10086
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 20676
- Proper Divisor Sum (Aliquot Sum)
- 10590
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3280
- Möbius Function
- 0
- Radical
- 246
- Omega Function (Ω)
- 4
- 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
- 42
- Smith Number
- yes
- 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
- Number of maximal antichains in rooted plane trees on n nodes.at n=8A007853
- 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=8A031598
- a(n) = 6*n^2.at n=41A033581
- Composite numbers k such that sigma(k) / d(k) is prime.at n=16A048969
- Numbers k such that phi(k) = phi(k - phi(k)).at n=39A051487
- Numbers k such that k^512 + 1 is prime.at n=29A057465
- usigma(n) = 2n + d(n), where d(n) is the number of divisors of n.at n=11A063829
- Number of partitions of n into >= 2 parts and with minimum part >= 2.at n=42A083751
- Number of partitions of n into aliquant parts (i.e., parts that do not divide n).at n=43A098743
- Square array T(M,N) read by antidiagonals: number of dimer tilings of a 2M x 2N Klein bottle.at n=37A103999
- Positive integers n such that n^14 + 1 is semiprime (A001358).at n=41A104335
- Smallest area of any triangle with integer sides a <= b <= c and inradius n.at n=40A120572
- Row sums of triangle A131245.at n=12A131246
- Sequence obtained from Fibonacci numbers by taking the factorials of each digit and summing.at n=14A164955
- Number of partitions of n that do not contain 1 as a part and whose parts are not the same divisor of n.at n=43A167928
- G.f. (x^10 +x^9 +x^8 +.... +x+1) / (x^10 +x^9 -x^7 -x^6 -x^5 -x^4 -x^3 +x +1).at n=57A173244
- Least m>0 such that prime(n) divides S(m)=A007908(m)=123...m and all numbers obtained by cyclic permutations of its digits; 0 if no such m exists.at n=16A181373
- Number of n X 2 binary arrays with an element zero only if there are an even number of ones to its left and an even number of ones above it.at n=11A183314
- Number of perfect matchings in the twisted graph (C_4 X C_n)_{(13)(24)}.at n=6A220868
- Number of (n+5)X(n+5) 0..1 matrices with each 6X6 subblock idempotent.at n=5A224569