9056
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17892
- Proper Divisor Sum (Aliquot Sum)
- 8836
- 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
- 4512
- Möbius Function
- 0
- Radical
- 566
- Omega Function (Ω)
- 6
- 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
- 65
- 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 q^(-1/4) * (eta(q^4) / eta(q))^2 in powers of q.at n=19A001936
- Expansion of (theta_3 / theta_4)^3.at n=6A014970
- a(1) = 3; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=33A025004
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 47.at n=25A031545
- Number of partitions of n into parts not of the form 21k, 21k+2 or 21k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 9 are greater than 1.at n=38A035980
- Cubic star numbers: a(n) = n^3 + 4*Sum_{i=0..n-1} i^2.at n=16A051673
- a(n) = Sum_{k=0,n-1} 5^k*B(k)*binomial(n,k) where B(k) is the k-th Bernoulli number.at n=8A083009
- Numbers of the form p^3 + q^3, p, q primes.at n=32A086119
- G.f. = theta_4(0,x^4)/theta_4(0,x).at n=24A103258
- Sums of two distinct prime cubes.at n=26A120398
- Generator for the finite sequence A053016.at n=31A136254
- Sums of 2 cubes of distinct odd primes.at n=19A137632
- Numbers k such that 2^k + 25 is prime.at n=26A157006
- Number of binary strings of length n with equal numbers of 00001 and 10100 substrings.at n=14A164206
- a(n) = 4^n * Sum_{k=0..n} binomial(2*k,k)^3 / 4^k.at n=3A167869
- Number of distinct solutions of sum{i=1..2}(x(2i-1)*x(2i)) = 1 (mod n), with x() in 0..n-1.at n=40A180804
- Number of partitions of n such that the number of parts and the greatest part are coprime.at n=34A200750
- Principal diagonal of the convolution array A213847.at n=11A213848
- 6^n mod 10000.at n=35A216128
- Numbers n such that n^2 + 1 and (n+1)^2 + 1 are divisible by a square.at n=41A217798