13361
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13824
- Proper Divisor Sum (Aliquot Sum)
- 463
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12900
- Möbius Function
- 1
- Radical
- 13361
- 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
- 94
- 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
- Numerators of convergents to cube root of 3.at n=10A002354
- Pseudoprimes to base 95.at n=36A020223
- Strong pseudoprimes to base 95.at n=7A020321
- Conjectured number of irreducible multiple zeta values of depth n and weight 3n (confirmed up to n=7).at n=40A020999
- Number of partitions of n into parts not of the form 17k, 17k+8 or 17k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=37A035969
- a(n)/n^2 is the minimal average squared Euclidean distance of n points to their center of gravity among all configurations of n points on the hexagonal lattice.at n=45A059518
- Trajectory of n under the Reverse and Add! operation carried out in base 3 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=35A077405
- Lengths of bit runs in A123504.at n=44A123505
- a(n) = Product_{k=1..(n-1)/2} 1 + 4*cos(k*Pi/n)^2 + 16*cos(k*Pi/n)^4 + 64*cos(k*Pi/n)^6 + 256*cos(k*Pi/n)^8.at n=8A152122
- An 8th-degree product form sequence: a(n)=Product[(1 + 4*Sin[k*Pi/n]^2 + 16*Sin[k*Pi/n]^4 + 64*Sin[k*Pi/n]^6 + 256*Sin[k*Pi/n]^8), {k, 1, Floor[(n - 1)/2]}].at n=8A152144
- Positive integers k such that k^2 = (m^5 + n^5)/(m + n) for some coprime integers m, n.at n=3A156668
- Positive integers k such that k^2 = (m^5 + n^5)/(m + n) for some nonnegative coprime integers m, n.at n=2A156669
- Numbers that are the product of two distinct primes a and b, such that a^3+b^3 is the average of a twin prime pair.at n=38A176876
- a(n) = n*(14*n-3).at n=31A185019
- 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 566", based on the 5-celled von Neumann neighborhood.at n=13A283063
- a(n) = Sum_{j=1..n} Sum_{k=1..n} tau(j*k).at n=34A372674
- a(n) is the number of 5 element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangle of side n units having three vertices of a trapezoid inside the triangle.at n=57A391039