Properties of the Number 36630

Thirty-Six Thousand Six Hundred Thirty

Basics

Value: 36629 → 36630 → 36631

Parity: even

Prime: No

Previous Prime: 36629

Next Prime: 36637

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 11 × 37

Divisors: 1, 2, 3, 5, 6, 9, 10, 11, 15, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111100010110

Octal: 107426

Duodecimal: 19246

Hexadecimal: 8f16

Square: 1341756900

Square Root: 191.38965489283896

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

Triangle T, read by rows, where column k of T = column 0 of T^k+1 for k>0, with column 0 of T = column 0 of T³ shift right. A135902

Triangle in which row n lists the coefficients in ∏_k=1..n (1 + k·x + x²), for n>=0, as read by rows. A249790

Coefficients of y^n-1 in ∏_k=1..n (1 + k·y + y²) for n >= 1. A202474

Numbers n for which number of iterations to reach the largest equals number of iterations to reach 1 from the largest in Collatz (3x+1) trajectory of n. A224303

Sum of the areas of the distinct rectangles (and the areas of the squares on their sides) with positive integer sides such that L + W = n, W < L. A294139

Take apart the sides of each of the integer-sided scalene triangles with perimeter n (at their vertices) and rearrange them orthogonally in 3-space so that their endpoints coincide at a single point. a(n) is the total surface area of all rectangular prisms enclosed in this way. A308235

Expansion of Molien series for 8-dimensional real Clifford group 2¹⁺⁶.Alt₈.2 of genus 3 and order 5160960. A24186

Central coefficients in ∏_k=1..n (1 + k·y + y²). A201826

G.f.: ∑_n>=0 xⁿ * ∏_k=1..n (1 + k·x + x²). A202476

Number of 4-ary rooted trees with n nodes and height exactly 6. A36630