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Number

2,273

2,273 is a prime, odd.

2,273 (two thousand two hundred seventy-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 MMCCLXXIII and in binary, 100011100001.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
84
Digital root
5
Palindrome
No
Bit width
12 bits
Reversed
3,722
Recamán's sequence
a(3,205) = 2,273
Square (n²)
5,166,529
Cube (n³)
11,743,520,417
Divisor count
2
σ(n) — sum of divisors
2,274
φ(n) — Euler's totient
2,272

Primality

2,273 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2273
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,273)
1 × 2273
First multiples
2,273 · 4,546 (double) · 6,819 · 9,092 · 11,365 · 13,638 · 15,911 · 18,184 · 20,457 · 22,730

Sums & aliquot sequence

As a sum of two squares: 8² + 47²
As consecutive integers: 1,136 + 1,137

Continued fraction of √n

√2,273 = [47; (1, 2, 11, 1, 1, 2, 2, 5, 1, 1, 5, 2, 2, 1, 1, 11, 2, 1, 94)]

Period length 19 — the block in parentheses repeats forever.

Representations

In words
two thousand two hundred seventy-three
Ordinal
2273rd
Roman numeral
MMCCLXXIII
Binary
100011100001
Octal
4341
Hexadecimal
0x8E1
Base64
COE=
One's complement
63,262 (16-bit)
Scientific notation
2.273 × 10³
As a duration
2,273 s = 37 minutes, 53 seconds
In other bases
ternary (3) 10010012
quaternary (4) 203201
quinary (5) 33043
senary (6) 14305
septenary (7) 6425
nonary (9) 3105
undecimal (11) 1787
duodecimal (12) 1395
tridecimal (13) 105b
tetradecimal (14) b85
pentadecimal (15) a18

As an angle

2,273° = 6 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵βσογʹ
Mayan (base 20)
𝋥·𝋭·𝋭
Chinese
二千二百七十三
Chinese (financial)
貳仟貳佰柒拾參
In other modern scripts
Eastern Arabic ٢٢٧٣ Devanagari २२७३ Bengali ২২৭৩ Tamil ௨௨௭௩ Thai ๒๒๗๓ Tibetan ༢༢༧༣ Khmer ២២៧៣ Lao ໒໒໗໓ Burmese ၂၂၇၃

Digit at this position in famous constants

π — Pi (π)
Digit 2,273 = 8
e — Euler's number (e)
Digit 2,273 = 9
φ — Golden ratio (φ)
Digit 2,273 = 3
√2 — Pythagoras's (√2)
Digit 2,273 = 2
ln 2 — Natural log of 2
Digit 2,273 = 5
γ — Euler-Mascheroni (γ)
Digit 2,273 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,269 (gap of 4)
  • Next prime: 2,281 (gap of 8)

Pair status: cousin with 2269.

Unicode codepoint
Arabic Small High Sign Safha
U+08E1
Non-spacing mark (Mn)

UTF-8 encoding: E0 A3 A1 (3 bytes).

Hex color
#0008E1
RGB(0, 8, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.225.

Address
0.0.8.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.225

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

Musical pitch

Heard as a frequency, 2,273 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, +43¢)
  • Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, -20¢)
  • Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, +44¢)
Position in π

The digit sequence 2273 first appears in π at position 14,905 of the decimal expansion (the 14,905ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.