number.wiki
Number

3,823

3,823 is a prime, odd.

3,823 (three thousand eight hundred twenty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMDCCCXXIII and in binary, 111011101111.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Left-Truncatable Prime Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
144
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
3,283
Recamán's sequence
a(6,282) = 3,823
Square (n²)
14,615,329
Cube (n³)
55,874,402,767
Divisor count
2
σ(n) — sum of divisors
3,824
φ(n) — Euler's totient
3,822

Primality

3,823 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 3823
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 3,823)
1 × 3823
First multiples
3,823 · 7,646 (double) · 11,469 · 15,292 · 19,115 · 22,938 · 26,761 · 30,584 · 34,407 · 38,230

Sums & aliquot sequence

As consecutive integers: 1,911 + 1,912

Continued fraction of √n

√3,823 = [61; (1, 4, 1, 8, 1, 2, 8, 2, 20, 7, 4, 2, 3, 1, 1, 5, 3, 13, 2, 2, 1, 6, 6, 2, …)]

Representations

In words
three thousand eight hundred twenty-three
Ordinal
3823rd
Roman numeral
MMMDCCCXXIII
Binary
111011101111
Octal
7357
Hexadecimal
0xEEF
Base64
Du8=
One's complement
61,712 (16-bit)
Scientific notation
3.823 × 10³
As a duration
3,823 s = 1 hour, 3 minutes, 43 seconds
In other bases
ternary (3) 12020121
quaternary (4) 323233
quinary (5) 110243
senary (6) 25411
septenary (7) 14101
nonary (9) 5217
undecimal (11) 2966
duodecimal (12) 2267
tridecimal (13) 1981
tetradecimal (14) 1571
pentadecimal (15) 11ed

As an angle

3,823° = 10 × 360° + 223°
223° ≈ 3.892 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵γωκγʹ
Mayan (base 20)
𝋩·𝋫·𝋣
Chinese
三千八百二十三
Chinese (financial)
參仟捌佰貳拾參
In other modern scripts
Eastern Arabic ٣٨٢٣ Devanagari ३८२३ Bengali ৩৮২৩ Tamil ௩௮௨௩ Thai ๓๘๒๓ Tibetan ༣༨༢༣ Khmer ៣៨២៣ Lao ໓໘໒໓ Burmese ၃၈၂၃

Digit at this position in famous constants

π — Pi (π)
Digit 3,823 = 1
e — Euler's number (e)
Digit 3,823 = 1
φ — Golden ratio (φ)
Digit 3,823 = 4
√2 — Pythagoras's (√2)
Digit 3,823 = 4
ln 2 — Natural log of 2
Digit 3,823 = 9
γ — Euler-Mascheroni (γ)
Digit 3,823 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 3,821 (gap of 2)
  • Next prime: 3,833 (gap of 10)

Pair status: twin with 3821.

Hex color
#000EEF
RGB(0, 14, 239)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.239.

Address
0.0.14.239
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.14.239

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

Musical pitch

Heard as a frequency, 3,823 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, +43¢)
  • Scientific pitch (C4 = 256 Hz): B7 (3866.1 Hz, -19¢)
  • Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, +44¢)
Position in π

The digit sequence 3823 first appears in π at position 3,730 of the decimal expansion (the 3,730ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.