6410
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11556
- Proper Divisor Sum (Aliquot Sum)
- 5146
- 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
- 2560
- Möbius Function
- -1
- Radical
- 6410
- 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
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that k | 13^k + 1.at n=22A015963
- Coordination sequence for root lattice B_3.at n=18A022145
- Expansion of 1/((1-3x)(1-5x)(1-6x)(1-12x)).at n=3A028058
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 16.at n=9A031694
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 3 (mod 4).at n=52A046768
- a(n) = 6*binomial(n,4) + 5*binomial(n,2) - 4*n + 5.at n=13A066455
- Upper bound on number of regular triangulations of cyclic polytope C(n, n-4).at n=26A066456
- Least number k such that floor( k / digit reversal of k ) = n.at n=42A068779
- Ulam numbers such that n/2 is also an Ulam number.at n=17A068799
- a(1)=1, then a(n)=2*a(n-1) if a(n-1) is prime, a(n)=a(n-1)+1 otherwise.at n=44A080735
- Even elements of A082931.at n=32A082933
- a(1)=1, a(n)=2a(n-1)+1 if a(n-1) is prime, a(n)=a(n-1)+1 otherwise.at n=33A083005
- Convoluted convolved Fibonacci numbers G_6^(r).at n=22A089111
- Numbers n such that the numerator of BernoulliB[n] is divisible by 691.at n=23A119864
- Number of distinct angles in all integer-sided triangles with all sides <= n.at n=33A123325
- G.f. satisfies: A(x) = (1+x) * A(x^2)*A(x^3)*A(x^4)*...*A(x^n)*...at n=30A129373
- Row sums of triangle A131424.at n=32A131425
- a(n) = 5*a(n-2) + 2*a(n-3).at n=13A135138
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 6 and 8.at n=30A136861
- 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, -1, 0), (-1, 1, 1), (0, 1, -1), (1, 0, 0), (1, 1, 0)}.at n=7A150364