Properties of the Number 1288

One Thousand Two Hundred Eighty-Eight

Basics

Value: 1287 → 1288 → 1289

Parity: even

Prime: No

Previous Prime: 1283

Next Prime: 1289

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 7 × 23

Divisors: 1, 2, 4, 7, 8, 14, 23, 28, 46, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

Today's Target

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Representations

Binary: 10100001000

Octal: 2410

Duodecimal: 8B4

Hexadecimal: 508

Square: 1658944

Square Root: 35.888716889852724

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

Generalized heptagonal numbers: m*(5·m - 3)/2, m = 0, +-1, +-2 +-3, ... A85787

Number of partitions of n with nonnegative crank. A64428

Numbers whose sum of digits is 19. A166459

Triangular array that counts rooted polyominoes. A38622

Integers of the form m*(m + 6)/7. A274978

Irregular triangle read by rows where T(n,k) is the number of integer partitions of n with k fixed points, k = 0, 1. A352833

Numbers k such that (1) the k-th composition in standard order contains no 1's, and (2) there is no composition whose first sums are the k-th composition in standard order. A390678

Signed double Pochhammer triangle: expansion of x(x-2)(x-4)..(x-2n+2). A39683

a(n) = (n+1)*(n²+n+2)/2; g.f.: (1 + 2·x²) / (1 - x)⁴. A6000