Properties of the Number 10234

Ten Thousand Two Hundred Thirty-Four

Basics

Value: 10233 → 10234 → 10235

Parity: even

Prime: No

Previous Prime: 10223

Next Prime: 10243

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 17 × 43

Divisors: 1, 2, 7, 14, 17, 34, 43, 86, 119, 238

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111111010

Octal: 23772

Duodecimal: 5B0A

Hexadecimal: 27fa

Square: 104734756

Square Root: 101.1632344283238

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

a(n) is the (n+1)st (n+2)-gonal number. A64808

Number of representations of n as a sum of products of pairs of positive integers, considered to be equivalent when terms or factors are reordered. A182269

a(n) = n*(11·n + 3)/2. A254963

G.f. satisfies: A(x) = (1+x) * A(x²)*A(x³)*A(x⁴)*...*A(xⁿ)*... A129373

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 3 neighboring 1s. A297544

29-gonal numbers: a(n) = n*(27·n-25)/2. A255187

T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero. A231285

Sum of all the parts in the partitions of n into 9 squarefree parts. A326523

Sum of all the parts in the partitions of n into 8 squarefree parts. A326444

One-sixth the area of the smallest primitive d-arithmetic triangle, where d=A072330(n). A72360