8576
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
- 16
- Divisor Sum
- 17340
- Proper Divisor Sum (Aliquot Sum)
- 8764
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4224
- Möbius Function
- 0
- Radical
- 134
- Omega Function (Ω)
- 8
- 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
- 34
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite FER = Ferrierite Na2Mg2[Al6Si30O72].18H2O starting with a T3 atom.at n=12A019131
- Molien series for complete weight enumerator of self-dual code over GF(5).at n=34A028344
- 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 45.at n=33A031543
- Denominators of continued fraction convergents to sqrt(433).at n=9A041825
- Numbers k such that phi(x) = k has exactly 10 solutions.at n=42A060673
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=22A063370
- a(n) = 4^n mod n^4.at n=9A066608
- Frobenius number of the numerical semigroup generated by three consecutive pyramidal numbers.at n=6A069762
- Expansion of (1-x)/(1-2*x+2*x^2+2*x^3).at n=15A078005
- Numbers which are sums of two and also sums of three positive cubes.at n=15A085336
- Numbers which are sums of two, three and four cubes.at n=6A085337
- Numbers which are sums of two, three, four and also sums of five cubes.at n=5A085338
- n^10 mod 10^n.at n=3A087355
- Triangle, read by rows, such that the convolution of each row with {1,2} produces a triangle which, when flattened, equals this flattened form of the original triangle.at n=47A092686
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 67, the third irregular prime.at n=8A093059
- Indices of the start of a string of 24 consecutive squares whose sum is a square.at n=17A094196
- Indices of primes in sequence defined by A(0) = 27, A(n) = 10*A(n-1) - 23 for n > 0.at n=10A101959
- 8-almost primes p*q*r*s*t*u*v*w relatively prime to p+q+r+s+t+u+v+w.at n=31A110296
- 1/16 the number of permutations of 0..n having exactly 4 maxima.at n=8A130660
- Number of cribbage hands with score n.at n=15A143133