13947
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18600
- Proper Divisor Sum (Aliquot Sum)
- 4653
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9296
- Möbius Function
- 1
- Radical
- 13947
- 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
- Divisors of 9999999.at n=7A027891
- Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x.at n=32A047826
- Smallest index i such that next_prime( 2*prime(i) ) - 2*prime(i) = 2n - 1.at n=30A074973
- Numbers n such that 6*10^n + 8*R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=10A103046
- Divisors of 10^14 - 1.at n=12A106305
- Minimal positive integer such that the smallest possible sum of digits of its multiple equals n.at n=14A173443
- Partial sums of floor(5^n/7).at n=6A178711
- G.f.: [Sum_{n>=0} x^(n*(n+1)/2) * (1+x)^n ]^3.at n=34A182152
- E.g.f. A(x) satisfies differential equation A'''(x)=A(x)+A(x)^2, A(0)=0, A'(0)=1, A''(0)=1, A'''(0)=1.at n=12A199882
- Number of zero-sum -n..n arrays of 4 elements with first through third differences also in -n..n.at n=25A202512
- Sum over each antidiagonal of A244306.at n=18A244307
- Expansion of Product_{k>=1} ((1+x^(3*k-1))*(1+x^(3*k-2)))^k.at n=37A262884
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 437", based on the 5-celled von Neumann neighborhood.at n=26A282216
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 461", based on the 5-celled von Neumann neighborhood.at n=36A282369
- G.f. A(x) satisfies A(x) = 1 + x*abs( 1/A(x) )^3.at n=12A380709