6677
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7296
- Proper Divisor Sum (Aliquot Sum)
- 619
- 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
- 6060
- Möbius Function
- 1
- Radical
- 6677
- 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
- 137
- 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
- G.f.: 1/Product_{k>=1} (1-prime(k)*x^prime(k)).at n=18A002098
- RATS: Reverse Add Then Sort the digits applied to previous term, starting with 1.at n=9A004000
- Numbers whose base-9 representation has exactly 5 runs.at n=23A043634
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 8.at n=19A050957
- a(n) = a(n-1) + rotate( a(n-1), 1 digit right), a(1) = 1.at n=9A051300
- Numbers k such that k | sigma_6(k) + phi(k)^6.at n=11A055700
- Numbers k such that 5*2^k - 3 is prime.at n=41A058588
- a(1) = 1; a(n) = Sum_{k=1..n-1} a(floor((n-1)/k)).at n=40A078346
- Where records occur in A079366.at n=9A079368
- Positions of 9 in partition of decimal expansion of Pi A104807.at n=19A104809
- Semiprimes (A001358) made of nontrivial runs of identical digits.at n=15A116063
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + k^11 + ... + k^61 + k^63 is prime.at n=42A124209
- Smallest multiple of A047201(n) (i.e., numbers not divisible by 5) with only digits 6 and 7.at n=8A124476
- Numbers n such that 11*n | 5^n - 3.at n=4A125285
- Row sums of triangle A128320.at n=6A128324
- Beastly fax numbers: numbers containing the fax number of the Beast (667, one more than its regular number) in their decimal expansion.at n=14A138563
- 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, 0, 1), (0, -1, 1), (1, 1, -1), (1, 1, 1)}.at n=7A149748
- Numbers m such that the sum of square of factorial of decimal digits is square.at n=35A173689
- Losing positions in Nim (misere) with up to 9 stones on each heap.at n=62A190588
- Number of 3X3X3 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.at n=15A214541