10092
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 24388
- Proper Divisor Sum (Aliquot Sum)
- 14296
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3248
- Möbius Function
- 0
- Radical
- 174
- 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
- yes
- 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
- Coordination sequence for hexagonal close-packing.at n=31A007899
- Coordination sequence for 6-dimensional lonsdaleite.at n=8A008526
- Coordination sequence for alpha-Nd, Position Nd1.at n=31A009948
- Number of n-dimensional unimodular lattices without roots.at n=29A018843
- Numbers k such that phi(k) = phi(k - phi(k)).at n=40A051487
- Numbers k such that sopf(k) = d(k) where d(k) = A001223(k) and sopf(k) = A008472(k).at n=25A064010
- At these values of k the first, 2nd and 3rd cyclotomic polynomials all give prime numbers.at n=38A070020
- Representative lunar primes.at n=40A088574
- a(0)=1, a(1)=2, a(2)=6, a(3)=18; for n >= 4, a(n) = 6*a(n-1) - 11*a(n-2) + 6*a(n-3) - a(n-4).at n=9A094864
- Least number that requires exactly n iterations of f(x) = reverse(x) - maxdigit(x) to reach zero.at n=24A097156
- Numbers that set a new record for the number of iterations needed to reach 0 under f(x) = reverse(x) - maxdigit(x).at n=20A097158
- Number of distinct partitions of triangular numbers n*(n+1)/2 into 3 parts for n>=1.at n=25A104385
- Number of points in the standard root system version of the D_3 (or f.c.c.) lattice having L_infinity norm n.at n=29A110907
- Least multiple of n in which the n-th digit from left is 9.at n=3A113564
- Numbers k such that k + prime(k) gives a triangular number.at n=37A115882
- The third self-composition of A120010; g.f.: A(x) = G(G(G(x))), where G(x) = g.f. of A120010.at n=7A120018
- Square table, read by antidiagonals, of self-compositions of A120010.at n=52A120019
- Triangle read by rows: T(n,k) is the number of k-cell columns in all directed column-convex polyominoes of area n (1<=k<=n).at n=45A121468
- a(n) = 12*n^2.at n=29A135453
- Averages of twin prime pairs k such that k*3 and k/3 are squares.at n=8A154671