12085
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14508
- Proper Divisor Sum (Aliquot Sum)
- 2423
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9664
- Möbius Function
- 1
- Radical
- 12085
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 68
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 53.at n=18A020392
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 17.at n=11A051982
- Partial sums of the squares of the terms of A060999.at n=8A061001
- Interprimes which are of the form s*prime, s=5.at n=27A075280
- a(n+1) = a(n)^2 - (-1)^n * binomial(n+2,2) with a(1) = 1.at n=4A118378
- Poincaré series [or Poincare series] P(C#_{3,2}; x).at n=26A124630
- Row sums of triangle A134146 and partition array A134145 (M3(3)/M3).at n=5A134147
- Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 17.at n=34A146340
- Positive numbers y such that y^2 is of the form x^2+(x+359)^2 with integer x.at n=8A159844
- Sequence by greedy construction satisfying Lucier-Sárközy difference set condition.at n=48A174911
- Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w<R, x>R, y>R, z>R, where R = max{w,x,y,z} - min{w,x,y,z}.at n=10A212754
- Strictly superdiagonal compositions: compositions (p1, p2, p3, ...) of n such that pi > i.at n=37A238874
- Number of (n+2)X(5+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=12A254904
- Centered octahemioctahedral numbers: a(n) = (4*n^3+24*n^2+8*n+3)/3.at n=19A274974
- Number of collections of subsets of {1, 2, ..., n} that are closed under union and intersection.at n=5A306445
- Number of compositions of n with strictly decreasing first quotients.at n=45A342494
- Numbers k such that the least m for which m*k is a ludic number (if such an m exists) sets a new record.at n=11A378051
- Expansion of e.g.f. 1/(1 - 3*x*exp(x))^(1/3).at n=5A380017