Properties of the Number 47441

Forty-Seven Thousand Four Hundred Forty-One

Basics

Value: 47440 → 47441 → 47442

Parity: odd

Prime: Yes

Previous Prime: 47431

Next Prime: 47459

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 47441

Divisors: 1, 47441

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100101010001

Octal: 134521

Duodecimal: 23555

Hexadecimal: b951

Square: 2250648481

Square Root: 217.8095498365487

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

Let A(n) = #{(i,j): i² + j² <= n}, V(n) = π*n, P(n) = A(n) - V(n); A000099 gives values of n where |P(n)| sets a new record; sequence gives A(A000099(n)). A323

First member of the least set of 3 consecutive primes such that the sum of each pair of consecutive primes in this set is a multiple of n. A382698

Numerators of continued fraction convergents to sqrt(214). A41398

Primes of the form 16k+1 generated recursively. Initial prime is 17. General term is a(n)=Min {p is prime; p divides (2Q)⁸ + 1}, where Q is the product of previous terms in the sequence. A125040

Primes of the form 8n² + 9. A201705

Primes obtained by merging 5 successive digits in the decimal expansion of sqrt(2) + sqrt(3) + sqrt(5). A241221

Number of primes between pairs of consecutive highly composite numbers (A002182). A333725

Primes of the form 48k+17 generated recursively. Initial prime is 17. General term is a(n)=Min {p is prime; p divides (2Q)⁸ + 1; Mod[p,48]=17}, where Q is the product of previous terms in the sequence. A125042

Primes p such that p⁴ + p + 1 and p⁴ - p - 1 are also prime. A236073

Numbers that are congruent to {0, 2, 5, 6} mod 8. A47441