13167
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 24960
- Proper Divisor Sum (Aliquot Sum)
- 11793
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- 0
- Radical
- 4389
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 169
- 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
- no
- Odd
- yes
Appears in sequences
- Alkane (or paraffin) numbers l(8,n).at n=17A005995
- Chvatal conjecture for radius of graph of maximal intersecting sets.at n=15A007008
- a(n) = floor(n*(n+2)*(2*n-1)/8).at n=36A007518
- Number of reversible strings with n-1 beads of 2 colors. 5 beads are black. String is not palindromic.at n=16A032092
- Numerators of continued fraction convergents to sqrt(275).at n=8A041516
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= (n-3)/3.at n=25A048029
- One half of binomial coefficients C(2*n-4,5).at n=8A053132
- (1/18)*Difference between concatenation of n and n^2 and concatenation of n^2 and n.at n=37A055435
- Positive numbers whose product of digits is 7 times their sum.at n=36A062384
- Write 1, 2, 3, 4, ... counterclockwise in a hexagonal spiral around 0 starting left down, then a(n) is the sequence found by reading from 0 in the vertical upward direction.at n=33A063436
- a(n)=A074639(A074647(n)).at n=39A074648
- Normalized triangle of odd numbered entries of even numbered rows of Pascal's triangle A007318.at n=57A091043
- The O(1) loop model on the square lattice is defined as follows: At every vertex the loop turns to the left or to the right with equal probability, unless the vertex has been visited before, in which case the loop leaves the vertex via the unused edge. Every vertex is visited twice. The probability that a face of the lattice on an n X infinity cylinder is surrounded by zero loops is conjectured to be given by a(n)/A_{HT}(n)^2, where A_{HT}(n) is the number of n X n half turn symmetric alternating sign matrices.at n=5A092372
- Numbers which are the sum of two positive cubes and divisible by 11.at n=22A101852
- Numbers which are the sum of two positive cubes and divisible by 19.at n=29A102619
- The sum of a triangular array made from a negative 6 fold permutation product with shifts up and down of {2,6}.at n=39A105162
- Triangle read by rows: T(k,s) = binomial(k+s,2s+1)*(2k-1)*(2k+1)/(2s+3), k >= 1, 0 <= s <= k-1.at n=46A111126
- Least multiple of 2n-1 ending in prime(n), 0 if no such number exists.at n=38A114780
- Numbers k such that sigma(k) plus the k-th prime is a triangular number.at n=34A115907
- Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005.at n=31A125017