9088
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18360
- Proper Divisor Sum (Aliquot Sum)
- 9272
- 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
- 4480
- Möbius Function
- 0
- Radical
- 142
- 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
- 109
- 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
- Numerators of coefficients of Green function for cubic lattice.at n=4A003301
- E.g.f. is the logarithmic derivative of e.g.f. for Pell numbers [1, 0, 1, 2, 5, ...].at n=8A006673
- arcsin(sinh(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+200/6!*x^6+9088/8!*x^8...at n=3A012535
- sinh(sinh(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+200/6!*x^6+9088/8!*x^8...at n=3A012539
- 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=26A031545
- Composite numbers k, not a power of 2, such that the E(k) == 1 (mod k), where E(k) is the k-th Euler number (A000364).at n=30A035163
- Trajectory of 3 under map n->13n+1 if n odd, n->n/2 if n even.at n=12A037104
- Partial sums of primes congruent to 5 mod 6.at n=43A038361
- Denominators of continued fraction convergents to sqrt(208).at n=9A041387
- Numbers k such that phi(x) = k has exactly 10 solutions.at n=43A060673
- Integers n > 1997 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 1997.at n=17A063055
- Binomial transform of A073145: a(n)=Sum(binomial(n,k)*A073145(k),(k=0,..,n)).at n=21A075115
- Permanent of the n X n matrix whose element (i,j) equals t(|i-j|) where t(n) is the number of divisors of n and t(0) = 0.at n=5A086094
- 8-almost primes p*q*r*s*t*u*v*w relatively prime to p+q+r+s+t+u+v+w.at n=34A110296
- Matrix log of triangle A111835, which shifts columns left and up under matrix 8th power; these terms are the result of multiplying each element in row n and column k by (n-k)!.at n=17A111838
- a(n) = 2^n*tribonacci(n) or (2^n)*A001644(n+1).at n=6A127214
- Numbers m for which Sum_digits(m!) is a multiple of Sum_digits(m!!).at n=46A135206
- Triangle T(n,k) with the real part of [x^k] of the series (1-x)^(n+1)* sum_{j=0..infinity} (2*j+1+i)^n*x^j in row n, column k.at n=25A179068
- Triangle T(n,k) with the real part of [x^k] of the series (1-x)^(n+1)* sum_{j=0..infinity} (2*j+1+i)^n*x^j in row n, column k.at n=23A179068
- Products of the 7th power of a prime and a distinct prime (p^7*q).at n=19A179664