6117
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8160
- Proper Divisor Sum (Aliquot Sum)
- 2043
- 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
- 4076
- Möbius Function
- 1
- Radical
- 6117
- Omega Function (Ω)
- 2
- 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
- 62
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- a(n) = floor(n*phi^12), where phi is the golden ratio, A001622.at n=19A004927
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence).at n=29A024685
- a(1) = 3; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0.at n=32A025000
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = A000201 (lower Wythoff sequence).at n=28A025118
- 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=18A031550
- Erroneous version of A057835.at n=4A045915
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 16.at n=26A050965
- Least number beginning with prime(n) such that every concatenation is a prime.at n=17A090508
- Triangle T read by rows: T(m,n) = number of convex polyominoes with an m+1 X n+1 minimal bounding rectangle, m > 0, n <= m.at n=29A093118
- Number of convex polyominoes with a 3 X n+1 minimal bounding rectangle.at n=7A093119
- Semiprimes which are the sum of two pentagonal numbers (A000326) in exactly two different ways.at n=32A120536
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n having k cells in the second column (n>=1, k>=0). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column.at n=34A121581
- Semiprimes s such that s-/+4 are primes.at n=37A125216
- Numbers n such that the greatest prime < 2^n is a twin prime member.at n=17A128945
- a(0)=0. a(n) = a(n-1) + sum of positive integers which are <= n and not part of the sequence.at n=34A129694
- a(n) = (n^3 + 3*n - 2)/2.at n=22A132127
- 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, -1), (-1, -1, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0)}.at n=7A151031
- Numbers n with property that 4 n^2 are squares arising in A158470.at n=21A158517
- Partial sums of A007694.at n=31A174030
- Numbers k such that 30*k and 60*k are both the average of twin prime pairs.at n=36A177679