9644
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
- 6
- Divisor Sum
- 16884
- Proper Divisor Sum (Aliquot Sum)
- 7240
- 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
- 4820
- Möbius Function
- 0
- Radical
- 4822
- Omega Function (Ω)
- 3
- 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
- 166
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q.at n=43A007332
- a(n) = A048141(3*n+2).at n=51A051060
- Numbers k such that the product of the first k composite numbers minus 1 is a prime.at n=23A057017
- Records in A086183.at n=12A086186
- 3-almost primes with semiprime digits (digits 4, 6, 9 only).at n=24A111494
- Eigenvector of the triangle of distinct partitions (A008289), so that: a(n) = Sum_{k=1..tri(n)} A008289(n,k)*a(k) for n>=1 with a(1)=1, where tri(n) = floor((sqrt(8*n+1)-1)/2).at n=46A118399
- Number of 3-dimensional partitions of n up to conjugacy.at n=16A119266
- Expansion of ((b(q)*c(q))^3 - 8*(b(q^2)*c(q^2))^3) / 27 in powers of q where b(), c() are cubic AGM theta functions.at n=42A128486
- Number of binary strings of length n with no substrings equal to 0010 or 1100.at n=16A164405
- Expansion of (chi(-x) / chi^3(-x^3))^2 in powers of x where chi() is a Ramanujan theta function.at n=41A216046
- a(n) = n for n = 1, 2, 3; for n > 3: a(n) = number of partitions of n into preceding terms.at n=48A229362
- Number of trees on n vertices with an odd number of leaves.at n=16A262431
- Indices where records occur in A265432.at n=45A272675
- Irregular triangle read by rows: T(n,k) is the number of simple connected graphs on n unlabeled nodes with domination number k, n >= 1, 1 <= k <= A065033(n+1).at n=24A332401
- Maximum coefficient of (1 - x) * (1 - x^3) * (1 - x^6) * ... * (1 - x^(n*(n+1)/2)).at n=51A369984
- Maximum of the absolute value of the coefficients of (1 - x) * (1 - x^3) * (1 - x^6) * ... * (1 - x^(n*(n+1)/2)).at n=51A369985
- Number of combinatorially distinct (n-1)-dimensional links in all edgewise triangulations of a simplex.at n=12A391051