Properties of the Number 2971

Two Thousand Nine Hundred Seventy-One

Basics

Value: 2970 → 2971 → 2972

Parity: odd

Prime: Yes

Previous Prime: 2969

Next Prime: 2999

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2971

Divisors: 1, 2971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110011011

Octal: 5633

Duodecimal: 1877

Hexadecimal: b9b

Square: 8826841

Square Root: 54.506880299646575

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

Centered triangular numbers: a(n) = 3·n*(n-1)/2 + 1. A5448

Indices of prime Fibonacci numbers. A1605

a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists. A230

Primes of the form 1 + n + n² + n³ + ... + n^k, n > 1, k > 1. A85104

Primes of form k² + k + 1. A2383

a(n) = 4·n² - 6·n + 3. A54569

Primes with 10 as smallest positive primitive root. A61323

Number of integer partitions of n whose first differences (assuming the last part is zero) are unimodal. A332283

Greatest prime factor of n³ + 1. A81256

Primes of the form 22k+1 generated recursively. Initial prime is 23. General term is a(n) = Min {p is prime; p divides (R¹¹ - 1)/(R - 1); p == 1 (mod 11)}, where Q is the product of previous terms in the sequence and R = 11·Q. A124993