Properties of the Number 10329

Ten Thousand Three Hundred Twenty-Nine

Basics

Value: 10328 → 10329 → 10330

Parity: odd

Prime: No

Previous Prime: 10321

Next Prime: 10331

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 313

Divisors: 1, 3, 11, 33, 313, 939, 3443, 10329

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001011001

Octal: 24131

Duodecimal: 5B89

Hexadecimal: 2859

Square: 106688241

Square Root: 101.63168797181321

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 k such that p(k), p(k)+6, p(k)+12, p(k)+18 are consecutive primes, where p(k) denotes k-th prime. A90832

T(n,k) = Number of n X k 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors. A283691

Number of integer compositions of n with all run-lengths > 2. A353400

Number of non-subset-sums of strict integer partitions of n. A365922

Numbers n such that p(n),p(n)+6,p(n)+12,p(n)+18 are consecutive primes and p(n)=6·k+1 for some k, where p(n) denotes n-th prime. A90838

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors. A283130

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1, 2 or 4 1s. A295716

a(n) = coefficient of xⁿ in A(x) such that 3 = ∑_n=-oo..+oo (-x)ⁿ * (3·A(x) + x^n-1)ⁿ⁺¹. A359713

Number of disconnected 3-regular simple graphs on 2n vertices with girth exactly 4. A185034

a(n) = ∑_{x₁∣n, x₂∣n, x₃∣n, x₄∣n, x₅∣n} gcd(x₁,x₂,x₃,x₄,x₅). A344139