Properties of the Number 77706

Seventy-Seven Thousand Seven Hundred Six

Basics

Value: 77705 → 77706 → 77707

Parity: even

Prime: No

Previous Prime: 77699

Next Prime: 77711

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 1439

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 1439, 2878

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10010111110001010

Octal: 227612

Duodecimal: 38B76

Hexadecimal: 12f8a

Square: 6038222436

Square Root: 278.757959527616

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 binary arrays indicating whether each 2X2 subblock of a larger binary array has lexicographically increasing rows and columns, for some larger (n+1)X(k+1) binary array with rows and columns of the latter in lexicographically nondecreasing order. A227089

a(n+1) is the smallest number greater than a(n) such that ∑_j=1..n+1 1/a(j) <= 4, a(1) = 1. A281873

Convolution of Lucas numbers and primes. A23625

Number of nX4 binary arrays indicating whether each 2X2 subblock of a larger binary array has lexicographically increasing rows and columns, for some larger (n+1)X5 binary array with rows and columns of the latter in lexicographically nondecreasing order. A227087

a(1) = 7; a(n) is the smallest multiple of a(n-1) that contains all the digits of a(n-1) and is not a multiple of 10. A77706