Properties of the Number 77100

Seventy-Seven Thousand One Hundred

Basics

Value: 77099 → 77100 → 77101

Parity: even

Prime: No

Previous Prime: 77093

Next Prime: 77101

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 ² × 257

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010110100101100

Octal: 226454

Duodecimal: 38750

Hexadecimal: 12d2c

Square: 5944410000

Square Root: 277.6688675382964

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

Number of polygon edges formed by infinite lines when connecting all vertices and all points that divide the sides of an equilateral triangle into n equal parts. A344896

Number of length-n Catalan-RGS (restricted growth strings) such that the RGS is a valid mixed-radix number in falling factorial basis. A206464

Number n such that a2 - n³ is a triangular number (A000217), where a2 is the least square above n³. A233400

a(n) = lcm(A051612(n), A065387(n)), where A051612(n) = σ(n) - φ(n) and A065387(n) = σ(n) + φ(n). A77100

Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253834