Properties of the Number 4495

Four Thousand Four Hundred Ninety-Five

Basics

Value: 4494 → 4495 → 4496

Parity: odd

Prime: No

Previous Prime: 4493

Next Prime: 4507

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 29 × 31

Divisors: 1, 5, 29, 31, 145, 155, 899, 4495

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: Yes

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Representations

Binary: 1000110001111

Octal: 10617

Duodecimal: 2727

Hexadecimal: 118f

Square: 20205025

Square Root: 67.04476116744694

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

a(n) = 1² + 3² + 5² + 7² + ... + (2·n-1)² = n*(4·n² - 1)/3. A447

13-gonal (or tridecagonal) numbers: a(n) = n*(11·n - 9)/2. A51865

Array read by antidiagonals: A(n,k) is the number of binary matrices with k columns and any number of nonzero rows with n ones in every column and columns in nonincreasing lexicographic order. A330942

Numbers k such that x^k + x + 1 is irreducible over GF(2). A2475

Triangle read by rows: number of connected graphs with k >= 0 edges and n nodes (1<=n<=k+1). A54923

G.f. A(x) satisfies A(x) = 1 + x·A(x)⁴*A(-x)³. A143547

Expansion of ∏_k>=1 1/(1-x^2·k-1)^2·k-1. A262811

Least k for the Theodorus spiral to complete n revolutions. A72895

Odd tetrahedral numbers: a(n) = (4·n+1)*(4·n+2)*(4·n+3)/6. A15219