Properties of the Number 1431

One Thousand Four Hundred Thirty-One

Basics

Value: 1430 → 1431 → 1432

Parity: odd

Prime: No

Previous Prime: 1429

Next Prime: 1433

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 53

Divisors: 1, 3, 9, 27, 53, 159, 477, 1431

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110010111

Octal: 2627

Duodecimal: 9B3

Hexadecimal: 597

Square: 2047761

Square Root: 37.82856063875548

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

Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n. A217

Hexagonal numbers: a(n) = n*(2·n-1). A384

Tribonacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) with a(0)=0, a(1)=1, a(2)=0. A1590

G.f.: ∏_k>=1 (1 + x^{2·k - 1}) / (1 - x^2·k). A6950

Triangular numbers (A000217) with prime indices. A34953

Least k such that there are exactly n ways to choose a sequence of divisors, one of each element of the multiset of prime indices of k (with multiplicity). A355732

Number of partitions of n that sorted in increasing order do not contain a part k in position k. A238394

Second spoke of a hexagonal spiral. A56106

Expansion of (1-x)/(1+x-x²+x³). A78042

a(n) = n·ceiling(n/2). A93005