Properties of the Number 1306

One Thousand Three Hundred Six

Basics

Value: 1305 → 1306 → 1307

Parity: even

Prime: No

Previous Prime: 1303

Next Prime: 1307

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 653

Divisors: 1, 2, 653, 1306

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100011010

Octal: 2432

Duodecimal: 90A

Hexadecimal: 51a

Square: 1705636

Square Root: 36.138621999185304

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

Centered triangular numbers: a(n) = 3·n*(n-1)/2 + 1. A5448

Number of down/up (initially descending) compositions of n. A25049

G.f.: ∏_k>=1 (1 + 2·x^k). A32302

Numbers n such that n³² + 1 is prime. A6315

Number of integer partitions of n with no adjacent parts having quotient >= 2. A342096

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

Expansion of 1/(1 - x - x² + x⁵ - x⁷). A204631

Array read by antidiagonals upwards: h(n,k) = number of sequences with n copies each of 1,2,...,k and longest increasing subsequence of length k (n>=1, k>=1). A47909

a(n) = floor(n*φ⁷), where φ is the golden ratio, A001622. A4922

Number of ways to choose a constant partition of each part of a constant partition of n. A279789