Properties of the Number 3983

Three Thousand Nine Hundred Eighty-Three

Basics

Value: 3982 → 3983 → 3984

Parity: odd

Prime: No

Previous Prime: 3967

Next Prime: 3989

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 569

Divisors: 1, 7, 569, 3983

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110001111

Octal: 7617

Duodecimal: 237B

Hexadecimal: f8f

Square: 15864289

Square Root: 63.111013301958636

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

Number of partitions of n such that 2*(greatest part) = (number of parts). A237753

Records for minima of the positive distance d between the seventh power of a positive integer·and the square of an integer y such that d = x⁷ - y² (x <> k² and y <> k⁷). A179784

Numbers n such that digits of n are not present in n⁴. A111116

Number of strict compositions of n with no three consecutive parts in arithmetic progression. A325849

Positions of 3 in A274640. A275172

Sum of the third largest parts in the partitions of n into 7 parts. A308931

Numbers k such that k·2^m+1 is prime for exactly one exponent m in the range 0<=m<=k. A61155

The sum of the first n primes, minus n. A101301

(Sum of the squares of the quadratic nonresidues of prime(n)) / prime(n). A125618

Number of (w,x,y) with all terms in {0,...,n} and max(|w-x|,|x-y|) = x. A213399