Properties of the Number 97849

Ninety-Seven Thousand Eight Hundred Forty-Nine

Basics

Value: 97848 → 97849 → 97850

Parity: odd

Prime: Yes

Previous Prime: 97847

Next Prime: 97859

Digit Sum: 37

Digital Root: 1

Palindrome: No

Factorization: 97849

Divisors: 1, 97849

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111000111001

Octal: 277071

Duodecimal: 48761

Hexadecimal: 17e39

Square: 9574426801

Square Root: 312.80824797309936

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

Last term of prime quadruples. A90258

Number of length n+3 0..n arrays with no four elements in a row with pattern abab (with a≠b) and new values 0..n introduced in 0..n order. A243037

Number of length n+3 0..7 arrays with no four elements in a row with pattern abab (with a≠b) and new values 0..7 introduced in 0..7 order. A243043

Let p_n be the polynomial of degree n-1 that interpolates the first n primes (i.e., p_n(i) = prime(i) for 1 <= i <= n.) Then a(n) = p_n(n+1)/2. A121049

T(n,k)=Number of length n+3 0..k arrays with no four elements in a row with pattern abab (with a≠b) and new values 0..k introduced in 0..k order. A243044

Maximal entry in row n of A097847 (or equally A097848). A97849