Properties of the Number 70722

Seventy Thousand Seven Hundred Twenty-Two

Basics

Value: 70721 → 70722 → 70723

Parity: even

Prime: No

Previous Prime: 70717

Next Prime: 70729

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 3929

Divisors: 1, 2, 3, 6, 9, 18, 3929, 7858, 11787, 23574

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10001010001000010

Octal: 212102

Duodecimal: 34B16

Hexadecimal: 11442

Square: 5001601284

Square Root: 265.93608254616373

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 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements. A282969

Solutions·to the negative Pell equation y² = 72·x² - 83232 with x,y >= 0. A281239

G.f. satisfies: A(x) = Series_Reversion( x - 3·A(x)*B(x)² ), where B'(x) = 2·A(x). A259268

Numbers k such that σ(φ(k)) - φ(k) = φ(σ(k)), where φ(k) is the Euler totient function of k and σ(k) is the sum of the divisors of k. A271633

Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements. A282964

Number of nX7 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements. A282968

Number of twin Pythagorean triples with hypotenuse less than 10ⁿ. A101903

G.f. A(x) satisfies: A'(x)/2 = Series_Reversion( x - 3·A(x)² * A'(x)/2 ). A259269

a(n) = n⁷ mod 41. A70722