Live analysis

3,822

3,822 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.).

3,822 (three thousand eight hundred twenty-two) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2 × 3 × 7² × 13. Its proper divisors sum to 5,754, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMDCCCXXII and in binary, 111011101110.

Abundant Number Arithmetic Number Cube-Free Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 3,833 3,834

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 96
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 2,283
Recamán's sequence: a(6,284) = 3,822
Square (n²): 14,607,684
Cube (n³): 55,830,568,248
Divisor count: 24
σ(n) — sum of divisors: 9,576
φ(n) — Euler's totient: 1,008
Sum of prime factors: 32

Primality

Prime factorization: 2 × 3 × 7 ² × 13

Nearest primes: 3,821 (−1) · 3,823 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 7 · 13 · 14 · 21 · 26 · 39 · 42 · 49 · 78 · 91 · 98 · 147 · 182 · 273 · 294 · 546 · 637 · 1274 · 1911 (half) · 3822

Aliquot sum (sum of proper divisors): 5,754

Factor pairs (a × b = 3,822)

1 × 3822

2 × 1911

3 × 1274

6 × 637

7 × 546

13 × 294

14 × 273

21 × 182

26 × 147

39 × 98

42 × 91

49 × 78

First multiples

3,822 · 7,644 (double) · 11,466 · 15,288 · 19,110 · 22,932 · 26,754 · 30,576 · 34,398 · 38,220

Sums & aliquot sequence

As consecutive integers: 1,273 + 1,274 + 1,275 954 + 955 + 956 + 957 543 + 544 + … + 549 313 + 314 + … + 324

Aliquot sequence: 3,822 → 5,754 → 7,494 → 7,506 → 9,294 → 9,306 → 13,158 → 17,730 → 28,602 → 42,534 → 55,746 → 72,174 → 78,738 → 93,198 → 124,314 → 124,326 → 145,086 — unresolved within range

Continued fraction of √n

√3,822 = [61; (1, 4, 1, 1, 1, 2, 4, 2, 1, 1, 1, 4, 1, 122)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: three thousand eight hundred twenty-two
Ordinal: 3822nd
Roman numeral: MMMDCCCXXII
Binary: 111011101110
Octal: 7356
Hexadecimal: 0xEEE
Base64: Du4=
One's complement: 61,713 (16-bit)
Scientific notation: 3.822 × 10³
As a duration: 3,822 s = 1 hour, 3 minutes, 42 seconds

In other bases

ternary (3) 12020120

quaternary (4) 323232

quinary (5) 110242

senary (6) 25410

septenary (7) 14100

nonary (9) 5216

undecimal (11) 2965

duodecimal (12) 2266

tridecimal (13) 1980

tetradecimal (14) 1570

pentadecimal (15) 11ec

Palindromic in base 16

As an angle

3,822° = 10 × 360° + 222°

222° ≈ 3.875 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian): ͵γωκβʹ
Mayan (base 20): 𝋩·𝋫·𝋢
Chinese: 三千八百二十二
Chinese (financial): 參仟捌佰貳拾貳

In other modern scripts

Eastern Arabic ٣٨٢٢ Devanagari ३८२२ Bengali ৩৮২২ Tamil ௩௮௨௨ Thai ๓๘๒๒ Tibetan ༣༨༢༢ Khmer ៣៨២២ Lao ໓໘໒໒ Burmese ၃၈၂၂

Digit at this position in famous constants

π — Pi (π): Digit 3,822 = 2
e — Euler's number (e): Digit 3,822 = 3
φ — Golden ratio (φ): Digit 3,822 = 0
√2 — Pythagoras's (√2): Digit 3,822 = 9
ln 2 — Natural log of 2: Digit 3,822 = 6
γ — Euler-Mascheroni (γ): Digit 3,822 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3822, here are decompositions:

19 + 3803 = 3822
29 + 3793 = 3822
43 + 3779 = 3822
53 + 3769 = 3822
61 + 3761 = 3822
83 + 3739 = 3822
89 + 3733 = 3822
103 + 3719 = 3822

Showing the first eight; more decompositions exist.

Hex color

#000EEE

RGB(0, 14, 238)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.238.

Address: 0.0.14.238
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.238

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

Musical pitch

Heard as a frequency, 3,822 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, +43¢)
Scientific pitch (C4 = 256 Hz): B7 (3866.1 Hz, -20¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, +44¢)

Position in π

The digit sequence 3822 first appears in π at position 23,072 of the decimal expansion (the 23,072ordinal-suffix:nd 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 3822 on Pi Search ↗