6582
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13176
- Proper Divisor Sum (Aliquot Sum)
- 6594
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2192
- Möbius Function
- -1
- Radical
- 6582
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 137
- 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 the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 80.at n=11A031578
- "DFK" (bracelet, size, unlabeled) transform of 2,1,1,1...at n=30A032215
- Positive numbers having the same set of digits in base 5 and base 9.at n=40A037432
- Numbers having three 6's in base 8.at n=32A043447
- Number of 2 X n matrices over GF(3) under row and column permutations.at n=8A052267
- Numbers which are the sum of their proper divisors containing the digit 9.at n=22A059468
- a(n) = (n^3 + 5*n + 18)/6.at n=36A060163
- Integers n > 879 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 879.at n=32A063052
- Number of primes between consecutive partition numbers.at n=56A086609
- Maximal troughs in decimal expansions of Pi: positions of troughs equal to 8.at n=9A105276
- a(0)=0. a(n) = a(n-1) + (sum of positive integers which are coprime to n, <= n and missing from {a(0),a(1),a(2),..,a(n-1)}).at n=41A122847
- Numbers k such that 6*p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)-1 and 6*p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)+1 are twin primes with p(h) = h-th prime.at n=18A129310
- Number of possible outcomes after n steps of the Zeno gambling process.at n=21A137414
- Number of different deltoids (including squares) whose vertices are on an n X n grid.at n=26A159944
- Where zeros occur in the 1-0 race in the binary expansion of Pi-3; that is, n such that A174832(n) = 0.at n=21A178980
- Number of numerical semigroups of multiplicity n and genus n+2.at n=34A180739
- Q-toothpick sequence (see Comments for precise definition).at n=57A187210
- Numbers 1 through 10000 sorted lexicographically in ternary representation.at n=38A190128
- Monotonic ordering of set S generated by these rules: if x and y are in S then 2xy-x-y is in S, and 3 is in S.at n=12A192525
- Number of -n..n arrays x(0..2) of 3 elements with zero sum and nonzero first and second differences.at n=46A200455