9626
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14442
- Proper Divisor Sum (Aliquot Sum)
- 4816
- 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
- 4812
- Möbius Function
- 1
- Radical
- 9626
- 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
- 60
- 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
- yes
- Odd
- no
Appears in sequences
- 4-dimensional centered tetrahedral numbers.at n=14A008498
- First n elements of Thue-Morse sequence A010059 read as a binary number.at n=13A019299
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=24A020382
- Numerators of continued fraction convergents to sqrt(666).at n=6A042280
- Numbers whose base-4 representation contains exactly three 1's and four 2's.at n=16A045104
- Irregular triangle read by rows: T(n,k) = number of directed graphs-with-loops with n nodes and k arcs (n >= 0, 0 <= k <= n^2).at n=43A046858
- Irregular triangle read by rows: T(n,k) = number of directed graphs-with-loops with n nodes and k arcs (n >= 0, 0 <= k <= n^2).at n=52A046858
- Number of 3 X 3 stochastic matrices under row and column permutations.at n=39A052282
- Numbers k such that 9^k + 8^(k-1) is prime.at n=9A093795
- a(0) = 1. a(n+1) = sum{k=0 to n} a(n-k)*a(ceiling(k/2)).at n=13A127681
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (-1, 1, 0), (0, 0, 1), (1, 0, -1)}.at n=10A148285
- Number of binary strings of length n with equal numbers of 00001 and 00110 substrings.at n=14A164196
- Number of partitions of n with distinct occurrences of parts.at n=47A166239
- Numbers that occur only once in A155043; positions of zeros in A262505, ones in A262507.at n=26A262508
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 371", based on the 5-celled von Neumann neighborhood.at n=23A271456
- Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = determinant.at n=48A280588
- Positive integers that have exactly eight representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes.at n=30A317398
- Number of integer partitions of n such that, for all parts x of multiplicity 1, either x - 1 or x + 1 is also a part.at n=41A355393
- a(n) = Sum_{j=0..n, j even} binomial(n, j) * oddfactorial(j/2) * n^j, where oddfactorial(n) = (2*n)! / (2^n*n!).at n=5A359739
- a(n) = 8*n^2 - 5*n + 1.at n=35A383464