Properties of the Number 1403

One Thousand Four Hundred Three

Basics

Value: 1402 → 1403 → 1404

Parity: odd

Prime: No

Previous Prime: 1399

Next Prime: 1409

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 23 × 61

Divisors: 1, 23, 61, 1403

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10101111011

Octal: 2573

Duodecimal: 98B

Hexadecimal: 57b

Square: 1968409

Square Root: 37.456641600656084

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

Number of partitions of n into at most 1 copy of 1, 2 copies of 2, 3 copies of 3, ... . A52335

Number of integer partitions of n whose product is a perfect power. A320322

a(n) = 2·n² + 2·n - 1. A142463

Number of partitions p of n such that (maximal multiplicity over the parts of p) = number of 1s in p. A241131

a(n) = n² + 3·n - 1. A14209

Number of integer compositions of n whose leaders of weakly decreasing runs are identical. A374742

a(n) = floor(n²/2) - 1. A47838

Growth series for affine Coxeter group B₄. A267167

Numbers whose base-2 and base-10 expansions have the same digit sum. A37308

Array read by antidiagonals: T(n,k) is the number of inequivalent nonnegative integer n X n matrices with sum of elements equal to k, under row and column permutations. A318795