Properties of the Number 1953

One Thousand Nine Hundred Fifty-Three

Basics

Value: 1952 → 1953 → 1954

Parity: odd

Prime: No

Previous Prime: 1951

Next Prime: 1973

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 31

Divisors: 1, 3, 7, 9, 21, 31, 63, 93, 217, 279

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11110100001

Octal: 3641

Duodecimal: 1169

Hexadecimal: 7a1

Square: 3814209

Square Root: 44.19275958796871

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

Second hexagonal numbers: a(n) = n*(2·n + 1). A14105

a(n) = ∑_d∣n (-1)^d-1*d². A321543

Number of partitions of n into prime power parts (1 included); number of nonisomorphic Abelian subgroups of symmetric group S_n. A23893

The non-repetitive Kaprekar binary numbers in decimal. A163205

3 times pentagonal numbers: 3·n*(3·n-1)/2. A62741

Number of length n inversion sequences avoiding the patterns 110, 120, and 210. A279569

Numbers m such that there are precisely 11 groups of order m. A249554

Number of holes in a sheet of paper when you fold it n times and cut off the four corners. A274230

Numbers k such that k⁴ can be written as a sum of four positive 4th powers. A3294

Expansion of g.f.: x⁴/((1-x)*(1-x²)²*(1-x³)). A8763