Properties of the Number 22741

Twenty-Two Thousand Seven Hundred Forty-One

Basics

Value: 22740 → 22741 → 22742

Parity: odd

Prime: Yes

Previous Prime: 22739

Next Prime: 22751

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 22741

Divisors: 1, 22741

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100011010101

Octal: 54325

Duodecimal: 111B1

Hexadecimal: 58d5

Square: 517153081

Square Root: 150.8011936292283

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

Smallest prime equal to the sum of 2n+1 consecutive primes. A70934

Primes of form n² + 14641. A256839

Primes p such that A001175(p) = (p-1)/6. A308791

Primes p such that A001177(p) = (p-1)/6. A308799

Consider all ways of writing a number as p+2m² where p is 1 or a prime and m >= 0; sequence gives numbers that are expressible in at least 2 more ways than any smaller number. A16067

Smallest odd prime that is the sum of 2n+1 consecutive primes. A82244

Expansion of ∏_k>=1 1/(1 - k²*x^k)^k. A285674

E.g.f. satisfies A(x) = exp( x * ( exp(x) * A(x) )^3/2 ). A360544

Expansion of 1/(1-x²-x³-x⁴-x⁵). A13982

a(n) = (1/3!)*(n³ + 24·n² + 107·n + 90), compare A059604. A59605