10016
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19782
- Proper Divisor Sum (Aliquot Sum)
- 9766
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4992
- Möbius Function
- 0
- Radical
- 626
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 135
- 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
- Numbers that are the sum of 2 positive 4th powers.at n=44A003336
- Positive numbers k such that k and 6*k are anagrams in base 9 (written in base 9).at n=1A023083
- Theta series of odd 8-dimensional 5-modular lattice O(5).at n=24A029719
- 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 49.at n=32A031547
- a(n) = Sum_{d|n, n/d=1 mod 4} d^4.at n=9A050463
- a(n) = Sum_{d|n, n/d=3 mod 4} d^4.at n=29A050467
- a(n) = Sum_{d|n, n/d=1 mod 4} d^4 - Sum_{d|n, n/d=3 mod 4} d^4.at n=9A050468
- Smallest n-digit number divisible by 2^n.at n=4A050621
- Multiples of 8 with digit sum 8.at n=25A069543
- Numbers that can be represented as j^4 + k^4, with 0 < j < k, in exactly one way.at n=36A088687
- Numbers n which when converted to base 5, reversed and converted back to base 10 yield a number m such that n mod m = 0. Cases which are trivial or result in digit loss are excluded.at n=8A091079
- a(1)= 10000, a(2)= 10000; for n>2, a(n)= ( a(n-2) + a(n-1) ) (mod 20000).at n=7A096973
- Triangle T, read by rows, equal to the matrix square of triangle A113106, which satisfies the recurrence: A113106(n,k) = [A113106^5](n-1,k-1) + [A113106^5](n-1,k).at n=12A113108
- Row sums of correlation triangle for (1+x)^3/(1-x).at n=26A115293
- Numbers k such that Fibonacci(prime(k)) is prime.at n=32A119984
- Multiples of 16 containing a 16 in their decimal representation.at n=41A121036
- Number of n X n arrays of squares of integers summing to 17 with every element equal to at least one neighbor.at n=2A146505
- An INVERT sequence for A010054.at n=17A181649
- Total number of n-digit numbers requiring 2 positive biquadrates in their representation as sum of biquadrates.at n=8A186650
- Dispersion of A047216, (numbers >1 and congruent to 1 or 2 mod 5), by antidiagonals.at n=55A191726