10168
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
- 16
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 9992
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 0
- Radical
- 2542
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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
- Number of regular semigroups of order n, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).at n=6A001427
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=66A011909
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=41A033580
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=10A045247
- a(n) = period of terms in quasi-periodic continued fraction expansion of 2^n*tanh(1).at n=10A094234
- One third of the sum of the first n primes, when an integer.at n=34A112270
- Numbers such that sigma(n)^2 is divisible by UnitarySigma(n)*UnitaryPhi(n).at n=34A121556
- Total number of distinct solutions (modulo lcm(1,2,...,n)) of the system of congruences x == i (mod p(i)), i=1,2,...,n, where p is a permutation of order n.at n=16A140275
- Number of permutations p on the set [n] with the properties that abs(p(i)-i) <= 3 for all i, p(1) <= 2, and p(4) >= 2.at n=10A188495
- Number of parts that are visible in one of the three views of the section model of partitions version "tree" with n sections.at n=30A194805
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 5.at n=29A209990
- Number of conjugacy classes of the symmetric group S_n when conjugating only by even permutations.at n=32A242101
- Numbers that are the largest value in the Collatz (3x+1) trajectories of exactly six initial values.at n=39A274467
- Number of unlabeled, unrooted distance-hereditary graphs on n vertices.at n=8A280766
- Number of chiral pairs of color patterns (set partitions) for a row of length n using 6 or fewer colors (subsets).at n=8A320936
- Least number k such that the determinant of the circulant matrix formed by its decimal digits is equal to n*k.at n=1A323486
- Number of 2-skinny Baxter slicings of size n.at n=8A342292
- Number of 4-regular multigraphs on n unlabeled nodes with 4 external legs, loops allowed.at n=6A361454