Properties of the Number 4221

Four Thousand Two Hundred Twenty-One

Basics

Value: 4220 → 4221 → 4222

Parity: odd

Prime: No

Previous Prime: 4219

Next Prime: 4229

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 67

Divisors: 1, 3, 7, 9, 21, 63, 67, 201, 469, 603

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001111101

Octal: 10175

Duodecimal: 2539

Hexadecimal: 107d

Square: 17816841

Square Root: 64.96922348312314

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

Generalized 22-gonal (or icosidigonal) numbers: m*(10·m - 9) with m = 0, +1, -1, +2, -2, +3, -3, ... A303299

a(n) is the (n+1)st (n+2)-gonal number. A64808

a(n) = (2·n+5)*(2·n+1). A78371

First differences of the binomial transform of the distinct partition numbers (A000009). A129519

a(n) is smallest number such that number of primes produced according to rules stipulated in Honaker's A048853 is n. A50662

22-gonal numbers: a(n) = n*(10·n-9). A51874

Partial sums of round(n²/9). A177100

Expansion of ∏_m>=1 ((1+q^2·m-1)/(1+q^2·m))⁷. A29844

a(n) is the number of binary strings of length n such that no subsequence of length 4 contains 3 or more ones. A118647

Numbers with more than one factorization into S-primes. See A054520 and A057948 for definition. A57949