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Number

2,389

2,389 is a prime, odd.

2,389 (two thousand three hundred eighty-nine) 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 MMCCCLXXXIX and in binary, 100101010101.

Arithmetic Number Ascending Digits Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

10 notable facts · grade A
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Properties

Parity
Odd
Digit count
4
Digit sum
22
Digit product
432
Digital root
4
Palindrome
No
Bit width
12 bits
Reversed
9,832
Recamán's sequence
a(98,694) = 2,389
Square (n²)
5,707,321
Cube (n³)
13,634,789,869
Divisor count
2
σ(n) — sum of divisors
2,390
φ(n) — Euler's totient
2,388

Primality

2,389 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2389
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,389)
1 × 2389
First multiples
2,389 · 4,778 (double) · 7,167 · 9,556 · 11,945 · 14,334 · 16,723 · 19,112 · 21,501 · 23,890

Sums & aliquot sequence

As a sum of two squares: 25² + 42²
As consecutive integers: 1,194 + 1,195

Continued fraction of √n

√2,389 = [48; (1, 7, 6, 2, 1, 1, 4, 3, 2, 2, 13, 1, 1, 4, 7, 3, 2, 1, 5, 19, 2, 1, 1, 1, …)]

Representations

In words
two thousand three hundred eighty-nine
Ordinal
2389th
Roman numeral
MMCCCLXXXIX
Binary
100101010101
Octal
4525
Hexadecimal
0x955
Base64
CVU=
One's complement
63,146 (16-bit)
Scientific notation
2.389 × 10³
As a duration
2,389 s = 39 minutes, 49 seconds
In other bases
ternary (3) 10021111
quaternary (4) 211111
quinary (5) 34024
senary (6) 15021
septenary (7) 6652
nonary (9) 3244
undecimal (11) 1882
duodecimal (12) 1471
tridecimal (13) 111a
tetradecimal (14) c29
pentadecimal (15) a94

As an angle

2,389° = 6 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βτπθʹ
Mayan (base 20)
𝋥·𝋳·𝋩
Chinese
二千三百八十九
Chinese (financial)
貳仟參佰捌拾玖
In other modern scripts
Eastern Arabic ٢٣٨٩ Devanagari २३८९ Bengali ২৩৮৯ Tamil ௨௩௮௯ Thai ๒๓๘๙ Tibetan ༢༣༨༩ Khmer ២៣៨៩ Lao ໒໓໘໙ Burmese ၂၃၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 2,389 = 8
e — Euler's number (e)
Digit 2,389 = 6
φ — Golden ratio (φ)
Digit 2,389 = 8
√2 — Pythagoras's (√2)
Digit 2,389 = 7
ln 2 — Natural log of 2
Digit 2,389 = 7
γ — Euler-Mascheroni (γ)
Digit 2,389 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,383 (gap of 6)
  • Next prime: 2,393 (gap of 4)

Pair status: cousin with 2393, sexy with 2383.

Unicode codepoint
Devanagari Vowel Sign Candra Long E
U+0955
Non-spacing mark (Mn)

UTF-8 encoding: E0 A5 95 (3 bytes).

Hex color
#000955
RGB(0, 9, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.85.

Address
0.0.9.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.9.85

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

Musical pitch

Heard as a frequency, 2,389 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D7 (2349.3 Hz, +29¢)
  • Scientific pitch (C4 = 256 Hz): D♯7 (2435.5 Hz, -33¢)
  • Baroque pitch (A4 = 415 Hz): D♯7 (2347.6 Hz, +30¢)
Position in π

The digit sequence 2389 first appears in π at position 12,937 of the decimal expansion (the 12,937ordinal-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.