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Number

2,347

2,347 is a prime, odd.

2,347 (two thousand three hundred forty-seven) 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 MMCCCXLVII and in binary, 100100101011.

Arithmetic Number Ascending Digits Cousin Prime Cube-Free Deficient Number Evil Number Lazy Caterer Number Left-Truncatable Prime Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Interestingness

11 notable facts · grade A
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Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
168
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
7,432
Recamán's sequence
a(15,797) = 2,347
Square (n²)
5,508,409
Cube (n³)
12,928,235,923
Divisor count
2
σ(n) — sum of divisors
2,348
φ(n) — Euler's totient
2,346

Primality

2,347 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2347
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,347)
1 × 2347
First multiples
2,347 · 4,694 (double) · 7,041 · 9,388 · 11,735 · 14,082 · 16,429 · 18,776 · 21,123 · 23,470

Sums & aliquot sequence

As consecutive integers: 1,173 + 1,174

Continued fraction of √n

√2,347 = [48; (2, 4, 8, 1, 1, 2, 2, 2, 4, 1, 31, 2, 13, 2, 1, 6, 4, 15, 1, 9, 1, 4, 1, 3, …)]

Representations

In words
two thousand three hundred forty-seven
Ordinal
2347th
Roman numeral
MMCCCXLVII
Binary
100100101011
Octal
4453
Hexadecimal
0x92B
Base64
CSs=
One's complement
63,188 (16-bit)
Scientific notation
2.347 × 10³
As a duration
2,347 s = 39 minutes, 7 seconds
In other bases
ternary (3) 10012221
quaternary (4) 210223
quinary (5) 33342
senary (6) 14511
septenary (7) 6562
nonary (9) 3187
undecimal (11) 1844
duodecimal (12) 1437
tridecimal (13) 10b7
tetradecimal (14) bd9
pentadecimal (15) a67

As an angle

2,347° = 6 × 360° + 187°
187° ≈ 3.264 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βτμζʹ
Mayan (base 20)
𝋥·𝋱·𝋧
Chinese
二千三百四十七
Chinese (financial)
貳仟參佰肆拾柒
In other modern scripts
Eastern Arabic ٢٣٤٧ Devanagari २३४७ Bengali ২৩৪৭ Tamil ௨௩௪௭ Thai ๒๓๔๗ Tibetan ༢༣༤༧ Khmer ២៣៤៧ Lao ໒໓໔໗ Burmese ၂၃၄၇

Digit at this position in famous constants

π — Pi (π)
Digit 2,347 = 6
e — Euler's number (e)
Digit 2,347 = 5
φ — Golden ratio (φ)
Digit 2,347 = 2
√2 — Pythagoras's (√2)
Digit 2,347 = 7
ln 2 — Natural log of 2
Digit 2,347 = 7
γ — Euler-Mascheroni (γ)
Digit 2,347 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,341 (gap of 6)
  • Next prime: 2,351 (gap of 4)

Pair status: cousin with 2351, sexy with 2341.

Unicode codepoint
Devanagari Letter Pha
U+092B
Other letter (Lo)

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

Hex color
#00092B
RGB(0, 9, 43)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.43.

Address
0.0.9.43
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.9.43

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

Musical pitch

Heard as a frequency, 2,347 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D7 (2349.3 Hz, -2¢)
  • Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, +36¢)
  • Baroque pitch (A4 = 415 Hz): D♯7 (2347.6 Hz, exact)
Position in π

The digit sequence 2347 first appears in π at position 7,080 of the decimal expansion (the 7,080ordinal-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.