Properties of the Number 1951

One Thousand Nine Hundred Fifty-One

Basics

Value: 1950 → 1951 → 1952

Parity: odd

Prime: Yes

Previous Prime: 1949

Next Prime: 1973

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 1951

Divisors: 1, 1951

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110011111

Octal: 3637

Duodecimal: 1167

Hexadecimal: 79f

Square: 3806401

Square Root: 44.170125650715555

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

Hex (or centered hexagonal) numbers: 3·n*(n+1)+1 (crystal ball sequence for hexagonal lattice). A3215

Number of partitions of n into relatively prime parts. Also aperiodic partitions. A837

a(n) is the smallest m > 1 such that m divides ∑_k=1..m prime(k)ⁿ. A85450

Number of n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951). A1522

Primes of the form 2·k² + 29. A7641

Primes of the form x²+Ny², with N=102. A139643

"Three-quarter squares": a(n) = n² - A002620(n). A77043

Cuban primes: primes which are the difference of two consecutive cubes. A2407

Goodstein sequence starting with 4: to calculate a(n+1), write a(n) in the hereditary representation in base n+2, then bump the base to n+3, then subtract 1. A56193

Primes of the form 16n+15. A127576