Live analysis

4,220

4,220 is a composite number, even.

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.).

4,220 (four thousand two hundred twenty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 211. Its proper divisors sum to 4,684, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x107C.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

4,208 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

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 13 bits
Reversed: 224
Recamán's sequence: a(1,264) = 4,220
Square (n²): 17,808,400
Cube (n³): 75,151,448,000
Divisor count: 12
σ(n) — sum of divisors: 8,904
φ(n) — Euler's totient: 1,680
Sum of prime factors: 220

Primality

Prime factorization: 2 ² × 5 × 211

Nearest primes: 4,219 (−1) · 4,229 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 211 · 422 · 844 · 1055 · 2110 (half) · 4220

Aliquot sum (sum of proper divisors): 4,684

Factor pairs (a × b = 4,220)

1 × 4220

2 × 2110

4 × 1055

5 × 844

10 × 422

20 × 211

First multiples

4,220 · 8,440 (double) · 12,660 · 16,880 · 21,100 · 25,320 · 29,540 · 33,760 · 37,980 · 42,200

Sums & aliquot sequence

As consecutive integers: 842 + 843 + 844 + 845 + 846 524 + 525 + … + 531 86 + 87 + … + 125

Aliquot sequence: 4,220 → 4,684 → 3,520 → 5,624 → 5,776 → 6,035 → 1,741 → 1 → 0 — terminates at zero

Continued fraction of √n

√4,220 = [64; (1, 24, 1, 128)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: four thousand two hundred twenty
Ordinal: 4220th
Binary: 1000001111100
Octal: 10174
Hexadecimal: 0x107C
Base64: EHw=
One's complement: 61,315 (16-bit)
Scientific notation: 4.22 × 10³
As a duration: 4,220 s = 1 hour, 10 minutes, 20 seconds

In other bases

ternary (3) 12210022

quaternary (4) 1001330

quinary (5) 113340

senary (6) 31312

septenary (7) 15206

nonary (9) 5708

undecimal (11) 3197

duodecimal (12) 2538

tridecimal (13) 1bc8

tetradecimal (14) 1776

pentadecimal (15) 13b5

As an angle

4,220° = 11 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian): ͵δσκʹ
Mayan (base 20): 𝋪·𝋫·𝋠
Chinese: 四千二百二十
Chinese (financial): 肆仟貳佰貳拾

In other modern scripts

Eastern Arabic ٤٢٢٠ Devanagari ४२२० Bengali ৪২২০ Tamil ௪௨௨௦ Thai ๔๒๒๐ Tibetan ༤༢༢༠ Khmer ៤២២០ Lao ໔໒໒໐ Burmese ၄၂၂၀

Digit at this position in famous constants

π — Pi (π): Digit 4,220 = 7
e — Euler's number (e): Digit 4,220 = 5
φ — Golden ratio (φ): Digit 4,220 = 8
√2 — Pythagoras's (√2): Digit 4,220 = 8
ln 2 — Natural log of 2: Digit 4,220 = 2
γ — Euler-Mascheroni (γ): Digit 4,220 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4220, here are decompositions:

3 + 4217 = 4220
19 + 4201 = 4220
43 + 4177 = 4220
61 + 4159 = 4220
67 + 4153 = 4220
109 + 4111 = 4220
127 + 4093 = 4220
163 + 4057 = 4220

Showing the first eight; more decompositions exist.

Unicode codepoint

ၼ

Myanmar Letter Shan Na

U+107C

Other letter (Lo)

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

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

Hex color

#00107C

RGB(0, 16, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.124.

Address: 0.0.16.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.124

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

Musical pitch

Heard as a frequency, 4,220 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, +15¢)

Position in π

The digit sequence 4220 first appears in π at position 2,371 of the decimal expansion (the 2,371ordinal-suffix:st 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 4220 on Pi Search ↗