Properties of the Number 42613

Forty-Two Thousand Six Hundred Thirteen

Basics

Value: 42612 → 42613 → 42614

Parity: odd

Prime: No

Previous Prime: 42611

Next Prime: 42641

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 43 × 991

Divisors: 1, 43, 991, 42613

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011001110101

Octal: 123165

Duodecimal: 207B1

Hexadecimal: a675

Square: 1815867769

Square Root: 206.42916460616703

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

Number of primes <= the n-th Fibonacci number. A54782

T(n,k)=Number of (n+4)X(k+4) binary arrays with every 1 having exactly three king-move neighbors equal to 1 but with no 2X2 blocks of 1s. A183465

Indices k such that the k-th prime is a Fibonacci number. A99000

Indices of primes that are the sum of two Fibonacci numbers. A178971

Array (p(n,k)) read by antidiagonals: p(n,k) is the index of the prime in position (n,k) in the array A333086. A333087

Number of (n+4) X 9 binary arrays with every 1 having exactly three king-move neighbors equal to 1 but with no 2 X 2 blocks of 1's. A183462

Number of (n+4)X10 binary arrays with every 1 having exactly three king-move neighbors equal to 1 but with no 2X2 blocks of 1s. A183463

The π-based arithmetic derivative of the n-th Fibonacci number. A259416

Smallest index k such that the k-th prime number in base-2 contains the n-th Fibonacci number in base-2 as a contiguous substring. A377270

Numbers n such that x²+y²+prime(n)²=3·x*y·prime(n). A173957