Number

12,289

12,289 is a prime, odd.

12,289 (twelve thousand two hundred eighty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3001.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

12,277 12,278 12,279 12,280 12,281 12,282 12,283 12,284 12,285 12,286 12,287 12,288 12,289 12,290 12,291 12,292 12,293 12,294 12,295 12,296 12,297 12,298 12,299 12,300 12,301

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 22
Digit product: 288
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 98,221
Recamán's sequence: a(22,206) = 12,289
Square (n²): 151,019,521
Cube (n³): 1,855,878,893,569
Divisor count: 2
σ(n) — sum of divisors: 12,290
φ(n) — Euler's totient: 12,288

Primality

12,289 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 12289

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 12,289)

1 × 12289

First multiples

12,289 · 24,578 (double) · 36,867 · 49,156 · 61,445 · 73,734 · 86,023 · 98,312 · 110,601 · 122,890

Sums & aliquot sequence

As a sum of two squares: 25² + 108²

As consecutive integers: 6,144 + 6,145

Continued fraction of √n

√12,289 = [110; (1, 5, 1, 13, 1, 12, 9, 6, 4, 2, 5, 10, 2, 1, 2, 16, 1, 2, 7, 3, 3, 1, 1, 1, …)]

Representations

In words: twelve thousand two hundred eighty-nine
Ordinal: 12289th
Binary: 11000000000001
Octal: 30001
Hexadecimal: 0x3001
Base64: MAE=
One's complement: 53,246 (16-bit)
Scientific notation: 1.2289 × 10⁴
As a duration: 12,289 s = 3 hours, 24 minutes, 49 seconds

In other bases

ternary (3) 121212011

quaternary (4) 3000001

quinary (5) 343124

senary (6) 132521

septenary (7) 50554

nonary (9) 17764

undecimal (11) 9262

duodecimal (12) 7141

tridecimal (13) 5794

tetradecimal (14) 469b

pentadecimal (15) 3994

As an angle

12,289° = 34 × 360° + 49°

49° ≈ 0.855 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιβσπθʹ
Mayan (base 20): 𝋡·𝋪·𝋮·𝋩
Chinese: 一萬二千二百八十九
Chinese (financial): 壹萬貳仟貳佰捌拾玖

In other modern scripts

Eastern Arabic ١٢٢٨٩ Devanagari १२२८९ Bengali ১২২৮৯ Tamil ௧௨௨௮௯ Thai ๑๒๒๘๙ Tibetan ༡༢༢༨༩ Khmer ១២២៨៩ Lao ໑໒໒໘໙ Burmese ၁၂၂၈၉

Digit at this position in famous constants

π — Pi (π): Digit 12,289 = 5
e — Euler's number (e): Digit 12,289 = 4
φ — Golden ratio (φ): Digit 12,289 = 4
√2 — Pythagoras's (√2): Digit 12,289 = 6
ln 2 — Natural log of 2: Digit 12,289 = 1
γ — Euler-Mascheroni (γ): Digit 12,289 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 12,281 (gap of 8)
Next prime: 12,301 (gap of 12)

Unicode codepoint

、

Ideographic Comma

U+3001

Other punctuation (Po)

UTF-8 encoding: E3 80 81 (3 bytes).

Lookup U+3001 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003001

RGB(0, 48, 1)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.48.1.

Address: 0.0.48.1
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.48.1

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

Musical pitch

Heard as a frequency, 12,289 Hz is closest to:

Concert pitch (A4 = 440 Hz): G9 (12543.9 Hz, -36¢)
Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, +2¢)
Baroque pitch (A4 = 415 Hz): G♯9 (12534.7 Hz, -34¢)

Position in π

The digit sequence 12289 first appears in π at position 5,182 of the decimal expansion (the 5,182ordinal-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 12289 on Pi Search ↗