Properties of the Number 3930

Three Thousand Nine Hundred Thirty

Basics

Value: 3929 → 3930 → 3931

Parity: even

Prime: No

Previous Prime: 3929

Next Prime: 3931

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 131

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 131, 262

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101011010

Octal: 7532

Duodecimal: 2336

Hexadecimal: f5a

Square: 15444900

Square Root: 62.68971207462992

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

Total number of parts in all partitions of n plus the sum of largest parts of all partitions of n. A211978

Number of increasing arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2. A51336

Sum of quadratic residues of (n-th prime == 3 mod 4). A282035

Sum of the quadratic residues of prime(n). A76409

Triangle read by rows: T(n,k) = number of reversible string structures of length n using exactly k different symbols. A284949

Numbers divisible by prime(d) for each digit d in their base-4 representation, none of which may be zero. A256874

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 7 multiples of n-1, n-2, ..., 1, for n>=1. A113744

a(n) = Frobenius number for 3 successive primes = F[p(n), p(n+1), p(n+2)]. A138989

a(1)=0; thereafter, a(n) is the smallest number such that the addition table for (a(1),...,a(n)) contains n*(n+1)/2 different entries, and the multiplication table for (a(2),...,a(n)) contains n*(n-1)/2 different nonzero entries (the maximum possible in both cases). A337656

Sums of five consecutive squares: a(n) = n² + (n+1)² + (n+2)² + (n+3)² + (n+4)². A27578