5250
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 14976
- Proper Divisor Sum (Aliquot Sum)
- 9726
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1200
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 6
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 28
- 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
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=33A000338
- Number of linear geometries on n (unlabeled) points.at n=10A001200
- a(n) = (2*n-1)^2 * a(n-1) - 3*C(2*n-1,3) * a(n-2) for n>1; a(0) = a(1) = 1.at n=4A002370
- 5th-order maximal independent sets in cycle graph.at n=48A007388
- Theta series of A_6 lattice.at n=10A008446
- Area of more than one Pythagorean triangle.at n=7A009127
- Rectilinear crossing number of complete graph on n nodes.at n=25A014540
- Number of 9's in all partitions of n.at n=37A024793
- a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=28A025005
- a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 4.at n=27A025010
- Numbers having period-4 6-digitized sequences.at n=27A031197
- Numbers k such that 249*2^k+1 is prime.at n=36A032501
- a(n) = n*(2*n+5).at n=50A033537
- Otto Haxel's guess for magic numbers of nuclear shells.at n=25A033547
- a(n) = n^2*(n+1)*binomial(2*n-2, n-1)/2.at n=5A037972
- Numbers having three 2's in base 8.at n=32A043431
- Internal digits of n^2 include digits of n as subsequence.at n=20A046834
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= n/2.at n=16A047162
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= (n-1)/2.at n=16A047173
- A convolution triangle of numbers generalizing Pascal's triangle A007318.at n=16A049326