10750
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 20592
- Proper Divisor Sum (Aliquot Sum)
- 9842
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4200
- Möbius Function
- 0
- Radical
- 430
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 99
- 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
- Related to population of numbers of form x^2 + y^2.at n=15A000709
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 1, 0, 2, 2.at n=14A025248
- Numerators of continued fraction convergents to sqrt(938).at n=8A042814
- Expansion of (1-x)/(1+2*x^2-x^3).at n=26A078035
- The number of rectangles (orthogonal or not) with corners on an n X n grid of points.at n=12A085582
- Partial sums of ceiling(n^2/4).at n=50A175287
- Number of 0..n arrays x(0..7) of 8 elements with zero 4th differences.at n=36A200331
- Number of 9's in the last section of the set of partitions of n.at n=50A206559
- G.f. satisfies: A(x) = 1 + x*exp( Sum_{n>=1} A226908(n)*A(x^n)*x^n/n ), where A(x) = exp( Sum_{n>=1} A226908(n)*x^n/n ).at n=13A226907
- Fixed points of the transform A284803.at n=48A284804
- Number of minimal total dominating sets in the wheel graph on n nodes.at n=32A302658
- Expansion of Sum_{k>=0} x^k * Product_{j=1..k} (1 + x^j)^j.at n=23A306731
- Number of nontrivial divisors of n!.at n=17A337106
- a(n) is the Wiener index of a broom on 2n vertices of which n+2 are pendant.at n=22A349416
- Expansion of g.f. A(x) satisfying 2 = Sum_{n=-oo..+oo} (-1)^n * x^n * (2*A(x) + x^(2*n-1))^(n+1).at n=8A363182
- Number of integer partitions of n with weighted alternating sum 0.at n=55A363532
- G.f. A(x) satisfies A(x) = 1 + x*A(x) / (1 - x*A(x)^5).at n=7A364734
- a(n) is the number of distinct triangles whose sides do not pass through a grid point and whose vertices are three points of an n X n grid.at n=25A372217