Properties of the Number 47431

Forty-Seven Thousand Four Hundred Thirty-One

Basics

Value: 47430 → 47431 → 47432

Parity: odd

Prime: Yes

Previous Prime: 47419

Next Prime: 47441

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 47431

Divisors: 1, 47431

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100101000111

Octal: 134507

Duodecimal: 23547

Hexadecimal: b947

Square: 2249699761

Square Root: 217.7865927921184

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

Primes of the form 43·n² - 537·n + 2971 in order of increasing nonnegative values of n. A272285

Primes of the form 8·k² - 1. A90684

Sum of the legs of the unique primitive Pythagorean triple whose inradius is A000217(n) and such that its long leg and its hypotenuse are consecutive natural numbers. A383834

Primes that remain prime through 3 iterations of function f(x) = 6x + 1. A23287

Expansion of g/(1 - x²*g), where g = 1+x·g³ is the g.f. of A001764. A391058

Primes with 12 as smallest positive primitive root. A61325

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202871; by antidiagonals. A202872

Primes p = 1 mod 6 such that all three iterations p=(6p+1) give primes = 1 mod 6. A210686

a(n) = n·A340339(n)+b, where b = 1 if n is even or 2 if n is odd. A340340

Primes p whose smallest positive primitive root (mod p) is not squarefree. A205581