Properties of the Number 1782

One Thousand Seven Hundred Eighty-Two

Basics

Value: 1781 → 1782 → 1783

Parity: even

Prime: No

Previous Prime: 1777

Next Prime: 1783

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 11

Divisors: 1, 2, 3, 6, 9, 11, 18, 22, 27, 33

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 11011110110

Octal: 3366

Duodecimal: 1046

Hexadecimal: 6f6

Square: 3175524

Square Root: 42.21374183841087

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

a(n) = 2·a(n-1) + a(n-2) - a(n-3) for n >= 3, starting with a(0) = 1, a(1) = 3, and a(2) = 6. A6356

Numbers that are the sum of 11 positive 6th powers. A3367

Expansion of (1-x)/(1-2·x-x²+x³). A77998

Generalized 25-gonal (or icosipentagonal) numbers: m*(23·m - 21)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303304

a(n) = 3·n*(n + 3)/2. A140091

Table read by ascending antidiagonals: T(n, m) giving total degree of n-th-order elementary symmetric polynomials in m variables. A50446

Triangle read by rows where T(n,k) is the number of labeled simple graphs with n vertices and spanning edge-connectivity k. A327069

Table T(n,m) giving total degree of n-th-order elementary symmetric polynomials in m variables, -1 <= n, 1 <= m, transposed and read by upward antidiagonals. A50447

a(n) = binomial(n+7, 7)*(n+4)/4. A53347