Live analysis

3,220

3,220 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.).

3,220 (three thousand two hundred twenty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 7 × 23. Its proper divisors sum to 4,844, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCXX and in binary, 110010010100.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,208 3,209 3,210 3,211 3,212 3,213 3,214 3,215 3,216 3,217 3,218 3,219 3,220 3,221 3,222 3,223 3,224 3,225 3,226 3,227 3,228 3,229 3,230 3,231 3,232

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 223
Recamán's sequence: a(6,908) = 3,220
Square (n²): 10,368,400
Cube (n³): 33,386,248,000
Divisor count: 24
σ(n) — sum of divisors: 8,064
φ(n) — Euler's totient: 1,056
Sum of prime factors: 39

Primality

Prime factorization: 2 ² × 5 × 7 × 23

Nearest primes: 3,217 (−3) · 3,221 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 23 · 28 · 35 · 46 · 70 · 92 · 115 · 140 · 161 · 230 · 322 · 460 · 644 · 805 · 1610 (half) · 3220

Aliquot sum (sum of proper divisors): 4,844

Factor pairs (a × b = 3,220)

1 × 3220

2 × 1610

4 × 805

5 × 644

7 × 460

10 × 322

14 × 230

20 × 161

23 × 140

28 × 115

35 × 92

46 × 70

First multiples

3,220 · 6,440 (double) · 9,660 · 12,880 · 16,100 · 19,320 · 22,540 · 25,760 · 28,980 · 32,200

Sums & aliquot sequence

As consecutive integers: 642 + 643 + 644 + 645 + 646 457 + 458 + … + 463 399 + 400 + … + 406 129 + 130 + … + 151

Aliquot sequence: 3,220 → 4,844 → 4,900 → 7,469 → 1,939 → 285 → 195 → 141 → 51 → 21 → 11 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,220 = [56; (1, 2, 1, 11, 1, 6, 5, 1, 4, 1, 5, 6, 1, 11, 1, 2, 1, 112)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: three thousand two hundred twenty
Ordinal: 3220th
Roman numeral: MMMCCXX
Binary: 110010010100
Octal: 6224
Hexadecimal: 0xC94
Base64: DJQ=
One's complement: 62,315 (16-bit)
Scientific notation: 3.22 × 10³
As a duration: 3,220 s = 53 minutes, 40 seconds

In other bases

ternary (3) 11102021

quaternary (4) 302110

quinary (5) 100340

senary (6) 22524

septenary (7) 12250

nonary (9) 4367

undecimal (11) 2468

duodecimal (12) 1a44

tridecimal (13) 1609

tetradecimal (14) 1260

pentadecimal (15) e4a

As an angle

3,220° = 8 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian): ͵γσκʹ
Mayan (base 20): 𝋨·𝋡·𝋠
Chinese: 三千二百二十
Chinese (financial): 參仟貳佰貳拾

In other modern scripts

Eastern Arabic ٣٢٢٠ Devanagari ३२२० Bengali ৩২২০ Tamil ௩௨௨௦ Thai ๓๒๒๐ Tibetan ༣༢༢༠ Khmer ៣២២០ Lao ໓໒໒໐ Burmese ၃၂၂၀

Digit at this position in famous constants

π — Pi (π): Digit 3,220 = 8
e — Euler's number (e): Digit 3,220 = 0
φ — Golden ratio (φ): Digit 3,220 = 4
√2 — Pythagoras's (√2): Digit 3,220 = 8
ln 2 — Natural log of 2: Digit 3,220 = 2
γ — Euler-Mascheroni (γ): Digit 3,220 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3220, here are decompositions:

3 + 3217 = 3220
11 + 3209 = 3220
17 + 3203 = 3220
29 + 3191 = 3220
53 + 3167 = 3220
83 + 3137 = 3220
101 + 3119 = 3220
131 + 3089 = 3220

Showing the first eight; more decompositions exist.

Unicode codepoint

ಔ

Kannada Letter Au

U+0C94

Other letter (Lo)

UTF-8 encoding: E0 B2 94 (3 bytes).

Lookup U+0C94 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000C94

RGB(0, 12, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.148.

Address: 0.0.12.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.148

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

Musical pitch

Heard as a frequency, 3,220 Hz is closest to:

Concert pitch (A4 = 440 Hz): G7 (3136 Hz, +46¢ — about midway to G♯7)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -17¢)
Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, +47¢ — about midway to A7)

Position in π

The digit sequence 3220 first appears in π at position 5,351 of the decimal expansion (the 5,351ordinal-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 3220 on Pi Search ↗