6357
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9184
- Proper Divisor Sum (Aliquot Sum)
- 2827
- 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
- 3888
- Möbius Function
- -1
- Radical
- 6357
- 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
- 31
- 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
- Number of partitions of floor(7n/2)-1 into n nonnegative integers each no greater than 7.at n=16A001980
- a(n) = T(2n-1,n), where T is the array in A026098.at n=37A026102
- 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 52.at n=31A031550
- a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=a(2)=1.at n=31A033499
- Number of partitions of n into parts not of the form 13k, 13k+5 or 13k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=34A035953
- Expansion of 1/((1-x)*(1-x^2)^2*(1-x^3)^2*(1-x^4)^2*(1-x^5)*(1-x^6)).at n=24A045513
- Numbers with no zeros in their cubes such that the products of the digits of their cubes are also cubes.at n=43A067071
- Numbers that define integer Heronian triangles [a(n), prime(a(n)), A068968(n)] with area A068969(n).at n=29A068967
- Expansion of (1 + x)*(1 - x + x^2)/((1 - x)^4*(1 + x + x^2)).at n=37A070333
- Sequence of numerators of the continued fraction derived from the sequence of the number of distinct factors of a number (A001221, also called omega(n)).at n=16A112595
- Row sums of triangle A141155.at n=14A141156
- Minimum number k for which the digital sum of k*n is 3*n.at n=14A147823
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 1, 1), (1, -1, 0), (1, 0, 0), (1, 1, -1)}.at n=8A148748
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (0, 1), (1, -1)}.at n=14A151375
- a(n) = 289*n - 1.at n=21A158253
- a(n) = 22*n^2 - 1.at n=16A158540
- Numbers n such that n^3 - 4 and n^3 + 4 are prime.at n=27A161589
- n times the n-th noncomposite.at n=38A164931
- Ascending sequence of numbers such that the sum of any two distinct elements (even + odd) is a prime number.at n=24A180743
- Inverse permutation to A190128.at n=16A190129