13094
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 19644
- Proper Divisor Sum (Aliquot Sum)
- 6550
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6546
- Möbius Function
- 1
- Radical
- 13094
- 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
- 138
- 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
- yes
- Odd
- no
Appears in sequences
- a(0) = 2 and, for n >= 1, rewrite 0->100 in the binary expansion of n and append 10 to the right.at n=41A080310
- Numbers such that Liouville's function (A002819) and the little omega analog to Liouville's function (A174863) are equal.at n=26A224987
- Evolution of 13094 using Eric Angelini's add-or-subtract-and-iterate procedure.at n=0A235335
- Least k > 1 such that phi(k*n-1) = phi(k*n+1), or -1 if no such k exists.at n=29A276052
- Least k such that phi(k*n-1) = phi(k*n+1), or -1 if no such k exists.at n=29A276373
- Expansion of Product_{k>=1} 1/(1 - x^(k*(k+1)/2))^2.at n=37A298435
- Indices of primes followed by a gap (distance to next larger prime) of 38.at n=32A320717
- Number of integer partitions (of any nonnegative integer) whose sum minus the lesser of their maximum part and their number of parts is n.at n=25A325232
- a(n) = Sum_{k=0..floor(n/3)} Stirling2(n - 2*k,k).at n=16A357903
- Positive integers in which the sum of the k-th powers of their digits is a prime number for k = 1, 2, 3, 4, 5, and 6 but not for k=7.at n=43A359449
- G.f. satisfies A(x) = exp( Sum_{k>=1} (-1)^(k+1) * (2^k + A(x^k)) * x^k/k ).at n=9A363542