Properties of the Number 10777

Ten Thousand Seven Hundred Seventy-Seven

Basics

Value: 10776 → 10777 → 10778

Parity: odd

Prime: No

Previous Prime: 10771

Next Prime: 10781

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 13 × 829

Divisors: 1, 13, 829, 10777

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101000011001

Octal: 25031

Duodecimal: 62A1

Hexadecimal: 2a19

Square: 116143729

Square Root: 103.81233067415451

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

a(0) = 0. For n > 0, smallest non-palindromic number k such that the smallest palindrome in the Reverse and Add! trajectory of k is reached after exactly n iterations. A23109

The array in A059216 read by antidiagonals in 'up' direction. A59217

T(n,k)=Number of nXk 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally. A201836

Number of partitions of n such that (greatest part) - (least part) <= number of parts. A237831

Consecutive states of the linear congruential pseudo-random number generator (967·s + 3041) mod 14406 when started at s=1. A385078

Composite numbers and 1 which yield a prime whenever a 7 is inserted anywhere in them, including at the beginning or end. A216168

Numbers having three 7's in base 10. A43519

Numbers k such that x^k + x⁷ + 1 is irreducible over GF(2). A57477

Composite numbers k such that A378056(k) = gcd(lcm{d+1 : d∣k}, lcm{d-1 : d > 1 and d∣k}) = 2. A378057

Pseudoprimes to base 77. A20205