6356
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12768
- Proper Divisor Sum (Aliquot Sum)
- 6412
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2712
- Möbius Function
- 0
- Radical
- 3178
- Omega Function (Ω)
- 4
- 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
- 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
- A generalized partition function.at n=14A002603
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=38A020391
- Numbers n such that there are equal numbers of 0's and 1's in first n digits of binary representation of Pi.at n=6A039624
- Numerators of continued fraction convergents to sqrt(798).at n=2A042538
- Number of orbits of the group of units of Z/(n) acting naturally on the 4-subsets of Z/(n).at n=36A063381
- Sum of the reciprocals of the partitions of n enumerated in A058360.at n=45A066824
- Non-balanced numbers in A015765.at n=28A074868
- Numbers n such that n and n+1 both are members of A074997; i.e., on the one hand n-1 and n+1 have the same prime signature, on the other hand n and n+2 have the same prime signature.at n=37A086540
- Numbers n such that 6*10^n + 5*R_n + 4 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=12A103041
- n(k) is the minimum n that requires at least k to make 2*Prime[n]+Prime[n-k] a prime.at n=42A114237
- Start with 1 and repeatedly reverse the digits and add 35 to get the next term.at n=8A118632
- (Sum of the squares of the quadratic residues of prime(n)) / prime(n).at n=40A125614
- a(n) = n*(8*n+3).at n=28A139276
- Numbers k such that the three numbers k+3, k-3 and k+5 are all prime.at n=44A144842
- Numbers m such that m and m+22 have the same sum of divisors.at n=27A172333
- Triangle read by rows: T(n,k) is the number of permutations of [n] having k blocks of even length.at n=28A180194
- Number of 7-element nondividing subsets of {1, 2, ..., n}.at n=30A187494
- Numbers n such that d(n-2) = d(n) = d(n+2) = 12 where d(n)=A000005(n).at n=6A190645
- Number of n X 1 0..4 arrays with rows and columns lexicographically nondecreasing and no element equal to the number of horizontal and vertical neighbors equal to itself.at n=46A201722
- Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n+1.at n=24A211142