Properties of the Number 81017

Eighty-One Thousand Seventeen

Basics

Value: 81016 → 81017 → 81018

Parity: odd

Prime: Yes

Previous Prime: 81013

Next Prime: 81019

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 81017

Divisors: 1, 81017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011110001111001

Octal: 236171

Duodecimal: 3AA75

Hexadecimal: 13c79

Square: 6563754289

Square Root: 284.63485380395707

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 1+2·n+3·n². A122430

Primes p such that p+2, (p²-1)/2+p and (p²+3)/2+3·p are also prime. A352948

Lowest prime p in a ladder of 4 consecutive primes p, p+2, p+6, p+14. A372247

Primes of the form x² + 29*(x+1)². A176695

Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101. A259994

Binary palindromic numbers whose digit sum and aliquot sum are also binary palindromic. A363965

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 29. A31617

Primes that yield a prime when any single digit is replaced by its 10's complement. A345529

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101. A260001

a(n) = Lucas(4n+1) - 1, or 5·Fibonacci(2n)*Fibonacci(2n+1). A81017