Properties of the Number 8436

Eight Thousand Four Hundred Thirty-Six

Basics

Value: 8435 → 8436 → 8437

Parity: even

Prime: No

Previous Prime: 8431

Next Prime: 8443

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 19 × 37

Divisors: 1, 2, 3, 4, 6, 12, 19, 37, 38, 57

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: Yes

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Representations

Binary: 10000011110100

Octal: 20364

Duodecimal: 4A70

Hexadecimal: 20f4

Square: 71166096

Square Root: 91.84770002564028

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

Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6. A292

Sum of the first n even squares: a(n) = 2·n*(n+1)*(2·n+1)/3. A2492

Numbers k such that k² divides 11^k - 1. A127092

12 times triangular numbers. A49598

Row sums of A168281. A168380

Triangle of triangular binomial coefficients, read by rows, where column k has the g.f.: 1/(1-x)^(k+1*(k+2)/2) for k >= 0. A98568

Array read by descending antidiagonals: A(n,k) is the number of unoriented colorings of the facets of a regular n-dimensional orthotope using up to k colors. A325005

Irregular triangle read by rows: row n (n>=1) lists the distinct areas of integer-sided triangles whose area equals n times their perimeter. A290451

The number of inequivalent ways to color the vertices of a regular octahedron using at most n colors. A198833

Expansion of ∑_k>0 x^2·k/(1-x^k)⁴. A363604