8800
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 23436
- Proper Divisor Sum (Aliquot Sum)
- 14636
- 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
- 3200
- Möbius Function
- 0
- Radical
- 110
- Omega Function (Ω)
- 8
- 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
- 96
- 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
- Tenth column of quintinomial coefficients.at n=5A000575
- Numbers that are the sum of 2 positive 5th powers.at n=18A003347
- Numbers that are the sum of at most 2 positive 5th powers.at n=25A004842
- Number of restricted 3 X 3 matrices with row and column sums n.at n=43A005045
- Positive numbers k such that k = x^5 + y^5 has a solution in nonzero integers x, y.at n=33A020896
- Sorted k-factorial numbers (numbers of form k-1 excluded).at n=24A028687
- Sorted factorial and k-factorial numbers (numbers of form k-1 excluded).at n=30A028688
- Numbers k such that k^2 has digits in nonincreasing order.at n=33A028821
- 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=39A031543
- Number of partitions of n with equal nonzero number of parts congruent to each of 2 and 3 (mod 5).at n=44A035569
- Numbers k such that k! - (k-1)! - 1 is prime.at n=22A049433
- Number of irreducible polynomials over F_2 of degree at most n.at n=15A062692
- Numbers k such that k*rev(k) is a square different from k^2, where rev=A004086, decimal reversal.at n=31A070760
- Numbers n whose sum of divisors and number of divisors are both triangular numbers.at n=29A070996
- a(n) = 4^n + 6^n.at n=5A074612
- Operation count to create all permutations of n distinct elements using the "streamlined" version of Algorithm L (lexicographic permutation generation) from Knuth's The Art of Computer Programming, Vol. 4, chapter 7.2.1.2. Sequence gives number of comparisons required to find j in step L2.2'.at n=5A079750
- 4th binomial transform of (0,1,0,2,0,4,0,8,0,16,...).at n=6A081180
- Numbers of form x^5 + y^5, x,y > 0 and x <> y.at n=13A088703
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 37, the first irregular prime.at n=32A092230
- Third binomial transform of Fibonacci(3n).at n=5A093130