682
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1152
- Proper Divisor Sum (Aliquot Sum)
- 470
- 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
- 300
- Möbius Function
- -1
- Radical
- 682
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 12
- Smith 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
Names
- German
- sechshundertzweiundachtzig· ordinal: sechshundertzweiundachtzigste
- English
- six hundred eighty-two· ordinal: six hundred eighty-second
- Spanish
- seiscientos ochenta y dos· ordinal: 682º
- French
- six cent quatre-vingt-deux· ordinal: six cent quatre-vingt-deuxième
- Italian
- seicentoottantadue· ordinal: 682º
- Latin
- sescenti octoginta duo· ordinal: 682.
- Portuguese
- seiscentos e oitenta e dois· ordinal: 682º
Appears in sequences
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=26A000223
- From a fractal set of positive Lebesgue measure, a self-replicating tiling with holes, the 4-reptile following the 2-reptile of Paul Levy.at n=38A000361
- Number of centered trees with n nodes.at n=13A000676
- a(2n) = 2*a(2n-1), a(2n+1) = 2*a(2n)+1 (also a(n) is the n-th number without consecutive equal binary digits).at n=10A000975
- Numerators of continued fraction convergents to sqrt(5).at n=5A001077
- Numbers k such that phi(2k+1) < phi(2k).at n=7A001837
- a(0) = 1; for n > 0, a(n) = a(n-1) + floor(sqrt(a(n-1))).at n=55A002984
- Numbers that are the sum of 12 positive 5th powers.at n=31A003357
- Tetrahedral numbers written backwards.at n=11A004161
- a(n) = round(n*phi^6), where phi is the golden ratio, A001622.at n=38A004941
- a(n) = ceiling(n*phi^6), where phi is the golden ratio.at n=38A004961
- Representation degeneracies for Ramond strings.at n=9A005306
- Number of partitions of 3n into powers of 3.at n=40A005704
- Numbers k such that k^8 + 1 is prime.at n=27A006314
- Number of partitions of n into parts of sizes {a( )} is a(n).at n=30A007209
- Number of strict 3rd-order maximal independent sets in cycle graph.at n=30A007392
- Number of n-node Steinhaus graphs whose complements have at least one cut-vertex.at n=25A007812
- Number of nonsplit type 2 metacyclic 2-groups of order 2^n.at n=38A007981
- Coordination sequence T4 for Zeolite Code AET.at n=18A008010
- Coordination sequence T2 for Zeolite Code AFS.at n=20A008024