Properties of the Number 1305

One Thousand Three Hundred Five

Basics

Value: 1304 → 1305 → 1306

Parity: odd

Prime: No

Previous Prime: 1303

Next Prime: 1307

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 29

Divisors: 1, 3, 5, 9, 15, 29, 45, 87, 145, 261

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10100011001

Octal: 2431

Duodecimal: 909

Hexadecimal: 519

Square: 1703025

Square Root: 36.124783736376884

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

Triangular matchstick numbers: a(n) = 3·n*(n+1)/2. A45943

E.g.f.: 1/(1-x·exp(x)). A6153

Number of strict integer partitions of n with integer median. A359907

Number of partitions of n with distinct parts p(i) such that if i ≠ j, then |p(i) - p(j)| >= 3. A25157

Generalized 13-gonal numbers: m*(11·m-9)/2 with m = 0, 1, -1, 2, -2, 3, -3, ... A195313

Numbers that are the sum of 10 positive 6th powers. A3366

Expansion of g.f. (1 + x + 2·x²)/((1 - x)²*(1 - x³)). A969

3 times hexagonal numbers: a(n) = 3·n*(2·n-1). A94159

Number of parts > 1 in the last section of the set of partitions of n. A138135

a(n) = n*(n + 16). A98849