6752
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
- 13356
- Proper Divisor Sum (Aliquot Sum)
- 6604
- 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
- 3360
- Möbius Function
- 0
- Radical
- 422
- 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
- 44
- 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
- Number of points on surface of dodecahedron: a(n) = 30*n^2 + 2 for n > 0.at n=15A005903
- Royal paths in a lattice (convolution of A006318).at n=7A006319
- Number of points on the surface of 5-dimensional cube.at n=5A008512
- a(n) = floor( n*(n-1)*(n-2)/26 ).at n=57A011908
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/26 ).at n=22A011936
- Nine iterations of Reverse and Add are needed to reach a palindrome.at n=43A015990
- Positive numbers k such that k = x^5 + y^5 has a solution in nonzero integers x, y.at n=26A020896
- Number of 8's in all partitions of n.at n=37A024792
- Numbers k such that k^2 is palindromic in base 15.at n=40A030073
- 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 41.at n=19A031539
- Triangular array read by rows associated with Schroeder numbers: T(1,k) = 1; T(n,k) = 0 if k < n; T(n,k) = T(n,k-1) + T(n-1,k-1) + T(n-1,k).at n=34A033877
- Decimal part of cube root of n starts with 9: first term of runs.at n=17A034135
- Composite numbers k such that the digits of the prime factors of k are either 1 or 2.at n=37A036302
- Denominators of continued fraction convergents to sqrt(658).at n=10A042265
- Number of positive integers <= 2^n of form 4 x^2 + 7 y^2.at n=16A054171
- Triangle of numbers {a(n,k), n >= 0, 0<=k<=n} defined by a(0,0)=1, a(1,0)=2, a(n,0)=A006318(n), a(n,n)=A006319(n), a(n+1,0)=a(n,0)+a(n,n), a(n,m+1)= Sum A006318(k)*a(n-k,0), k=0..m.at n=27A073150
- Triangle of numbers {a(n,k), n >= 0, 0<=k<=n} defined by a(0,0)=1, a(n+1,0)=A006319(n)=a(n,0) + Sum a(k,k), k=0..n-1. a(n,m+1)= a(n,0) + Sum A006319(k)*a(n-k-1,0), k=0..m-1.at n=28A073151
- Position of first repeat of the opening sequence of length n occurring after the first repeat of the opening sequence of length n-1 in the Kolakoski sequence (A000002).at n=27A074300
- Inverse of coordination sequence array A113413.at n=29A080245
- Formal inverse of triangle A080246. Unsigned version of A080245.at n=29A080247