Properties of the Number 10703

Ten Thousand Seven Hundred Three

Basics

Value: 10702 → 10703 → 10704

Parity: odd

Prime: No

Previous Prime: 10691

Next Prime: 10709

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 7 × 11 × 139

Divisors: 1, 7, 11, 77, 139, 973, 1529, 10703

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111001111

Octal: 24717

Duodecimal: 623B

Hexadecimal: 29cf

Square: 114554209

Square Root: 103.4553043589356

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

Starts of runs of 3 consecutive positive negaFibonacci-Niven numbers (A331085). A331087

This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,7). The p-th row (p>=1) contains a(i,p) for i=1 to 7·p-6, where a(i,p) satisfies ∑_i=1..n C(i+6,7)^p = 8·C(n+7,8) * ∑_i=1..7·p-6 a(i,p) * C(n-1,i-1)/(i+7). A87111

Numbers k with the property that it is possible to write the base 2 expansion of k as concat(a₂,b₂), with a₂>0 and b₂>0 such that, converting a₂ and b₂ to base 10 as a and b, we have σ(a + b) = σ(k). A258843

Number of parts in all twice partitions of n where both partitions are strict. A327605

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1 or 4 king-move neighboring 1s. A296019

Numbers n such that n and the n-th prime have the same digits. A74350

Number of different aperiodic multisets that fit within some normal multiset of size n. A303976

Expansion of g.f. A(x) satisfying 1 = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (A(x) + x^3·n-1)ⁿ⁺¹. A363143

a(n) = (n³ + 5·n + 18)/6. A60163

a(n) = 343·n - 273. A157369