Properties of the Number 1253

One Thousand Two Hundred Fifty-Three

Basics

Value: 1252 → 1253 → 1254

Parity: odd

Prime: No

Previous Prime: 1249

Next Prime: 1259

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 7 × 179

Divisors: 1, 7, 179, 1253

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100101

Octal: 2345

Duodecimal: 885

Hexadecimal: 4e5

Square: 1570009

Square Root: 35.397740040855716

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 relatively prime parts such that multiplicities of parts are also relatively prime. A100953

Coordination sequence for "hal" 3D uniform tiling. A299274

Number of integer partitions of n not containing their mean. A327472

a(n) = a(n-1) + a(floor(n/2)), a(1) = 1. A33485

Number of integer partitions of n whose mean is not an integer. A349156

Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (4,n)-rectangular grid with k '1's and (4n-k) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A225812

Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (5,n)-rectangular grid with k '1's and (5n-k) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A228022

First differences of A033485; also A033485 with terms repeated. A40039

Number of partitions of n minus number of divisors of n. A144300

Number of length n inversion sequences avoiding the patterns 102, 201, and 210. A279563