Properties of the Number 77057

Seventy-Seven Thousand Fifty-Seven

Basics

Value: 77056 → 77057 → 77058

Parity: odd

Prime: No

Previous Prime: 77047

Next Prime: 77069

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 251 × 307

Divisors: 1, 251, 307, 77057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110100000001

Octal: 226401

Duodecimal: 38715

Hexadecimal: 12d01

Square: 5937781249

Square Root: 277.5914263805711

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

Numbers k such that k and k+2 have the same number (A000005) and sum of divisors (A000203). A229254

Numbers k such that k² + 1 is divisible by a 6th power. A218565

Solutions to φ(x + ω(x)) = φ(x) + d(x), where φ() = A000010(), d() = A000005() and ω() = A001221(). A63868

Numbers k such that A065608(k) = A065608(k+2). A65064

Numbers k such that the sum of the numbers from 1 to k and that from 1 to k+1 share the same sum of divisors. A375819

Numbers k such that s(k) = s(k+2), where s(k) is the sum of odd divisors of k (A000593). A387920

Minimal positive solution a(n) of Diophantine equation a(n)² - a(n)*b(n) - G(n)*b(n)² = +1 or -1 with G(n) := A078358(n). The companion sequence is b(n)=A077058(n). A77057

G.f. satisfies: A(x) = (1 - 3·x*A(x)²) * sqrt(4·A(x)² - 3). A231617