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Number

2,339

2,339 is a prime, odd.

2,339 (two thousand three hundred thirty-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 MMCCCXXXIX and in binary, 100100100011.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Right-Truncatable Prime Sexy Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

11 notable facts · grade A
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Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
162
Digital root
8
Palindrome
No
Bit width
12 bits
Reversed
9,332
Recamán's sequence
a(725) = 2,339
Square (n²)
5,470,921
Cube (n³)
12,796,484,219
Divisor count
2
σ(n) — sum of divisors
2,340
φ(n) — Euler's totient
2,338

Primality

2,339 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2339
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,339)
1 × 2339
First multiples
2,339 · 4,678 (double) · 7,017 · 9,356 · 11,695 · 14,034 · 16,373 · 18,712 · 21,051 · 23,390

Sums & aliquot sequence

As consecutive integers: 1,169 + 1,170

Continued fraction of √n

√2,339 = [48; (2, 1, 3, 19, 13, 1, 3, 3, 1, 1, 1, 1, 2, 6, 1, 1, 9, 7, 2, 1, 47, 1, 2, 7, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
two thousand three hundred thirty-nine
Ordinal
2339th
Roman numeral
MMCCCXXXIX
Binary
100100100011
Octal
4443
Hexadecimal
0x923
Base64
CSM=
One's complement
63,196 (16-bit)
Scientific notation
2.339 × 10³
As a duration
2,339 s = 38 minutes, 59 seconds
In other bases
ternary (3) 10012122
quaternary (4) 210203
quinary (5) 33324
senary (6) 14455
septenary (7) 6551
nonary (9) 3178
undecimal (11) 1837
duodecimal (12) 142b
tridecimal (13) 10ac
tetradecimal (14) bd1
pentadecimal (15) a5e

As an angle

2,339° = 6 × 360° + 179°
179° ≈ 3.124 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βτλθʹ
Mayan (base 20)
𝋥·𝋰·𝋳
Chinese
二千三百三十九
Chinese (financial)
貳仟參佰參拾玖
In other modern scripts
Eastern Arabic ٢٣٣٩ Devanagari २३३९ Bengali ২৩৩৯ Tamil ௨௩௩௯ Thai ๒๓๓๙ Tibetan ༢༣༣༩ Khmer ២៣៣៩ Lao ໒໓໓໙ Burmese ၂၃၃၉

Digit at this position in famous constants

π — Pi (π)
Digit 2,339 = 7
e — Euler's number (e)
Digit 2,339 = 1
φ — Golden ratio (φ)
Digit 2,339 = 3
√2 — Pythagoras's (√2)
Digit 2,339 = 9
ln 2 — Natural log of 2
Digit 2,339 = 0
γ — Euler-Mascheroni (γ)
Digit 2,339 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,333 (gap of 6)
  • Next prime: 2,341 (gap of 2)

Pair status: twin with 2341, sexy with 2333.

Unicode codepoint
Devanagari Letter Nna
U+0923
Other letter (Lo)

UTF-8 encoding: E0 A4 A3 (3 bytes).

Hex color
#000923
RGB(0, 9, 35)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.35.

Address
0.0.9.35
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.9.35

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

Musical pitch

Heard as a frequency, 2,339 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D7 (2349.3 Hz, -8¢)
  • Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, +30¢)
  • Baroque pitch (A4 = 415 Hz): D♯7 (2347.6 Hz, -6¢)
Position in π

The digit sequence 2339 first appears in π at position 9,551 of the decimal expansion (the 9,551ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.