8918
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 7882
- 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
- 3528
- Möbius Function
- 0
- Radical
- 182
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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
- a(n) = (9*n+1)*(9*n+8).at n=10A001534
- sec(exp(x)-cos(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+120/5!*x^5...at n=7A013320
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A000201 (lower Wythoff sequence).at n=31A024599
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = A000201 (lower Wythoff sequence).at n=30A025113
- Expansion of 1/((1-5x)(1-6x)(1-8x)(1-11x)).at n=3A028172
- Distinct even elements in 4-Pascal triangle A028275 (by row).at n=39A028282
- Even elements to right of central elements in 4-Pascal triangle A028275.at n=34A028286
- Gaps of 2 in sequence A038593 (lower terms).at n=13A038643
- Gaps of 7 in sequence A038593 (upper terms).at n=25A038654
- Numbers ending with '8' that are the difference of two positive cubes.at n=31A038863
- a(n) = A048141(3*n+1).at n=57A051059
- Numbers n such that n | 10^n + 9^n + 1.at n=27A057295
- If D[n] is divisor-set of n, then in set of 1+D only 2 primes occur:{2,3}; also n is not squarefree.at n=25A072607
- a(n) = (n-1)^3*((n-2)^2 - 2*(n-3)).at n=7A079503
- a(n) = (n+1)(n+2)^3*(n+3)^3*(n+4)(2n+5)/4320.at n=4A107942
- a(n) = (n+1)*(n+2)^3*(n+3)*(2n+3)*(2n+5)/360.at n=5A107970
- Expansion of 1/(1 - x - x^2 + x^4 - x^6).at n=23A117791
- Dimensions of the irreducible representations of the simple Lie algebra of type D4 over the complex numbers, listed in increasing order.at n=38A121739
- Numbers m such that the numerator of the Bernoulli number B(m) is divisible by a cube.at n=30A122270
- Triangle read by rows: CP(n,i) for n>=0 and 3n+1 >= i >= 0, gives the absolute value of the coefficients of the chromatic polynomial of C_3 X P_(n+1) factored in the form x(x-1)^i.at n=45A123531