8288
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
- 24
- Divisor Sum
- 19152
- Proper Divisor Sum (Aliquot Sum)
- 10864
- 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
- 3456
- Möbius Function
- 0
- Radical
- 518
- Omega Function (Ω)
- 7
- 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
- 127
- 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
- Fourth-field derivative of Ising model free energy for 4-d cubic lattice.at n=3A010557
- sech(cos(x)-cosh(x)) = 1-12/4!*x^4+8288/8!*x^8-39475392/12!*x^12...at n=2A013481
- Number of 8's in all partitions of n.at n=38A024792
- Expansion of 1/((1-2x)(1-4x)(1-10x)(1-12x)).at n=3A025984
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 26.at n=6A031704
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=37A033580
- Number of 4-ary rooted trees with n nodes and height exactly 9.at n=15A036633
- Number of partitions of 5n such that cn(0,5) = cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5).at n=12A036886
- Numbers having three 8's in base 10.at n=10A043523
- Numbers whose base-4 representation contains exactly four 0's and two 2's.at n=34A045059
- Generalized Pellian with second term equal to 8.at n=9A048695
- Fixed points for A065652, a permutation of the natural numbers.at n=8A065654
- Juggling states associated with the juggling sequence A084458.at n=49A084457
- Numbers which are the sum of two positive cubes and divisible by 37.at n=9A102618
- An Euler triangle.at n=42A117414
- Numbers n such that every digit occurs at least once in n^3.at n=30A119735
- a(n) = n*(8*n+3).at n=32A139276
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, 1), (1, 0, -1), (1, 1, -1)}.at n=8A149013
- a(n) = n^3 + (n+2)^3.at n=15A153976
- a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=2,a(2)=9.at n=34A154495