13484
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 23604
- Proper Divisor Sum (Aliquot Sum)
- 10120
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6740
- Möbius Function
- 0
- Radical
- 6742
- Omega Function (Ω)
- 3
- 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
- 76
- 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
- Expansion of e.g.f. sin(log(1 + tanh(x))).at n=10A009453
- Numbers k such that 55*2^k+1 is prime.at n=17A032377
- a(n) = floor(47*(n-3/2)^(3/2)).at n=43A050256
- Numbers k such that numerator(Bernoulli(2*k)/(2*k)) is different from numerator(Bernoulli(2*k)/(2*k*(2*k-1))).at n=53A090495
- a(1)=1. a(n) = a(n-1) + sum of the triangular numbers which are among the first (n-1) terms of the sequence.at n=29A100963
- Number of (1,1)-steps on the lines y=x, y=x+1 and y=x-1 in all Delannoy paths of length n.at n=6A110184
- a(n) = n*(n^2 - 1)/2 - 1.at n=28A117560
- Numbers k such that tau(k) = tau(k+1) mod 691, where tau is Ramanujan's tau function A000594.at n=20A121733
- Expansion of psi(x^6) / psi(-x) in powers of x where psi() is a Ramanujan theta function.at n=44A132217
- a(n) = ((7 + sqrt(3))^n - (7 - sqrt(3))^n)/(2*sqrt(3)).at n=4A153598
- First differences of A160379.at n=21A163989
- Number of binary strings of length n with no substrings equal to 0000 0010 or 1001.at n=13A164421
- Number of length n+3 0..1 arrays with at most one downstep in every n consecutive neighbor pairs.at n=39A255994
- Expansion of psi(x^3)^3 * psi(x^2) / psi(x)^4 in powers of x where psi() is a Ramanujan theta function.at n=14A262158
- Expansion of psi(x^6) / psi(x) in powers of x where psi() is a Ramanujan theta function.at n=44A262160
- Expansion of f(-x, -x^5) * f(x^3, x^5) / f(-x, -x^2)^2 in powers of x where f(, ) is Ramanujan's general theta function.at n=22A262987
- Numbers k such that 3*10^k + 17 is prime.at n=21A283684
- Numbers k such that (59*10^k - 77)/9 is prime.at n=15A294631
- Indices where the cumulative sum of sin(2k+1)^(2k+1) reaches a record high value.at n=30A387706