Properties of the Number 4966

Four Thousand Nine Hundred Sixty-Six

Basics

Value: 4965 → 4966 → 4967

Parity: even

Prime: No

Previous Prime: 4957

Next Prime: 4967

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 13 × 191

Divisors: 1, 2, 13, 26, 191, 382, 2483, 4966

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101100110

Octal: 11546

Duodecimal: 2A5A

Hexadecimal: 1366

Square: 24661156

Square Root: 70.46985170979147

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

Square array A(n,k) by antidiagonals. A(n,k) is the number of length 2n k-ary words (n,k>=0), either empty or beginning with the first character of the alphabet, that can be built by repeatedly inserting doublets into the initially empty word. A183134

Result of using the perfect squares as coefficients in an infinite polynomial series in·and then expressing this series as (1+a(1)x)(1+a(2)x²)(1+a(3)x³)... A147559

3-almost primes with semiprime digits (digits 4, 6, 9 only). A111494

Expansion of c(3·x²)/(1-x·c(3·x²)), c(x) the g.f. of A000108. A128386

E.g.f. satisfies: A(x) = exp( x * (1 + 1/A(x)³)/2 ). A349721

Numbers n such that 6ⁿ+5 is prime. A145106

Number of quaternary words either empty or beginning with the first character of the alphabet, that can be built by inserting n doublets into the initially empty word. A194724

Numbers b that are the first of m³ consecutive cubes whose sum is a cube c³, where m³ is not divisible by 3 (A118719). A253778

Inverse Euler transform of n². A316152

Geometric mean of the digits = 6. In other words, the product of the digits is = 6^k where k is the number of digits. A61429