6304
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
- 12
- Divisor Sum
- 12474
- Proper Divisor Sum (Aliquot Sum)
- 6170
- 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
- 3136
- Möbius Function
- 0
- Radical
- 394
- Omega Function (Ω)
- 6
- 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
- 31
- 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
- Squares written in base 7.at n=46A002440
- Coefficients of completely replicable function "6d".at n=14A007263
- Numbers k such that the continued fraction for sqrt(k) has period 68.at n=17A020407
- n written in fractional base 9/6.at n=31A024654
- Expansion of 1/((1-3x)(1-4x)(1-8x)(1-11x)).at n=3A028045
- 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 39.at n=23A031537
- "BGJ" (reversible, element, labeled) transform of 1,1,1,1...at n=9A032049
- Denominators of continued fraction convergents to sqrt(864).at n=10A042669
- Numbers whose base-4 representation contains exactly three 0's and three 2's.at n=25A045055
- Numbers whose base-5 representation contains exactly three 0's and two 2's.at n=24A045186
- Open 3-dimensional ball numbers (version 3): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2,1/2,0).at n=23A053595
- Number of lattice paths in plane starting at (0,0) and ending at (n,n) with steps from {(i,j): i+j > 0, i, j >= 0} that never go below the line y = x.at n=5A059435
- Numbers k such that k+1 is composite and divides 3^k-2^k.at n=14A068410
- Number of partitions of n into squarefree parts.at n=38A073576
- Smallest multiple of the n-th prime such that the n-th partial sum is divisible by n.at n=44A074105
- a(n) = sum of absolute-valued coefficients of (1+2*x-x^2)^n.at n=8A084776
- Non-cubefree numbers k such that 2k+1 is also non-cubefree (A046099).at n=43A115170
- G.f.: A(x) = Product_{n>=1} G(x^n,n)^n where G(x,n) = 1 + x*G(x,n)^n.at n=13A134774
- a(n) = prime(prime(n*n) - n*n) - n*n where prime(n) is the n-th prime.at n=12A141127
- Partial sums of primes in which no digit is a prime A061372.at n=5A172523