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Number

12,049

12,049 is a prime, odd.

12,049 (twelve thousand forty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2F11.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
94,021
Recamán's sequence
a(22,686) = 12,049
Square (n²)
145,178,401
Cube (n³)
1,749,254,553,649
Divisor count
2
σ(n) — sum of divisors
12,050
φ(n) — Euler's totient
12,048

Primality

12,049 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12049
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,049)
1 × 12049
First multiples
12,049 · 24,098 (double) · 36,147 · 48,196 · 60,245 · 72,294 · 84,343 · 96,392 · 108,441 · 120,490

Sums & aliquot sequence

As a sum of two squares: 32² + 105²
As consecutive integers: 6,024 + 6,025

Continued fraction of √n

√12,049 = [109; (1, 3, 3, 4, 3, 1, 3, 6, 2, 1, 1, 2, 2, 5, 14, 2, 4, 1, 1, 1, 1, 1, 5, 1, …)]

Representations

In words
twelve thousand forty-nine
Ordinal
12049th
Binary
10111100010001
Octal
27421
Hexadecimal
0x2F11
Base64
LxE=
One's complement
53,486 (16-bit)
Scientific notation
1.2049 × 10⁴
As a duration
12,049 s = 3 hours, 20 minutes, 49 seconds
In other bases
ternary (3) 121112021
quaternary (4) 2330101
quinary (5) 341144
senary (6) 131441
septenary (7) 50062
nonary (9) 17467
undecimal (11) 9064
duodecimal (12) 6b81
tridecimal (13) 563b
tetradecimal (14) 4569
pentadecimal (15) 3884

As an angle

12,049° = 33 × 360° + 169°
169° ≈ 2.95 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιβμθʹ
Mayan (base 20)
𝋡·𝋪·𝋢·𝋩
Chinese
一萬二千零四十九
Chinese (financial)
壹萬貳仟零肆拾玖
In other modern scripts
Eastern Arabic ١٢٠٤٩ Devanagari १२०४९ Bengali ১২০৪৯ Tamil ௧௨௦௪௯ Thai ๑๒๐๔๙ Tibetan ༡༢༠༤༩ Khmer ១២០៤៩ Lao ໑໒໐໔໙ Burmese ၁၂၀၄၉

Digit at this position in famous constants

π — Pi (π)
Digit 12,049 = 8
e — Euler's number (e)
Digit 12,049 = 4
φ — Golden ratio (φ)
Digit 12,049 = 8
√2 — Pythagoras's (√2)
Digit 12,049 = 6
ln 2 — Natural log of 2
Digit 12,049 = 7
γ — Euler-Mascheroni (γ)
Digit 12,049 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,043 (gap of 6)
  • Next prime: 12,071 (gap of 22)

Pair status: sexy with 12043.

Unicode codepoint
Kangxi Radical Knife
U+2F11
Other symbol (So)

UTF-8 encoding: E2 BC 91 (3 bytes).

Hex color
#002F11
RGB(0, 47, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.17.

Address
0.0.47.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.47.17

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

Musical pitch

Heard as a frequency, 12,049 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +30¢)
  • Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -32¢)
  • Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +32¢)
Position in π

The digit sequence 12049 first appears in π at position 349,294 of the decimal expansion (the 349,294ordinal-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.