of length n with each element differing from at least one neighbor by something other than 1, starting with 0.at n=5A221540
- T(n,k) = Number of 0..k arrays of length n with each element differing from at least one neighbor by something other than 1, starting with 0.at n=60A221542
- Number of 0..n arrays of length 6 with each element differing from at least one neighbor by something other than 1, starting with 0.at n=5A221544
- Sum of all the smaller parts raised to their corresponding larger parts of the partitions of n into exactly two parts.at n=9A226065
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 603", based on the 5-celled von Neumann neighborhood.at n=20A273173
- Number of 2 X 2 matrices with all elements in {-n,..,0,..,n} with permanent = determinant * n.at n=24A280407
- a(n) = 3*n^2 + 38*n - 76 (n>=2).at n=49A304833
- Sum of sums of omegas of the parts over all strict integer partitions of n.at n=41A325515
- Number of Ulam numbers u (A002858) between powers of 2, 2^n < u <= 2^(n+1).at n=17A331729
- Number of integers in base n having exactly three distinct digits such that the number formed by the consecutive subsequence of the initial j digits is divisible by j for all j in {1,2,3}.at n=40A333405
- Expansion of Sum_{k>=0} (k * x)^k/(1 - k^2 * x).at n=5A349836
- Number of integer partitions of n with more adjacent equal parts than distinct parts.at n=36A360254