10916
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
- 6
- Divisor Sum
- 19110
- Proper Divisor Sum (Aliquot Sum)
- 8194
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5456
- Möbius Function
- 0
- Radical
- 5458
- Omega Function (Ω)
- 3
- 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
- 161
- 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
- Number of perfect quadratic forms or lattices in dimension n.at n=7A004026
- Number of lines through exactly 5 points of an n X n grid of points.at n=44A018812
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=35A020417
- Number of partitions in parts not of the form 25k, 25k+3 or 25k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=37A036002
- Numerators of continued fraction convergents to sqrt(353).at n=11A041668
- Numbers n whose sum of divisors and number of divisors are both triangular numbers.at n=32A070996
- a(n) = 3*a(n-1) - a(n-2) - 3*a(n-3) + 2*a(n-4).at n=13A084172
- (prime(n)*(prime(n+1)-1) + (prime(n)-1)*prime(n+1)) / 2.at n=25A099909
- Numbers k such that k and k^2 use only the digits 0, 1, 5, 6 and 9.at n=6A136871
- Partial sums of A139250.at n=38A160424
- Number of partitions of n such that (number of distinct parts) = multiplicity of the least part.at n=48A239962
- Expansion of Product_{k>=0} 1/(1-x^(3*k+1))^4.at n=17A261635
- Number of symmetric maximal irredundant sets in the n-path graph.at n=49A291444
- Triangle read by rows, coefficients of generalized Eulerian polynomials F_{3;n}(x).at n=18A292605
- Row sums of A362370.at n=49A362307
- Numerator of the least probability that a particular free polyomino with n cells appears as the image of a simple random walk on the square lattice.at n=6A367996