Properties of the Number 1764

One Thousand Seven Hundred Sixty-Four

Basics

Value: 1763 → 1764 → 1765

Parity: even

Prime: No

Previous Prime: 1759

Next Prime: 1777

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 7 ²

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011100100

Octal: 3344

Duodecimal: 1030

Hexadecimal: 6e4

Square: 3111696

Square Root: 42

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

The squares: a(n) = n². A290

Perfect powers: m^k where m > 0 and k >= 2. A1597

Triangle of Narayana numbers T(n,k) = C(n-1,k-1)*C(n,k-1)/k with 1 <= k <= n, read by rows. Also called the Catalan triangle. A1263

Triangle read by rows of Stirling numbers of first kind, s(n,k), n >= 1, 1 <= k <= n. A8275

Triangle of Stirling numbers of first kind, s(n,k), n >= 0, 0 <= k <= n. A48994

Unsigned Stirling numbers of first kind, s(n+1,2): a(n+1) = (n+1)*a(n) + n!. A254

Powerful numbers (A001694) that are not prime powers (A000961). A286708

Even squares: a(n) = (2·n)². A16742

Triangle of unsigned Stirling numbers of the first kind (see A048994), read by rows, T(n,k) for 0 <= k <= n. A132393

Perfect powers of nonprimes (m^k where m is a nonprime positive integer and k >= 2). A131605