10054
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16488
- Proper Divisor Sum (Aliquot Sum)
- 6434
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4560
- Möbius Function
- -1
- Radical
- 10054
- Omega Function (Ω)
- 3
- 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
- 135
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Coordination sequence for alpha-Mn, Position Mn4.at n=26A009953
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=36A020413
- 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 100.at n=5A031598
- a(n) = 4*a(n-1)+3*a(n-2) for n>1, a(0)=2, a(1)=4.at n=6A080042
- a(n) = A083964(n)/(2n-1).at n=20A083965
- Arises in enumeration of 321-hexagon-avoiding permutations.at n=12A092492
- A card-arranging problem: values of n such that there exists a permutation p_1, ..., p_n of 1, ..., n such that i + p_i is a fifth power for every i.at n=38A096906
- Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the diagonal.at n=38A098499
- Let S(n)=sigma(|n|)-2*n; sequence gives numbers n such that S(S(S(S(n))))=n. May be called {2,1}-Sociable number of orders 1 or 2 or 4.at n=7A113285
- Number of n X n arrays of squares of integers summing to 4 with every element equal to at least one neighbor.at n=7A146089
- 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), (0, 0, 1), (0, 1, 1), (1, 1, -1)}.at n=8A150053
- Numbers k such that the sum of the decimal digits of k is a substring of k, of k^2 and of k^3.at n=35A162017
- a(n) = ceiling(A117791(n)/2).at n=25A173696
- Number of distinct solutions of Sum_{i=1..3}(x(2i-1)*x(2i)) = 0 (mod n), with x() in 0..n-1.at n=12A180795
- Number of nondecreasing strings of numbers x(i=1..n) in -3..3 with sum x(i)^3 equal to 0.at n=34A188271
- Number of ways to place 2 non-attacking ferses on an n X n board.at n=11A201243
- Number of Carlitz compositions of n with exactly four descents.at n=8A241694
- Expansion of Product_{k>=1} (1 + k^2*x^k)/(1 - k^2*x^k).at n=8A265844
- Expansion of Product_{k>=1} (1 - x^k)^sigma(k).at n=32A288385
- Number of matchings in the n-Sierpinski gasket graph.at n=2A292968