9164
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 7636
- 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
- 4368
- Möbius Function
- 0
- Radical
- 4582
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 153
- 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
- Poincaré series [or Poincare series] of Lie algebra associated with a certain braid group.at n=14A007991
- Multiplicity of highest weight (or singular) vectors associated with character chi_158 of Monster module.at n=38A034546
- Denominators of continued fraction convergents to sqrt(23).at n=10A041037
- a(n) = (2*n - 1)*(3*n^2 - 3*n + 2)/2.at n=14A063491
- Partial sums of A001159: Sum_{j=1..n} sigma_4(j).at n=7A064604
- Expansion of (1 + x)*(1 - x + x^2)/((1 - x)^4*(1 + x + x^2)).at n=42A070333
- Number of positive numbers m such that A073642(m) = n.at n=52A087135
- Positive integers n such that n^14 + 1 is semiprime (A001358).at n=37A104335
- n^2 + {1,3,7} are primes.at n=26A182238
- Numbers n such that n+(n+1), n^2+(n+1)^2, n+(n+1)^2, n^2+(n+1) are all prime.at n=18A216270
- Number of (n+5)X9 0..1 matrices with each 6X6 subblock idempotent.at n=6A224573
- Number of (n+5)X12 0..1 matrices with each 6X6 subblock idempotent.at n=3A224576
- Number of n X 2 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.at n=20A239844
- Expansion of phi(-q^6) / phi(-q) in powers of q where phi() is a Ramanujan theta function.at n=22A262968
- Let s(n,j) be Sum_{i=1..j} (prime(primepi(n) + i) mod n). Numbers n such that there exists j with s(n,j) = n.at n=30A274423
- Numbers n that have an equal number of even and odd values of A001221(k) for 1 <= k <= n.at n=43A275547
- Ulam numbers n such that 3*n is also an Ulam number.at n=40A285885
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + 2n, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4.at n=14A294366
- Numbers k, the smallest of at least 4 consecutive numbers x, for which phi(x) <= phi(x+1).at n=30A295865
- Number of partitions of n with six parts in which no part occurs more than twice.at n=46A320594