Properties of the Number 3993

Three Thousand Nine Hundred Ninety-Three

Basics

Value: 3992 → 3993 → 3994

Parity: odd

Prime: No

Previous Prime: 3989

Next Prime: 4001

Digit Sum: 24

Digital Root: 6

Palindrome: Yes

Factorization: 3 × 11 ³

Divisors: 1, 3, 11, 33, 121, 363, 1331, 3993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110011001

Octal: 7631

Duodecimal: 2389

Hexadecimal: f99

Square: 15944049

Square Root: 63.190189111918315

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

Expansion of ∏_m>0 (1+q^m)^m(m+1/2). A28377

Numbers k such that k² is expressible as the sum of two positive cubes in at least one way. A50801

Numbers m such that there are precisely 7 groups of order m. A249550

Numbers of the form 3ⁱ*11^j. A3597

A(n,k) is the n-th Rhonda number to base A002808(k), the k-th composite number; square array A(n,k), n>=1, k>=1, read by antidiagonals. A291925

Palindromes with even number of digits. A56524

Integers that are Rhonda numbers to base 12. A100971

a(n) = 3·n³. A117642

Decimal palindromes that are multiples of 11. A83852

Number of partitions of n which represent losing Chomp positions. A112470