Live analysis

4,221

4,221 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

4,221 (four thousand two hundred twenty-one) is an odd 4-digit number. It is a composite number with 12 divisors, and factors as 3² × 7 × 67. Written other ways, in hexadecimal, 0x107D.

Cube-Free Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

4,209 4,210 4,211 4,212 4,213 4,214 4,215 4,216 4,217 4,218 4,219 4,220 4,221 4,222 4,223 4,224 4,225 4,226 4,227 4,228 4,229 4,230 4,231 4,232 4,233

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 9
Digit product: 16
Digital root: 9
Palindrome: No
Bit width: 13 bits
Reversed: 1,224
Recamán's sequence: a(1,266) = 4,221
Square (n²): 17,816,841
Cube (n³): 75,204,885,861
Divisor count: 12
σ(n) — sum of divisors: 7,072
φ(n) — Euler's totient: 2,376
Sum of prime factors: 80

Primality

Prime factorization: 3 ² × 7 × 67

Nearest primes: 4,219 (−2) · 4,229 (+8)

Divisors & multiples

All divisors (12)

1 · 3 · 7 · 9 · 21 · 63 · 67 · 201 · 469 · 603 · 1407 · 4221

Aliquot sum (sum of proper divisors): 2,851

Factor pairs (a × b = 4,221)

1 × 4221

3 × 1407

7 × 603

9 × 469

21 × 201

63 × 67

First multiples

4,221 · 8,442 (double) · 12,663 · 16,884 · 21,105 · 25,326 · 29,547 · 33,768 · 37,989 · 42,210

Sums & aliquot sequence

As a sum of two cubes: 5³ + 16³

As consecutive integers: 2,110 + 2,111 1,406 + 1,407 + 1,408 701 + 702 + 703 + 704 + 705 + 706 600 + 601 + … + 606

Aliquot sequence: 4,221 → 2,851 → 1 → 0 — terminates at zero

Continued fraction of √n

√4,221 = [64; (1, 31, 2, 31, 1, 128)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: four thousand two hundred twenty-one
Ordinal: 4221st
Binary: 1000001111101
Octal: 10175
Hexadecimal: 0x107D
Base64: EH0=
One's complement: 61,314 (16-bit)
Scientific notation: 4.221 × 10³
As a duration: 4,221 s = 1 hour, 10 minutes, 21 seconds

In other bases

ternary (3) 12210100

quaternary (4) 1001331

quinary (5) 113341

senary (6) 31313

septenary (7) 15210

nonary (9) 5710

undecimal (11) 3198

duodecimal (12) 2539

tridecimal (13) 1bc9

tetradecimal (14) 1777

pentadecimal (15) 13b6

Palindromic in base 6

As an angle

4,221° = 11 × 360° + 261°

261° ≈ 4.555 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian): ͵δσκαʹ
Mayan (base 20): 𝋪·𝋫·𝋡
Chinese: 四千二百二十一
Chinese (financial): 肆仟貳佰貳拾壹

In other modern scripts

Eastern Arabic ٤٢٢١ Devanagari ४२२१ Bengali ৪২২১ Tamil ௪௨௨௧ Thai ๔๒๒๑ Tibetan ༤༢༢༡ Khmer ៤២២១ Lao ໔໒໒໑ Burmese ၄၂၂၁

Digit at this position in famous constants

π — Pi (π): Digit 4,221 = 1
e — Euler's number (e): Digit 4,221 = 6
φ — Golden ratio (φ): Digit 4,221 = 4
√2 — Pythagoras's (√2): Digit 4,221 = 9
ln 2 — Natural log of 2: Digit 4,221 = 6
γ — Euler-Mascheroni (γ): Digit 4,221 = 6

Also seen as

Unicode codepoint

ၽ

Myanmar Letter Shan Pha

U+107D

Other letter (Lo)

UTF-8 encoding: E1 81 BD (3 bytes).

Lookup U+107D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00107D

RGB(0, 16, 125)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.125.

Address: 0.0.16.125
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.125

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 4,221 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +14¢)
Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, -48¢ — about midway to C8)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +16¢)

Position in π

The digit sequence 4221 first appears in π at position 8,330 of the decimal expansion (the 8,330ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 4221 on Pi Search ↗