5300
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 11718
- Proper Divisor Sum (Aliquot Sum)
- 6418
- 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
- 2080
- Möbius Function
- 0
- Radical
- 530
- 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
- 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
- Oscillates under partition transform.at n=48A007213
- Coordination sequence T3 for Zeolite Code DOH.at n=45A008080
- Coordination sequence T10 for Zeolite Code EUO.at n=45A008096
- Coordination sequence for MgNi2, Position Mg2.at n=18A009935
- Number of lines through exactly 8 points of an n X n grid of points.at n=55A018815
- a(n) = n*(17*n - 1)/2.at n=25A022274
- Sequence satisfies T^2(a)=a, where T is defined below.at n=48A027596
- a(n) = n^3 + (n+1)^3 + (n+2)^3 + (n+3)^3 + (n+4)^3.at n=8A027604
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 36.at n=38A031534
- Values of n such that 90n+11, 90n+13, 90n+17, 90n+19 are all primes.at n=35A051897
- Truncated triangular pyramid numbers: a(n) = Sum_{k=9..n} (k*(k+1)/2 - 45).at n=24A051943
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 65 ).at n=35A063338
- a(n) = (4*(n+5)^n + n^n)/5.at n=4A083304
- Consider recurrence b(0) = n/3, b(n) = b(0)*floor(b(n-1)); sequence gives first integer reached, or -1 if no integer is ever reached.at n=47A087677
- Expansion of x*(1-x)/((1-2*x)*(1+3*x)).at n=9A091004
- Triangle, read by rows, where the n-th row lists the coefficients of the polynomial of degree n that generates the n-th diagonal of this sequence.at n=46A091150
- Row sums of triangle A091150, in which the n-th row lists the coefficients of the polynomial of degree n that generates the n-th diagonal.at n=8A091151
- Smallest number which can be expressed as the sum of its proper divisors in exactly n ways.at n=16A096356
- Bisection of A001157: a(n) = sigma_2(2n-1).at n=34A099978
- Structured heptagonal diamond numbers (vertex structure 5).at n=14A100179