Properties of the Number 2782

Two Thousand Seven Hundred Eighty-Two

Basics

Value: 2781 → 2782 → 2783

Parity: even

Prime: No

Previous Prime: 2777

Next Prime: 2789

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 13 × 107

Divisors: 1, 2, 13, 26, 107, 214, 1391, 2782

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011011110

Octal: 5336

Duodecimal: 173A

Hexadecimal: ade

Square: 7739524

Square Root: 52.744667976962376

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

Second 10-gonal (or decagonal) numbers: n*(4·n+3). A33954

Numbers n such that (prime(n)# + 4)/2 is a prime, where x# is the primorial A034386(x). A67027

a(n) is the solution to the postage stamp problem with 4 denominations and n stamps. A1209

Number of integer partitions of n whose sum of primes of parts is divisible by n. A331379

Positions of 14 after decimal point in decimal expansion of π. A134214

T(n,k) = number of n-bead necklaces labeled with numbers -k..k allowing reversal, with sum zero and three times sum of squares <= n·k*(k+1). A208805

T(n,k)=Number of ways to move elements of an nXnXn triangular array to themselves or a neighbor, with no 2-cycles and with no more than k-1 elements moved to themselves. A271852

Numbers k such that there are precisely 4 groups of orders k and k + 1. A295990

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 1 or 3 neighboring 1s. A296578

Integers that need 7 iterations of the map x->A352172(x) to reach 1. A352265