8305
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10944
- Proper Divisor Sum (Aliquot Sum)
- 2639
- 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
- 6000
- Möbius Function
- -1
- Radical
- 8305
- Omega Function (Ω)
- 3
- 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
- 127
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- a(0) = 1, a(n) = 23*n^2 + 2 for n>0.at n=19A010013
- Floor[n(n-1)(n-2)(n-3)/14].at n=20A011924
- Number of Hamiltonian paths from NW to SW corners in a grid with 2n rows and 4 columns.at n=6A014524
- Composite numbers whose prime factors contain no digits other than 1 and 5.at n=18A036305
- Base-7 palindromes that start with 3.at n=38A043017
- Numbers whose base-7 representation contains exactly four 3's.at n=7A043408
- Numbers of the form p*q*r where p,q,r are distinct odd palindromic primes (odd terms from A002385).at n=35A046405
- A051851(n)/row_index_of(n).at n=63A051852
- Numbers k such that Sum_{j=1..k} sigma(j) is divisible by k, where sigma(j) = sum of divisors of j (A000203).at n=11A056550
- Numbers k such that Sum_{j=1..k} A001065(j) is divisible by k.at n=13A063901
- Numbers n such that n and the n-th prime have the same digits.at n=24A074350
- Numbers n for which there are exactly seven k such that n = k + (product of nonzero digits of k).at n=1A096928
- a(n) = ((6 + sqrt(5))^n - (6 - sqrt(5))^n)/(2*sqrt(5)).at n=4A153882
- a(n) = smallest number m such that m^2 and n^2 share no common digits and m^2 and n^2 together use all 10 digits, a(n) = 0 if no such m exists.at n=11A158931
- a(n) = smallest number m such that m^2 and n^2 share no common digits and m^2 and n^2 together use all 10 digits, a(n) = 0 if no such m exists.at n=20A158931
- a(n) = smallest number m such that m^2 and n^2 share no common digits and m^2 and n^2 together use all 10 digits, a(n) = 0 if no such m exists.at n=37A158931
- a(n) = (9*n^4+10*n^3-3*n^2-4*n)/12.at n=10A172045
- Number of row-convex polyplets with n cells.at n=6A187077
- Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant >= 2n.at n=12A210367
- Number of non-intersecting unit cubes regularly packed into the tetrahedron of edge length n.at n=42A219965