Live analysis

3,820

3,820 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.).

3,820 (three thousand eight hundred twenty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 191. Its proper divisors sum to 4,244, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMDCCCXX and in binary, 111011101100.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

3,808 3,809 3,810 3,811 3,812 3,813 3,814 3,815 3,816 3,817 3,818 3,819 3,820 3,821 3,822 3,823 3,824 3,825 3,826 3,827 3,828 3,829 3,830 3,831 3,832

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 12 bits
Reversed: 283
Recamán's sequence: a(6,288) = 3,820
Square (n²): 14,592,400
Cube (n³): 55,742,968,000
Divisor count: 12
σ(n) — sum of divisors: 8,064
φ(n) — Euler's totient: 1,520
Sum of prime factors: 200

Primality

Prime factorization: 2 ² × 5 × 191

Nearest primes: 3,803 (−17) · 3,821 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 191 · 382 · 764 · 955 · 1910 (half) · 3820

Aliquot sum (sum of proper divisors): 4,244

Factor pairs (a × b = 3,820)

1 × 3820

2 × 1910

4 × 955

5 × 764

10 × 382

20 × 191

First multiples

3,820 · 7,640 (double) · 11,460 · 15,280 · 19,100 · 22,920 · 26,740 · 30,560 · 34,380 · 38,200

Sums & aliquot sequence

As consecutive integers: 762 + 763 + 764 + 765 + 766 474 + 475 + … + 481 76 + 77 + … + 115

Aliquot sequence: 3,820 → 4,244 → 3,190 → 3,290 → 3,622 → 1,814 → 910 → 1,106 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 — unresolved within range

Continued fraction of √n

√3,820 = [61; (1, 4, 6, 3, 3, 1, 2, 24, 2, 1, 3, 3, 6, 4, 1, 122)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: three thousand eight hundred twenty
Ordinal: 3820th
Roman numeral: MMMDCCCXX
Binary: 111011101100
Octal: 7354
Hexadecimal: 0xEEC
Base64: Duw=
One's complement: 61,715 (16-bit)
Scientific notation: 3.82 × 10³
As a duration: 3,820 s = 1 hour, 3 minutes, 40 seconds

In other bases

ternary (3) 12020111

quaternary (4) 323230

quinary (5) 110240

senary (6) 25404

septenary (7) 14065

nonary (9) 5214

undecimal (11) 2963

duodecimal (12) 2264

tridecimal (13) 197b

tetradecimal (14) 156c

pentadecimal (15) 11ea

As an angle

3,820° = 10 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵γωκʹ
Mayan (base 20): 𝋩·𝋫·𝋠
Chinese: 三千八百二十
Chinese (financial): 參仟捌佰貳拾

In other modern scripts

Eastern Arabic ٣٨٢٠ Devanagari ३८२० Bengali ৩৮২০ Tamil ௩௮௨௦ Thai ๓๘๒๐ Tibetan ༣༨༢༠ Khmer ៣៨២០ Lao ໓໘໒໐ Burmese ၃၈၂၀

Digit at this position in famous constants

π — Pi (π): Digit 3,820 = 6
e — Euler's number (e): Digit 3,820 = 8
φ — Golden ratio (φ): Digit 3,820 = 2
√2 — Pythagoras's (√2): Digit 3,820 = 4
ln 2 — Natural log of 2: Digit 3,820 = 2
γ — Euler-Mascheroni (γ): Digit 3,820 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3820, here are decompositions:

17 + 3803 = 3820
23 + 3797 = 3820
41 + 3779 = 3820
53 + 3767 = 3820
59 + 3761 = 3820
101 + 3719 = 3820
149 + 3671 = 3820
197 + 3623 = 3820

Showing the first eight; more decompositions exist.

Hex color

#000EEC

RGB(0, 14, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.236.

Address: 0.0.14.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.236

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

Musical pitch

Heard as a frequency, 3,820 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, +42¢)
Scientific pitch (C4 = 256 Hz): B7 (3866.1 Hz, -21¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, +43¢)

Position in π

The digit sequence 3820 first appears in π at position 45,857 of the decimal expansion (the 45,857ordinal-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 3820 on Pi Search ↗