82
domain: N
Properties
Digital Properties
- Digit Count
- 2
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 126
- Proper Divisor Sum (Aliquot Sum)
- 44
- 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
- 40
- Möbius Function
- 1
- Radical
- 82
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 110
- Smith Number
- no
Classification
- Natural
- yes
- Even
- yes
- Odd
- 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
Names
- German
- zweiundachtzig· ordinal: zweiundachtzigste
- English
- eighty-two· ordinal: eighty-second
- Spanish
- ochenta y dos· ordinal: 82º
- French
- quatre-vingt-deux· ordinal: quatre-vingt-deuxième
- Italian
- ottantadue· ordinal: 82º
- Latin
- octoginta duo· ordinal: 82.
- Portuguese
- oitenta e dois· ordinal: 82º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=28A000008
- Numbers that are not squares (or, the nonsquares).at n=72A000037
- 1-digit numbers arranged in alphabetical order, then the 2-digit numbers arranged in alphabetical order, then the 3-digit numbers, etc.at n=20A000052
- Numbers k such that (2k)^4 + 1 is prime.at n=24A000059
- Generalized tangent numbers d(n,1).at n=37A000061
- A Beatty sequence: a(n) = floor(n/(e-2)).at n=58A000062
- Numbers k such that k^4 + 1 is prime.at n=15A000068
- Odious numbers: numbers with an odd number of 1's in their binary expansion.at n=41A000069
- Number of integers <= 2^n of form 4 x^2 + 4 x y + 5 y^2.at n=9A000076
- a(n) = floor(n^(3/2)).at n=19A000093
- Lower Wythoff sequence (a Beatty sequence): a(n) = floor(n*phi), where phi = (1+sqrt(5))/2 = A001622.at n=50A000201
- a(8i+j) = 13i + a(j), where 1<=j<=8.at n=50A000202
- Number of positive integers <= 2^n of form x^2 + 3 y^2.at n=8A000205
- Number of inequivalent ways of dissecting a regular (n+2)-gon into n triangles by n-1 non-intersecting diagonals under rotations and reflections; also the number of (unlabeled) maximal outerplanar graphs on n+2 vertices.at n=7A000207
- A Beatty sequence: floor(n*(e-1)).at n=47A000210
- Number of hexagonal polyominoes (or hexagonal polyforms, or planar polyhexes) with n cells.at n=5A000228
- 3*n - 2*floor(sqrt(4*n+5)) + 5.at n=33A000277
- Sums of three squares: numbers of the form x^2 + y^2 + z^2.at n=70A000378
- Numbers where total number of 1-bits in the exponents of their prime factorization is even; a 2-way classification of integers: complement of A000028.at n=42A000379
- Numbers that are the sum of 2 nonzero squares.at n=28A000404