5305
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6372
- Proper Divisor Sum (Aliquot Sum)
- 1067
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4240
- Möbius Function
- 1
- Radical
- 5305
- Omega Function (Ω)
- 2
- 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
- 98
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Crystal ball sequence for diamond.at n=18A007904
- Molien series for A_6.at n=42A008629
- Numbers k such that the continued fraction for sqrt(k) has period 7.at n=39A010338
- Number of series-reduced planted trees with n leaves of 2 colors and no symmetries.at n=9A031148
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 13.at n=6A031601
- Digit sum of 'odd' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=31A036927
- Number of asymmetric rooted Greg trees.at n=9A052301
- a(n) = (2*n-1)^2 + (2*n)^2.at n=25A060820
- Numbers having exactly twelve anti-divisors.at n=24A066478
- a(n) = (prime(n)^2 + 1)/2.at n=25A066885
- a(n)= 2F2(n+1, n+2; 1, 2; 1) *n! *(n+1)! /exp(1), where 2F2 is the generalized hypergeometric function.at n=3A070074
- a(n) = 8*n^2 - 4*n + 1.at n=26A080856
- Downward vertical of triangular spiral in A051682.at n=17A081272
- Least hypotenuse of primitive Pythagorean triangles with odd leg 2n+1.at n=50A096891
- Numbers n such that (sigma(n-2)+sigma(n+2))/2 = sigma(n).at n=20A099631
- Numbers n such that 4*10^n + 6*R_n - 5 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=16A102994
- Numbers n such that 6*10^n + 8*R_n - 7 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=11A103044
- Least k such that prime(n)^2 divides binomial(2k,k).at n=26A110494
- a(2*n+1) = 5*a(n), a(2*n+2) = 6*a(n) + a(n-1).at n=37A116553
- Binomial transform of [1, 3, 7, 0, 0, 0, ...].at n=39A140063