Properties of the Number 76729

Seventy-Six Thousand Seven Hundred Twenty-Nine

Basics

Value: 76728 → 76729 → 76730

Parity: odd

Prime: No

Previous Prime: 76717

Next Prime: 76733

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 277 ²

Divisors: 1, 277, 76729

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010101110111001

Octal: 225671

Duodecimal: 384A1

Hexadecimal: 12bb9

Square: 5887339441

Square Root: 277

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

Squares in which parity of digits alternates. A30152

Number of 2 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 1 vertically. A207170

Determinant of n X n matrix defined by m(i,j)=1 if i+j is a prime, m(i,j)=0 otherwise. A69191

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,0 0,2 1,0 or -1,-2. A264364

a(n) = (12·n + 1)². A17534

Square of primes of the form 4k+1 (A002144). A80109

Squares with initial digit '7'. A45791

The smallest composite number which divides the concatenation of its ascending ordered prime factors, with repetition, when written in base n. A371641

Composite numbers k such that the sum of the divisors of k² is a prime. A65405

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum. A258612