Properties of the Number 10706

Ten Thousand Seven Hundred Six

Basics

Value: 10705 → 10706 → 10707

Parity: even

Prime: No

Previous Prime: 10691

Next Prime: 10709

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 53 × 101

Divisors: 1, 2, 53, 101, 106, 202, 5353, 10706

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111010010

Octal: 24722

Duodecimal: 6242

Hexadecimal: 29d2

Square: 114618436

Square Root: 103.46980235798269

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 (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253524

Numbers that are the sum of six fourth powers in four or more ways. A345561

Numbers that are the sum of six fourth powers in exactly four ways. A345816

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A299052

G.f. satisfies: A(x/A(x)) = 1 + x·A(x). A145345

L.g.f.: ∑_n>=1 x^(2·n-1²) / ( (2·n-1) * (1 - x^2·n)^2·n-1 ). A293598

Number of partitions p of n such that (number of numbers in p of form 3k) > (number of numbers in p of form 3k+1). A241745

Triples (a,b,c) such that (a+b+c)³ = concat(a,b,c), a, b, c > 0, ordered by size of this value. A328199

Numbers of the form prime(w)*prime(x)*prime(y) with w >= x >= y such that 2w = 3x + 4y. A358102

a(n) = (9·n+2)*(9·n+7). A177072