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Number

11,987

11,987 is a prime, odd.

11,987 (eleven thousand nine hundred eighty-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2ED3.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
26
Digit product
504
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
78,911
Recamán's sequence
a(22,810) = 11,987
Square (n²)
143,688,169
Cube (n³)
1,722,390,081,803
Divisor count
2
σ(n) — sum of divisors
11,988
φ(n) — Euler's totient
11,986

Primality

11,987 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 11987
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 11,987)
1 × 11987
First multiples
11,987 · 23,974 (double) · 35,961 · 47,948 · 59,935 · 71,922 · 83,909 · 95,896 · 107,883 · 119,870

Sums & aliquot sequence

As consecutive integers: 5,993 + 5,994

Continued fraction of √n

√11,987 = [109; (2, 16, 2, 1, 8, 1, 5, 1, 1, 5, 4, 2, 11, 12, 1, 3, 1, 5, 8, 4, 109, 4, 8, 5, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
eleven thousand nine hundred eighty-seven
Ordinal
11987th
Binary
10111011010011
Octal
27323
Hexadecimal
0x2ED3
Base64
LtM=
One's complement
53,548 (16-bit)
Scientific notation
1.1987 × 10⁴
As a duration
11,987 s = 3 hours, 19 minutes, 47 seconds
In other bases
ternary (3) 121102222
quaternary (4) 2323103
quinary (5) 340422
senary (6) 131255
septenary (7) 46643
nonary (9) 17388
undecimal (11) 9008
duodecimal (12) 6b2b
tridecimal (13) 55c1
tetradecimal (14) 4523
pentadecimal (15) 3842

As an angle

11,987° = 33 × 360° + 107°
107° ≈ 1.868 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιαϡπζʹ
Mayan (base 20)
𝋡·𝋩·𝋳·𝋧
Chinese
一萬一千九百八十七
Chinese (financial)
壹萬壹仟玖佰捌拾柒
In other modern scripts
Eastern Arabic ١١٩٨٧ Devanagari ११९८७ Bengali ১১৯৮৭ Tamil ௧௧௯௮௭ Thai ๑๑๙๘๗ Tibetan ༡༡༩༨༧ Khmer ១១៩៨៧ Lao ໑໑໙໘໗ Burmese ၁၁၉၈၇

Digit at this position in famous constants

π — Pi (π)
Digit 11,987 = 3
e — Euler's number (e)
Digit 11,987 = 4
φ — Golden ratio (φ)
Digit 11,987 = 1
√2 — Pythagoras's (√2)
Digit 11,987 = 6
ln 2 — Natural log of 2
Digit 11,987 = 3
γ — Euler-Mascheroni (γ)
Digit 11,987 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 11,981 (gap of 6)
  • Next prime: 12,007 (gap of 20)

Pair status: sexy with 11981.

Unicode codepoint
CJK Radical C-Simplified Long
U+2ED3
Other symbol (So)

UTF-8 encoding: E2 BB 93 (3 bytes).

Hex color
#002ED3
RGB(0, 46, 211)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.46.211.

Address
0.0.46.211
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.46.211

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

Musical pitch

Heard as a frequency, 11,987 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +21¢)
  • Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -41¢)
  • Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +23¢)
Position in π

The digit sequence 11987 first appears in π at position 110,107 of the decimal expansion (the 110,107ordinal-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.