6307
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
- 7776
- Proper Divisor Sum (Aliquot Sum)
- 1469
- 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
- 4992
- Möbius Function
- -1
- Radical
- 6307
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 62
- 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(n) = a(n-2) + a(n-3), with a(0) = 0, a(1) = 1, a(2) = 2.at n=32A007307
- a(n+3) = 5*a(n+2)-4*a(n+1)+a(n).at n=8A012866
- Numbers whose sum of divisors is a fifth power.at n=18A019423
- Pseudoprimes to base 52.at n=22A020180
- Numbers k such that Fib(k) == -89 (mod k).at n=6A023171
- n written in fractional base 9/6.at n=34A024654
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5) < cn(1,5).at n=59A036858
- a(n) = nextprime(3^n) - 2^n.at n=8A037127
- Largest squarefree number k such that Q(sqrt(-k)) has class number n.at n=7A038552
- Number of partitions satisfying cn(1,5) <= 1 and cn(4,5) <= 1.at n=41A039854
- Numbers whose base-5 representation contains exactly two 0's and three 2's.at n=17A045183
- Integers whose sum of divisors is 6^5 = 7776.at n=13A048255
- Greatest number, not divisible by 4, having exactly n partitions into three squares.at n=3A095811
- Greatest number, not divisible by 4, having exactly n partitions into three positive squares.at n=3A095812
- Decimal equivalents of numbers in A100751.at n=16A100489
- Number of partitions of n into distinct parts in which the number of parts divides n.at n=65A102627
- Numbers n such that A001414(n) is a golden semiprime, where A001414 is the sum of primes dividing n (with repetition).at n=42A108219
- Number of unordered pairs of distinct length-n binary words having the same number of 1's.at n=7A108958
- Expansion of (1-x-2*x^2)/(1-x^2+x^3).at n=36A109248
- Expansion of x*(4+9*x-7*x^2) / ((1-x)*(1+3*x-x^2)).at n=8A134250