Live analysis

8,220

8,220 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.).

8,220 (eight thousand two hundred twenty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 137. Its proper divisors sum to 14,964, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x201C.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

8,208 8,209 8,210 8,211 8,212 8,213 8,214 8,215 8,216 8,217 8,218 8,219 8,220 8,221 8,222 8,223 8,224 8,225 8,226 8,227 8,228 8,229 8,230 8,231 8,232

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 228
Recamán's sequence: a(10,327) = 8,220
Square (n²): 67,568,400
Cube (n³): 555,412,248,000
Divisor count: 24
σ(n) — sum of divisors: 23,184
φ(n) — Euler's totient: 2,176
Sum of prime factors: 149

Primality

Prime factorization: 2 ² × 3 × 5 × 137

Nearest primes: 8,219 (−1) · 8,221 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 137 · 274 · 411 · 548 · 685 · 822 · 1370 · 1644 · 2055 · 2740 · 4110 (half) · 8220

Aliquot sum (sum of proper divisors): 14,964

Factor pairs (a × b = 8,220)

1 × 8220

2 × 4110

3 × 2740

4 × 2055

5 × 1644

6 × 1370

10 × 822

12 × 685

15 × 548

20 × 411

30 × 274

60 × 137

First multiples

8,220 · 16,440 (double) · 24,660 · 32,880 · 41,100 · 49,320 · 57,540 · 65,760 · 73,980 · 82,200

Sums & aliquot sequence

As consecutive integers: 2,739 + 2,740 + 2,741 1,642 + 1,643 + 1,644 + 1,645 + 1,646 1,024 + 1,025 + … + 1,031 541 + 542 + … + 555

Aliquot sequence: 8,220 → 14,964 → 21,996 → 39,156 → 59,628 → 79,532 → 62,428 → 46,828 → 38,852 → 35,404 → 28,100 → 33,094 → 16,550 → 14,326 → 10,874 → 5,440 → 8,276 — unresolved within range

Continued fraction of √n

√8,220 = [90; (1, 1, 1, 44, 1, 1, 1, 180)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: eight thousand two hundred twenty
Ordinal: 8220th
Binary: 10000000011100
Octal: 20034
Hexadecimal: 0x201C
Base64: IBw=
One's complement: 57,315 (16-bit)
Scientific notation: 8.22 × 10³
As a duration: 8,220 s = 2 hours, 17 minutes

In other bases

ternary (3) 102021110

quaternary (4) 2000130

quinary (5) 230340

senary (6) 102020

septenary (7) 32652

nonary (9) 12243

undecimal (11) 61a3

duodecimal (12) 4910

tridecimal (13) 3984

tetradecimal (14) 2dd2

pentadecimal (15) 2680

Palindromic in base 14

As an angle

8,220° = 22 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ησκʹ
Mayan (base 20): 𝋡·𝋠·𝋫·𝋠
Chinese: 八千二百二十
Chinese (financial): 捌仟貳佰貳拾

In other modern scripts

Eastern Arabic ٨٢٢٠ Devanagari ८२२० Bengali ৮২২০ Tamil ௮௨௨௦ Thai ๘๒๒๐ Tibetan ༨༢༢༠ Khmer ៨២២០ Lao ໘໒໒໐ Burmese ၈၂၂၀

Digit at this position in famous constants

π — Pi (π): Digit 8,220 = 0
e — Euler's number (e): Digit 8,220 = 1
φ — Golden ratio (φ): Digit 8,220 = 9
√2 — Pythagoras's (√2): Digit 8,220 = 7
ln 2 — Natural log of 2: Digit 8,220 = 5
γ — Euler-Mascheroni (γ): Digit 8,220 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8220, here are decompositions:

11 + 8209 = 8220
29 + 8191 = 8220
41 + 8179 = 8220
53 + 8167 = 8220
59 + 8161 = 8220
73 + 8147 = 8220
97 + 8123 = 8220
103 + 8117 = 8220

Showing the first eight; more decompositions exist.

Unicode codepoint

“

Left Double Quotation Mark

U+201C

Initial quote (Pi)

UTF-8 encoding: E2 80 9C (3 bytes).

Lookup U+201C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00201C

RGB(0, 32, 28)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.28.

Address: 0.0.32.28
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.32.28

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

Musical pitch

Heard as a frequency, 8,220 Hz is closest to:

Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -32¢)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +6¢)
Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -30¢)

Position in π

The digit sequence 8220 first appears in π at position 10,564 of the decimal expansion (the 10,564ordinal-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 8220 on Pi Search ↗