6760
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16470
- Proper Divisor Sum (Aliquot Sum)
- 9710
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2496
- Möbius Function
- 0
- Radical
- 130
- Omega Function (Ω)
- 6
- 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
- 44
- Smith Number
- yes
- 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
- Expansion of 1/((1-x)*(1-5*x)*(1-8*x)*(1-12*x)).at n=3A022725
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (F(2), F(3), F(4), ...), t = A014306.at n=35A025110
- Expansion of 1/((1-2x)(1-3x)(1-10x)(1-11x)).at n=3A025955
- a(n) = (d(n)-r(n))/5, where d = A026043 and r is the periodic sequence with fundamental period (0,2,3,0,0).at n=43A026045
- a(n) = 10*n^2.at n=26A033583
- Number of partitions satisfying 0 < cn(0,5) + cn(1,5) + cn(4,5).at n=31A039900
- a(n) = Product_{d|n} (n/d + d).at n=24A045661
- Internal digits of n^2 include digits of n as subsequence.at n=25A046834
- Numbers n such that n and its reversal are both multiples of 13.at n=31A062903
- Non-palindromic number and its reversal are both multiples of 13.at n=18A062912
- Numbers k that, when expressed in base 5 and then interpreted in base 8, give a multiple of k.at n=28A062930
- Number of length 6 walks on an n-dimensional hypercubic lattice starting and finishing at the origin and staying in the nonnegative part.at n=8A064046
- Numbers k such that 1000k+1, 1000k+3, 1000k+7, 1000k+9 are all primes.at n=4A064962
- Polynomial (1/3)*n^3 + (9/2)*n^2 + (85/6)*n - 2.at n=23A073775
- Norm of the sum of divisors function sigma(n) generalized for Gaussian integers.at n=33A103230
- Number of polyominoes consisting of 5 regular unit n-gons.at n=37A103471
- Partial sums of A107947.at n=40A107957
- a(n) = n*(n+13)*(n+14)/6.at n=26A111144
- The 2nd self-composition of A120010; g.f.: A(x) = G(G(x)), where G(x) = g.f. of A120010.at n=8A120017
- Square table, read by antidiagonals, of self-compositions of A120010.at n=53A120019