Properties of the Number 1926

One Thousand Nine Hundred Twenty-Six

Basics

Value: 1925 → 1926 → 1927

Parity: even

Prime: No

Previous Prime: 1913

Next Prime: 1931

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 107

Divisors: 1, 2, 3, 6, 9, 18, 107, 214, 321, 642

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110000110

Octal: 3606

Duodecimal: 1146

Hexadecimal: 786

Square: 3709476

Square Root: 43.88621651498338

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

Pentagonal numbers: a(n) = n*(3·n-1)/2. A326

Fifth spoke of a hexagonal spiral. A56109

Schur's 1926 partition theorem: number of partitions of n into parts 6n+1 or 6n-1. A3105

a(n) = L(4·n+2)/3, where L=A000032 (the Lucas sequence). A49685

Pentagonal numbers with even index. A49452

Array T(k,n) read by antidiagonals. G.f.: x(1-x)/(1-kx+x²), k>1. A94954

|First digit - second digit + third digit - fourth digit ...| = 12. A60980

Numbers n such that n divides n-th Lucas number A000032(n). A16089

Numbers m such that there are precisely 10 groups of order m. A249553

Number of ways to split an integer partition of n into consecutive subsequences of equal length. A323433