Properties of the Number 4207

Four Thousand Two Hundred Seven

Basics

Value: 4206 → 4207 → 4208

Parity: odd

Prime: No

Previous Prime: 4201

Next Prime: 4211

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 7 × 601

Divisors: 1, 7, 601, 4207

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001101111

Octal: 10157

Duodecimal: 2527

Hexadecimal: 106f

Square: 17698849

Square Root: 64.8613906727261

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

a(0) = 1, a(n) = 5·n² + 2 for n>0. A10001

Number of unlabeled trivalent (or cubic) graphs with 2n nodes. A5638

Expansion of e.g.f.: -LambertW(-x/(1+x)). A60356

Toothpick sequence in the three-dimensional grid. A160160

Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c²+d²)/2)). A134602

Trajectory of n under the Reverse and Add! operation carried out in base 4 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n. A75421

Discriminants of imaginary quadratic fields with class number 26 (negated). A351664

Sum T(n,k) over all partitions λ of n into k distinct parts of ∏_i:λ prime(i); triangle T(n,k), n>=0, 0<=k<=A003056(n), read by rows. A258323

Numerator of ∑_k=1..n 1/φ(k). A28415

Number of ordered ways of writing n³ as a sum of n nonnegative cubes. A298671