Properties of the Number 8077

Eight Thousand Seventy-Seven

Basics

Value: 8076 → 8077 → 8078

Parity: odd

Prime: No

Previous Prime: 8069

Next Prime: 8081

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 41 × 197

Divisors: 1, 41, 197, 8077

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110001101

Octal: 17615

Duodecimal: 4811

Hexadecimal: 1f8d

Square: 65237929

Square Root: 89.87213138676528

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

a(1) = 10; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A111524

a(n) = coefficient of xⁿ in A(x) such that 1/x = ∑_n=-oo..+oo x^n*(3·n+1/2) * (A(x)^3·n - 1/A(x)^3·n+1). A359921

4th power analog of Keith numbers. A281915

Least nontrivial multiple of the n-th prime beginning with 8. A78292

Number of partitions of n in which each even part has odd multiplicity. A130126

Sum of all squarefree semiprimes with greater prime factor prime(n). A339194

The number of seconds after midnight corresponding to prime time primes, i.e., primes of the form HMMSS with primes H < 24 and MM, SS < 60, cf. A295013. A295003

Numbers k such that k² and k³ have the same set of digits. A29797

Numbers n such that Catalan(n)+1 is prime. A53429

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 531", based on the 5-celled von Neumann neighborhood. A288975