13634
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21708
- Proper Divisor Sum (Aliquot Sum)
- 8074
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6400
- Möbius Function
- -1
- Radical
- 13634
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 138
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 4 nonzero 8th powers.at n=11A003382
- Numbers that are the sum of at most 4 nonzero 8th powers.at n=30A004877
- Triangle T(n, k) read by rows; given by [1, 1, 1, 1, 1, 1, 1, 1, ...] DELTA [1, 0, 2, 0, 2, 0, 3, 0, 2, 0, 4, 0, 2, 0, ...] (A000005 interspersed with 0's) where DELTA is Deléham's operator defined in A084938.at n=41A085853
- Sum of the numbers of unitary divisors of the binomial coefficients C(n,k), k=0..n.at n=42A103445
- Numbers n such that 10^n - 47 is prime.at n=10A178175
- a(n) = 13*n^2 - 16*n + 5.at n=33A202141
- Beach-Williams Pell numbers of type 2pq (p,q primes).at n=1A212075
- Equals one maps: number of n X 2 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..3 n X 2 array.at n=6A221587
- T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..3 nXk array.at n=29A221590
- T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..3 nXk array.at n=34A221590
- Number of nondecreasing -n..n vectors of length 3 whose dot product with some other -n..n vector equals 3.at n=21A226342
- Coefficients in the expansion of ([s] + [2s]x + [3s]x^2 + ...)/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = sqrt(3), s = sqrt(2).at n=37A279629
- G.f.: Product_{m>0} (1 + x^m + 2!*x^(2*m) + 3!*x^(3*m) + 4!*x^(4*m)).at n=20A289486
- Number of binary words of length n such that in every prefix and in every suffix the number of 0's and the number of 1's differ by at most two.at n=18A306293
- Numbers k such that iphi(k) = iphi(k+1), where iphi(k) is an infinitary analog to the Euler totient function (A091732).at n=19A326403
- Numbers k such that the number of divisors of k^2 equals the number of divisors of phi(k), where phi is the Euler totient function.at n=44A363059
- Number of integer partitions of 2n with exactly n distinct sums of nonempty submultisets.at n=36A365660