Properties of the Number 10326

Ten Thousand Three Hundred Twenty-Six

Basics

Value: 10325 → 10326 → 10327

Parity: even

Prime: No

Previous Prime: 10321

Next Prime: 10331

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 1721

Divisors: 1, 2, 3, 6, 1721, 3442, 5163, 10326

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001010110

Octal: 24126

Duodecimal: 5B86

Hexadecimal: 2856

Square: 106626276

Square Root: 101.61692772368194

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

Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 - x*(exp(x) - 1)) ). A370988

The number of edges in a graph induced by a regular drawing of K_n,n. A290132

E.g.f. A(x) satisfies: A'(x) = A(x·A'(x)⁵) with A(0)=1. A232695

Fourth partial sums of fifth powers (A000584). A254644

Array read by antidiagonals: T(n,k) is the number of (planar) unlabeled asymmetric k-ary cacti having n polygons. A303913

Positive numbers k such that the centered cube number k³ + (k+1)³ is equal to the difference of two positive cubes and to A352755(n). A352756

Sum of the largest parts in the partitions of n into 6 squarefree parts. A308911

a(n) = 2*(a(n-1) + a(n-2) + a(n-3)) - a(n-4) for n >= 4, with initial terms 0,0,0,1. A192237

a(n) = 5·2ⁿ⁺² + 2²ⁿ⁺² + 10·3ⁿ + 5ⁿ + 35. A254367

Truncated triangular pyramid numbers: a(n) = ∑_k=4..n (k*(k+1)/2 - 9). A51937