Properties of the Number 10236

Ten Thousand Two Hundred Thirty-Six

Basics

Value: 10235 → 10236 → 10237

Parity: even

Prime: No

Previous Prime: 10223

Next Prime: 10243

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 853

Divisors: 1, 2, 3, 4, 6, 12, 853, 1706, 2559, 3412

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111111100

Octal: 23774

Duodecimal: 5B10

Hexadecimal: 27fc

Square: 104775696

Square Root: 101.17311895953391

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) = T(4,n), array T given by A048483. A48487

a(n) = number of steps to reach 0 when starting from k = (n³)-1 and repeatedly applying the map that replaces k with k - A055401(k), where A055401(k) = the number of positive cubes needed to sum to k using the greedy algorithm. A261228

a(n) equals the coefficient of xⁿ in ∑_m>=0 (x^m + 4 + 1/x^m)^m for n >= 1. A316594

Minimal positive solution z of Pell equation z² - A077426(n)*t² = -4. A78356

Expansion of g.f. 1/ (1-x¹*(1-x^m+1)/ (1-x²*(1-x^m+2)/ (1- ... ))) for m=7. A228644

a(n) = A276085(A108951(A346096(n))), where A346096(n) gives the numerator of the primorial deflation of A276086(A108951(n)). A346108

a(n) = A276085(A108951(A346097(n))), where A346097(n) gives the denominator of the primorial deflation of A276086(A108951(n)). A346109

Start with 1, then alternately add 2 or double. A123208

Expansion of (x - x² + 2·x³ + 2·x⁴)/(1 - 3·x + 2·x²). A270810

a(n) = a(n-2) - (a(n-1) - a(n-2)) if (n mod 2) = 0, otherwise a(n) = a(n-1) - (a(n-3) - a(n-4)), with a(0) = 0, a(1) = 1, a(2) = -1, a(3) = 2. A135690