Properties of the Number 4206

Four Thousand Two Hundred Six

Basics

Value: 4205 → 4206 → 4207

Parity: even

Prime: No

Previous Prime: 4201

Next Prime: 4211

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 701

Divisors: 1, 2, 3, 6, 701, 1402, 2103, 4206

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001101110

Octal: 10156

Duodecimal: 2526

Hexadecimal: 106e

Square: 17690436

Square Root: 64.85368146836385

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

Starts of runs of 3 consecutive Niven numbers in base 2 (A049445). A330932

Number of partitions of n in which the greatest part is 9. A26815

The η triangle. A160464

Positive even numbers that are not the sum of a pair of twin primes. A7534

Expansion of ∏_k>=1 1 / (1 - k·x^k)^k. A266941

E.g.f. satisfies A(x) = 1 + x·exp(x·A(x)). A161631

T(n,k)=Number of arrays of 2n nondecreasing integers in -k..k with sum zero and equal numbers greater than zero and less than zero. A203291

a(n) = ∑_{r = 0 to n} L(n,r), where L(n,r) (A067049) = lcm(n, n-1, n-2, ..., n-r+1)/lcm(1, 2, 3, ..., r). A61297

Numbers which are the sum of their proper divisors containing the digit 0. A59461

Sum T(n,k) of the k-th entries in all blocks of all set partitions of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A285595