Properties of the Number 4164

Four Thousand One Hundred Sixty-Four

Basics

Value: 4163 → 4164 → 4165

Parity: even

Prime: No

Previous Prime: 4159

Next Prime: 4177

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 347

Divisors: 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001000100

Octal: 10104

Duodecimal: 24B0

Hexadecimal: 1044

Square: 17338896

Square Root: 64.52906321960671

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 nonlinear binomial sum. A126

Numbers that are the sum of 6 positive 6th powers. A3362

Generalized 17-gonal (or heptadecagonal) numbers: m*(15·m - 13)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303305

Number of primes < prime(n)². A879

Numbers whose binary indices are prime numbers. A326782

q-Fibonacci numbers for q=4, scaling a(n-1). A15475

17-gonal (or heptadecagonal) numbers: a(n) = n*(15·n-13)/2. A51869

Positive numbers such that the digital sum base 2 and the digital sum base 10 are in a ratio of 2:10. A135110

Numbers that have 8 terms in their Zeckendorf representation. A179248

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) = ∑_{1 <= x₁, x₂, ..., x_k <= n} gcd(x₁, x₂, ..., x_k). A344479