Properties of the Number 80768

Eighty Thousand Seven Hundred Sixty-Eight

Basics

Value: 80767 → 80768 → 80769

Parity: even

Prime: No

Previous Prime: 80761

Next Prime: 80777

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁷ × 631

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 631, 1262

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101110000000

Octal: 235600

Duodecimal: 3A8A8

Hexadecimal: 13b80

Square: 6523469824

Square Root: 284.19711469330576

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

E.g.f. satisfies: A(x) = 1/(1 - sin(x·A(x))). A201627

arctanh(arctan(arctanh(x)))=x+2/3!*x³+32/5!*x⁵+1168/7!*x⁷+80768/9!*x⁹... A12237

Number of 5-tuples of different integers from [ 1,n ] with no common factors among triples. A15646

E.g.f. satisfies A(x) = exp(x·A(x)) * cosh(x·A(x)). A201595

E.g.f. satisfies: A(x) = x/(1 - sin(A(x))). A214222

A unitary φ reciprocal amicable number: consider two different numbers r, s which satisfy the following equation for some integer k: uphi(r) = uphi(s) = (1/k) * r·s / (r-s); or equivalently, 1/uphi(r) = 1/uphi(s) = k * (1/s - 1/r); sequence gives k numbers. A80768