13710
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 32976
- Proper Divisor Sum (Aliquot Sum)
- 19266
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3648
- Möbius Function
- 1
- Radical
- 13710
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 89
- 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
- When expressed in base 2 and then interpreted in base 3, is a multiple of the original number.at n=20A062845
- Indices of primes in sequence defined by A(0) = 89, A(n) = 10*A(n-1) - 61 for n > 0.at n=9A101064
- Pandigitals in some base (A061845) with an extra property: each number formed by the first i digits is divisible by i (digits in the pandigital base).at n=3A111456
- Numbers k such that 6*p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)*p(k+5)-1 and 6*p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)*p(k+5)+1 are twin primes with p(h) = h-th prime.at n=21A129311
- Positions of those 1's that are followed by a 0, summed over all Fibonacci binary words of length n. A Fibonacci binary word is a binary word having no 00 subword.at n=12A152881
- Number of geometrically distinct open knight's tours of a 3 X n chessboard that have twofold symmetry.at n=16A169776
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the Fibonacci self-fusion matrix (A202453).at n=50A202605
- Pandigitals in some base b (A061845) with an extra property: each number formed by the first i digits is divisible by i (digits in the pandigital base b) for 1 <= i <= b-1.at n=11A256112
- Squarefree numbers n such that n^2 + 1 and n^2 - 1 are semiprime.at n=19A268697
- Expansion of 1/(1 - x*Product_{k>=1} 1/(1 + k*x^k)).at n=31A299210
- Sum of the third largest parts of the partitions of n into 9 squarefree parts.at n=50A326530
- a(n) is the number of edges formed by n-secting the angles of a hexagon.at n=28A335735
- Number of compositions (ordered partitions) of n into at most 6 nonprime parts.at n=37A347799
- Products of four distinct primes between twin primes.at n=36A353022
- a(n) = Sum_{k=0..floor(n/2)} (-1)^k * binomial(n-k,k) * Catalan(k).at n=20A360024
- Expansion of Product_{k>=1} (1 + x^(k^2)) * (1 + x^k).at n=48A369570
- Triangle read by rows: T(n,k) is the number of non-equivalent subsets of size k in S_n, 0 <= k <= n!.at n=44A381842