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Number

12,071

12,071 is a prime, odd.

12,071 (twelve thousand seventy-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2F27.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
17,021
Recamán's sequence
a(22,642) = 12,071
Square (n²)
145,709,041
Cube (n³)
1,758,853,833,911
Divisor count
2
σ(n) — sum of divisors
12,072
φ(n) — Euler's totient
12,070

Primality

12,071 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12071
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,071)
1 × 12071
First multiples
12,071 · 24,142 (double) · 36,213 · 48,284 · 60,355 · 72,426 · 84,497 · 96,568 · 108,639 · 120,710

Sums & aliquot sequence

As consecutive integers: 6,035 + 6,036

Continued fraction of √n

√12,071 = [109; (1, 6, 1, 1, 2, 1, 1, 3, 1, 1, 3, 2, 3, 3, 2, 109, 2, 3, 3, 2, 3, 1, 1, 3, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
twelve thousand seventy-one
Ordinal
12071st
Binary
10111100100111
Octal
27447
Hexadecimal
0x2F27
Base64
Lyc=
One's complement
53,464 (16-bit)
Scientific notation
1.2071 × 10⁴
As a duration
12,071 s = 3 hours, 21 minutes, 11 seconds
In other bases
ternary (3) 121120002
quaternary (4) 2330213
quinary (5) 341241
senary (6) 131515
septenary (7) 50123
nonary (9) 17502
undecimal (11) 9084
duodecimal (12) 6b9b
tridecimal (13) 5657
tetradecimal (14) 4583
pentadecimal (15) 389b

As an angle

12,071° = 33 × 360° + 191°
191° ≈ 3.334 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιβοαʹ
Mayan (base 20)
𝋡·𝋪·𝋣·𝋫
Chinese
一萬二千零七十一
Chinese (financial)
壹萬貳仟零柒拾壹
In other modern scripts
Eastern Arabic ١٢٠٧١ Devanagari १२०७१ Bengali ১২০৭১ Tamil ௧௨௦௭௧ Thai ๑๒๐๗๑ Tibetan ༡༢༠༧༡ Khmer ១២០៧១ Lao ໑໒໐໗໑ Burmese ၁၂၀၇၁

Digit at this position in famous constants

π — Pi (π)
Digit 12,071 = 7
e — Euler's number (e)
Digit 12,071 = 0
φ — Golden ratio (φ)
Digit 12,071 = 8
√2 — Pythagoras's (√2)
Digit 12,071 = 2
ln 2 — Natural log of 2
Digit 12,071 = 5
γ — Euler-Mascheroni (γ)
Digit 12,071 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,049 (gap of 22)
  • Next prime: 12,073 (gap of 2)

Pair status: twin with 12073.

Unicode codepoint
Kangxi Radical Roof
U+2F27
Other symbol (So)

UTF-8 encoding: E2 BC A7 (3 bytes).

Hex color
#002F27
RGB(0, 47, 39)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.39.

Address
0.0.47.39
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.47.39

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

Musical pitch

Heard as a frequency, 12,071 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +33¢)
  • Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -29¢)
  • Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +35¢)
Position in π

The digit sequence 12071 first appears in π at position 7,510 of the decimal expansion (the 7,510ordinal-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.