13667
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13920
- Proper Divisor Sum (Aliquot Sum)
- 253
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13416
- Möbius Function
- 1
- Radical
- 13667
- 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
- 58
- 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 period of the continued fraction for sqrt(k) contains exactly 17 ones.at n=15A031785
- Results from a change in the rules leading to sequence A097357.at n=13A110565
- Beastly fax numbers: numbers containing the fax number of the Beast (667, one more than its regular number) in their decimal expansion.at n=23A138563
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1000-1000-1000-1111 pattern in any orientation.at n=16A147097
- Number of binary strings of length n with no substrings equal to 0000 0111 or 1001.at n=16A164442
- Numbers k such that 3^k + k^3 - 1 is prime.at n=12A215440
- Number of n-step self-avoiding walks on the half-Manhattan lattice with no non-contiguous adjacencies.at n=14A336726
- Discriminants of imaginary quadratic fields with class number 38 (negated).at n=38A351676
- a(n) is the smallest number k such that A362881(k) = n.at n=15A362909
- Number of not necessarily connected simple bridgeless graphs on n labeled nodes.at n=6A389387
- G.f. A(x) satisfies A(x) = 1 / ((1 - x) * (1 - 2 * x * A(x^2))).at n=9A390659