13350
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
- 24
- Divisor Sum
- 33480
- Proper Divisor Sum (Aliquot Sum)
- 20130
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3520
- Möbius Function
- 0
- Radical
- 2670
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 68
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Base-7 Armstrong or narcissistic numbers, written in base 7.at n=16A010349
- a(n) = (d(n)-r(n))/2, where d = A026060 and r is the periodic sequence with fundamental period (1,0,0,0).at n=45A026061
- a(n) = round(10000*log(n/10)).at n=37A104077
- Positive integers k such that k^20 + 1 is semiprime (A001358).at n=43A105282
- 10 times pentagonal numbers: a(n) = 5*n*(3*n-1).at n=30A153780
- Diagonal sums of number triangle A185962.at n=42A185964
- a(n) = n*(5n^2 + 3n + 4) / 6.at n=25A203551
- Numbers n such that n!10+1 is prime.at n=41A204656
- Sum of prime divisors of n (with repetition) is one less than the sum of prime divisors (with repetition) of n+1.at n=20A228126
- Sums of Pythagorean sextuples in increasing order: The sums of sets of six natural numbers which correspond to the lengths of the edges of a tetrahedron whose four faces are all different Pythagorean triangles.at n=18A248548
- Number of nX4 0..1 arrays with every element equal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.at n=6A298066
- Number of nX7 0..1 arrays with every element equal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.at n=3A298069
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.at n=48A298070
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.at n=51A298070
- Expansion of Product_{k>0} theta_3(q^k), where theta_3() is the Jacobi theta function.at n=30A320067
- a(n) is the smallest number that can be partitioned into n ways as the sum of two Moran numbers.at n=28A337862
- Numerator of the maximal sum of inverse squares of the singular values of symmetric Toeplitz anti-Hadamard matrices of order n.at n=11A351240
- Array read by antidiagonals: T(m,n) is the number of induced cycles in the grid graph P_m X P_n.at n=49A360196
- Array read by antidiagonals: T(m,n) is the number of induced cycles in the grid graph P_m X P_n.at n=50A360196
- a(n) = 1 + Sum_{k=0..n-1} (1 + k^2) * a(k) * a(n-1-k).at n=5A385835