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Number

12,097

12,097 is a prime, odd.

12,097 (twelve thousand ninety-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2F41.

Arithmetic Number Centered Hexagonal Cousin Prime Cuban Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
79,021
Recamán's sequence
a(22,590) = 12,097
Square (n²)
146,337,409
Cube (n³)
1,770,243,636,673
Divisor count
2
σ(n) — sum of divisors
12,098
φ(n) — Euler's totient
12,096

Primality

12,097 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12097
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,097)
1 × 12097
First multiples
12,097 · 24,194 (double) · 36,291 · 48,388 · 60,485 · 72,582 · 84,679 · 96,776 · 108,873 · 120,970

Sums & aliquot sequence

As a sum of two squares: 71² + 84²
As consecutive integers: 6,048 + 6,049

Continued fraction of √n

√12,097 = [109; (1, 72, 3, 24, 9, 8, 27, 2, 1, 2, 8, 1, 3, 1, 3, 1, 2, 3, 1, 3, 1, 4, 3, 13, …)]

Representations

In words
twelve thousand ninety-seven
Ordinal
12097th
Binary
10111101000001
Octal
27501
Hexadecimal
0x2F41
Base64
L0E=
One's complement
53,438 (16-bit)
Scientific notation
1.2097 × 10⁴
As a duration
12,097 s = 3 hours, 21 minutes, 37 seconds
In other bases
ternary (3) 121121001
quaternary (4) 2331001
quinary (5) 341342
senary (6) 132001
septenary (7) 50161
nonary (9) 17531
undecimal (11) 90a8
duodecimal (12) 7001
tridecimal (13) 5677
tetradecimal (14) 45a1
pentadecimal (15) 38b7

As an angle

12,097° = 33 × 360° + 217°
217° ≈ 3.787 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιβϟζʹ
Mayan (base 20)
𝋡·𝋪·𝋤·𝋱
Chinese
一萬二千零九十七
Chinese (financial)
壹萬貳仟零玖拾柒
In other modern scripts
Eastern Arabic ١٢٠٩٧ Devanagari १२०९७ Bengali ১২০৯৭ Tamil ௧௨௦௯௭ Thai ๑๒๐๙๗ Tibetan ༡༢༠༩༧ Khmer ១២០៩៧ Lao ໑໒໐໙໗ Burmese ၁၂၀၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 12,097 = 6
e — Euler's number (e)
Digit 12,097 = 7
φ — Golden ratio (φ)
Digit 12,097 = 9
√2 — Pythagoras's (√2)
Digit 12,097 = 2
ln 2 — Natural log of 2
Digit 12,097 = 3
γ — Euler-Mascheroni (γ)
Digit 12,097 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,073 (gap of 24)
  • Next prime: 12,101 (gap of 4)

Pair status: cousin with 12101.

Unicode codepoint
Kangxi Radical Rap
U+2F41
Other symbol (So)

UTF-8 encoding: E2 BD 81 (3 bytes).

Hex color
#002F41
RGB(0, 47, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.65.

Address
0.0.47.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.47.65

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

Musical pitch

Heard as a frequency, 12,097 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +37¢)
  • Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -25¢)
  • Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +38¢)
Position in π

The digit sequence 12097 first appears in π at position 39,215 of the decimal expansion (the 39,215ordinal-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.