10167
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
- 4
- Divisor Sum
- 13560
- Proper Divisor Sum (Aliquot Sum)
- 3393
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6776
- Möbius Function
- 1
- Radical
- 10167
- 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
- 86
- 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 even period and if the last term of the periodic part is deleted the central term is 33.at n=34A031531
- Molien series for group G_{1,3} of order 2304.at n=14A051461
- Molien series for group G_{1,3}^{8} of order 4608.at n=7A051463
- Starting numbers for which the RATS sequence has eventual period 14.at n=36A114615
- Expansion of g.f.: 1/((1 - x - x^2 + x^6 - x^8)*(1 - x^2 + x^6 + x^7 - x^8)).at n=20A147620
- Number of lines through at least 2 points of a 6 X n grid of points.at n=35A160846
- Number of 8-element subsets of {1, 2, ..., n} having pairwise coprime elements.at n=14A186984
- Number of 10-element subsets of {1, 2, ..., n} having pairwise coprime elements.at n=16A186986
- Numbers k such that tau(k-1) = (tau(k))^2 = tau(k+1), where tau(k) = A000005(k) (number of divisors of k).at n=35A190266
- Numbers with exactly 11 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=15A213318
- The number of sum decomposable permutations which avoid the patterns 3124 and 4312.at n=8A226434
- Numbers whose binary representation traces a non-selfcrossing circuit in the honeycomb lattice when each one of its bits, from the most significant to the least significant, is interpreted as a direction to proceed at each vertex.at n=34A255561
- a(n) is the least number of sides of a regular circumscribed k-gon whose perimeter yields Pi to within 1/10^n.at n=7A259442
- Number of n X 3 binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once.at n=5A269070
- T(n,k)=Number of nXk binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once.at n=33A269075
- Number of 6Xn binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once.at n=2A269080
- Number of partitions of n with eight parts in which no part occurs more than twice.at n=35A320596
- Total number of parts coprime to n in the partitions of n into 8 parts.at n=34A363326