10085
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12108
- Proper Divisor Sum (Aliquot Sum)
- 2023
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8064
- Möbius Function
- 1
- Radical
- 10085
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- Number of partitions of n into relatively prime parts. Also aperiodic partitions.at n=33A000837
- Numbers k such that the continued fraction for sqrt(k) has period 37.at n=24A020376
- a(n) = [ a(n-1)/a(1) + a(n-2)/a(2) + ... + a(1)/a(n-1) ], for n >= 3.at n=17A022857
- [ (4th elementary symmetric function of P(n))/(2nd elementary symmetric function of P(n)) ], where P(n) = {1, p(1), p(2), ..., p(n-1)}, where p(0) = 1.at n=14A024535
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 13.at n=21A051978
- Interprimes which are of the form s*prime, s=5.at n=23A075280
- Number of prime powers p^k (k != 1) <= 10^n.at n=10A076048
- Duplicate of A076048.at n=10A077270
- Conjectured numbers n such that the trajectory of n as defined in A003508 is unique.at n=38A105233
- a(n) = 6*n^2 - 1.at n=41A140811
- 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, 0, 1), (1, -1, 1), (1, 0, 0), (1, 1, -1), (1, 1, 0)}.at n=7A150587
- Numerators of row sums of the triangle (lower triangular matrix) log(F) with F:=A037027 (Fibonacci convolution matrix).at n=13A181349
- Principal diagonal of the convolution array A213582.at n=8A213583
- Govindarajan's triangle F arising in enumeration of multi-dimensional partitions, read by rows.at n=67A216802
- Number of nX3 arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without consecutive moves in the same direction.at n=2A221850
- T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without consecutive moves in the same direction.at n=12A221852
- Number of 3Xn arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without consecutive moves in the same direction.at n=2A221854
- Number of tilings of a 6 X n rectangle using integer-sided square tiles of area > 1.at n=22A226370
- Partitions with parts repeated at most twice and repetition only allowed if first part has an even index (first index = 1).at n=51A227135
- Numerator of Sum_{i=1..n} n^i/i.at n=4A237872