Number

10,273

10,273 is a prime, odd.

10,273 (ten thousand two hundred seventy-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2821.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

10,261 10,262 10,263 10,264 10,265 10,266 10,267 10,268 10,269 10,270 10,271 10,272 10,273 10,274 10,275 10,276 10,277 10,278 10,279 10,280 10,281 10,282 10,283 10,284 10,285

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 37,201
Recamán's sequence: a(5,805) = 10,273
Square (n²): 105,534,529
Cube (n³): 1,084,156,216,417
Divisor count: 2
σ(n) — sum of divisors: 10,274
φ(n) — Euler's totient: 10,272

Primality

10,273 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 10273

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 10,273)

1 × 10273

First multiples

10,273 · 20,546 (double) · 30,819 · 41,092 · 51,365 · 61,638 · 71,911 · 82,184 · 92,457 · 102,730

Sums & aliquot sequence

As a sum of two squares: 52² + 87²

As consecutive integers: 5,136 + 5,137

Continued fraction of √n

√10,273 = [101; (2, 1, 4, 3, 1, 1, 1, 1, 3, 4, 1, 2, 202)]

Period length 13 — the block in parentheses repeats forever.

Representations

In words: ten thousand two hundred seventy-three
Ordinal: 10273rd
Binary: 10100000100001
Octal: 24041
Hexadecimal: 0x2821
Base64: KCE=
One's complement: 55,262 (16-bit)
Scientific notation: 1.0273 × 10⁴
As a duration: 10,273 s = 2 hours, 51 minutes, 13 seconds

In other bases

ternary (3) 112002111

quaternary (4) 2200201

quinary (5) 312043

senary (6) 115321

septenary (7) 41644

nonary (9) 15074

undecimal (11) 779a

duodecimal (12) 5b41

tridecimal (13) 48a3

tetradecimal (14) 3a5b

pentadecimal (15) 309d

As an angle

10,273° = 28 × 360° + 193°

193° ≈ 3.368 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ισογʹ
Mayan (base 20): 𝋡·𝋥·𝋭·𝋭
Chinese: 一萬零二百七十三
Chinese (financial): 壹萬零貳佰柒拾參

In other modern scripts

Eastern Arabic ١٠٢٧٣ Devanagari १०२७३ Bengali ১০২৭৩ Tamil ௧௦௨௭௩ Thai ๑๐๒๗๓ Tibetan ༡༠༢༧༣ Khmer ១០២៧៣ Lao ໑໐໒໗໓ Burmese ၁၀၂၇၃

Digit at this position in famous constants

π — Pi (π): Digit 10,273 = 3
e — Euler's number (e): Digit 10,273 = 1
φ — Golden ratio (φ): Digit 10,273 = 5
√2 — Pythagoras's (√2): Digit 10,273 = 2
ln 2 — Natural log of 2: Digit 10,273 = 6
γ — Euler-Mascheroni (γ): Digit 10,273 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 10,271 (gap of 2)
Next prime: 10,289 (gap of 16)

Pair status: twin with 10271.

Unicode codepoint

⠡

Braille Pattern Dots-16

U+2821

Other symbol (So)

UTF-8 encoding: E2 A0 A1 (3 bytes).

Lookup U+2821 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002821

RGB(0, 40, 33)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.33.

Address: 0.0.40.33
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.40.33

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

Musical pitch

Heard as a frequency, 10,273 Hz is closest to:

Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -46¢ — about midway to D♯9)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -8¢)
Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -44¢)

Position in π

The digit sequence 10273 first appears in π at position 76,592 of the decimal expansion (the 76,592ordinal-suffix:nd 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.

Look up 10273 on Pi Search ↗