782
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1296
- Proper Divisor Sum (Aliquot Sum)
- 514
- 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
- 352
- Möbius Function
- -1
- Radical
- 782
- 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
- yes
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 121
- 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
- siebenhundertzweiundachtzig· ordinal: siebenhundertzweiundachtzigste
- English
- seven hundred eighty-two· ordinal: seven hundred eighty-second
- Spanish
- setecientos ochenta y dos· ordinal: 782º
- French
- sept cent quatre-vingt-deux· ordinal: sept cent quatre-vingt-deuxième
- Italian
- settecentoottantadue· ordinal: 782º
- Latin
- septingenti octoginta duo· ordinal: 782.
- Portuguese
- setecentos e oitenta e dois· ordinal: 782º
Appears in sequences
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=23A000326
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=31A000603
- One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes.at n=24A000701
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=33A000969
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=45A001318
- The coding-theoretic function A(n,4,3).at n=68A001839
- Numbers k such that 9*2^k + 1 is prime.at n=21A002256
- Number of solutions to a linear inequality.at n=25A002797
- Number of ways to quarter a 2n X 2n chessboard.at n=4A003213
- Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).at n=23A003219
- Numbers k such that 2*3^k + 1 is prime.at n=18A003306
- Degrees of irreducible representations of Fischer group Fi23.at n=1A003914
- Pentagonal numbers written backwards.at n=14A004163
- Hoggatt sequence with parameter d=7.at n=4A005365
- 1 + (sum of first n odd primes - n)/2.at n=29A005521
- Number of chiral trees with n nodes.at n=11A005630
- Numbers k such that k^8 + 1 is prime.at n=29A006314
- Numbers whose sum of divisors is a square.at n=35A006532
- Number of factors in the infinite word formed by the Kolakoski sequence A000002.at n=32A007782
- Coordination sequence T2 for Zeolite Code GOO.at n=19A008112