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Properties of the Number 10677

Ten Thousand Six Hundred Seventy-Seven

Basics

Value: 10676 → 10677 → 10678

Parity: odd

Prime: No

Previous Prime: 10667

Next Prime: 10687

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 3559

Divisors: 1, 3, 3559, 10677

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 10100110110101

Octal: 24665

Duodecimal: 6219

Hexadecimal: 29b5

Square: 113998329

Square Root: 103.32956982393762

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
Indices of record high values in A033665, ignoring those numbers that are believed never to reach a palindrome. A65198
a(n) = n*(11·n2 - 5)/6. A4467
53 'Reverse and Add' steps are needed to reach a palindrome. A65320
T(n,k)=Number of nXk 0..7 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..7 introduced in row major order. A209527
T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280161
Numbers of the form 68+p2 (where p is a prime). A138691
Number of base 17 n-digit numbers with adjacent digits differing by one or less. A126371
Initial value·of a RATS trajectory x->A036839(x) ending in a cycle unreachable by any smaller initial value. A161590
Numbers that match polynomials over {0,1} that have a factor containing 3 as a coefficient; see Comments. A208181