Properties of the Number 1958

One Thousand Nine Hundred Fifty-Eight

Basics

Value: 1957 → 1958 → 1959

Parity: even

Prime: No

Previous Prime: 1951

Next Prime: 1973

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 11 × 89

Divisors: 1, 2, 11, 22, 89, 178, 979, 1958

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110100110

Octal: 3646

Duodecimal: 1172

Hexadecimal: 7a6

Square: 3833764

Square Root: 44.24929377967517

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

a(n) is the number of partitions of n (the partition numbers). A41

Number of partitions of n into even parts. A35363

a(n) = n*(4·n+1). A7742

Number of ways to partition 2n+1 into positive integers. A58695

Number of partitions of floor(3n/2) into n parts each from {1,2,...,n}. A119620

Expansion of g.f. x*(1 + 3·x)/((1 + x)*(1 - x)³). A35608

Number of integer partitions of n whose differences (with the last part taken to be 0) are distinct. A325324

Even triangular numbers halved. A74378

Number of partitions of n with at least one odd part. A86543

Sum of all partitions of n into distinct parts. A66189