Properties of the Number 80497

Eighty Thousand Four Hundred Ninety-Seven

Basics

Value: 80496 → 80497 → 80498

Parity: odd

Prime: No

Previous Prime: 80491

Next Prime: 80513

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 101 × 797

Divisors: 1, 101, 797, 80497

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101001110001

Octal: 235161

Duodecimal: 3A701

Hexadecimal: 13a71

Square: 6479767009

Square Root: 283.7199323276389

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

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any northeast neighbor modulo n and the upper left element equal to 0. A267836

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its northeast neighbor modulo n and the upper left element equal to 0. A266655

Number of 3Xn arrays containing n copies of 0..3-1 with no element 1 greater than its northeast neighbor modulo 3 and the upper left element equal to 0. A266656

a(n) = (n-p₁)(n-p₂)...(n-p_k) where p_k is the k-th prime and is also the largest prime < n. A80497