13793
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
- 14868
- Proper Divisor Sum (Aliquot Sum)
- 1075
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12720
- Möbius Function
- 1
- Radical
- 13793
- 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
- 151
- 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
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=65A011901
- Numerator of [x^(2n+1)] in the Taylor expansion arcsin(cosec(x) - cosech(x)) = x/3 + x^3/162 + 5*x^5/1134 + 19*x^7/76545 + 13793*x^9/218245104 + ...at n=4A013531
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 15.at n=17A051980
- Diagonal of array A085205.at n=9A085228
- Number of fusenes with 24 hexagons, C_(2h) symmetry and containing 2n carbon atoms.at n=5A123595
- Number of partitions of n with distinct numbers of odd and even parts.at n=35A171967
- Number of partitions of n containing a clique of size 8.at n=42A183565
- The numbers n in s=n^2 + (n+1)^2 that satisfy the requirement for two consecutive squares c,d with c<d with d-c being the sum of two consecutive squares that c<s<d will give s-c and d-s both being squares.at n=18A192743
- A213784/12.at n=23A213789
- Numbers n such that the sum of the prime factors (including repeats) of prime(n)-1 and prime(n+1)-1 are the same.at n=15A259564
- a(n) is the smallest positive integer m such that 2^n appears as the denominator of a convergent to sqrt(m).at n=12A338308
- a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared whose string value contains all the distinct prime factors of a(n-1). Overlapping factor strings is allowed.at n=17A365500