Properties of the Number 10697

Ten Thousand Six Hundred Ninety-Seven

Basics

Value: 10696 → 10697 → 10698

Parity: odd

Prime: No

Previous Prime: 10691

Next Prime: 10709

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 19 × 563

Divisors: 1, 19, 563, 10697

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10100111001001

Octal: 24711

Duodecimal: 6235

Hexadecimal: 29c9

Square: 114425809

Square Root: 103.42630226397925

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

Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n. A63048

Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k. A88753

a(n) = 2·n³ - 3·n² + 5. A152064

Denominators of continued fraction convergents to sqrt(463). A41883

Sequence A001033 gives the numbers n such that the sum of the squares of n consecutive odd numbers x² + (x+2)² + ... +(x+2n-2)² = k² for some integer k. For each n, this sequence gives the least value of k. A56132

Half the number of n X 3 binary arrays with no element equal to a strict majority of its horizontal and vertical neighbors. A183304

Numbers k such that there is a smaller number m > 1 such that k·m equals the concatenation of digit-wise multiplication, keeping the leading digits of k when m has fewer digits. A392568

Numerators of continued fraction convergents to sqrt(776). A42496

Numbers k such that the sum of the first k lesser of twin primes is a lesser of twin prime. A376891

Numbers k such that the continued fraction for sqrt(k) has period 80. A20419