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10,982

10,982 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

10,982 (ten thousand nine hundred eighty-two) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2 × 17² × 19. Written other ways, in hexadecimal, 0x2AE6.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
28,901
Recamán's sequence
a(174,295) = 10,982
Square (n²)
120,604,324
Cube (n³)
1,324,476,686,168
Divisor count
12
σ(n) — sum of divisors
18,420
φ(n) — Euler's totient
4,896
Sum of prime factors
55

Primality

Prime factorization: 2 × 17 2 × 19

Nearest primes: 10,979 (−3) · 10,987 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 17 · 19 · 34 · 38 · 289 · 323 · 578 · 646 · 5491 (half) · 10982
Aliquot sum (sum of proper divisors): 7,438
Factor pairs (a × b = 10,982)
1 × 10982
2 × 5491
17 × 646
19 × 578
34 × 323
38 × 289
First multiples
10,982 · 21,964 (double) · 32,946 · 43,928 · 54,910 · 65,892 · 76,874 · 87,856 · 98,838 · 109,820

Sums & aliquot sequence

As consecutive integers: 2,744 + 2,745 + 2,746 + 2,747 638 + 639 + … + 654 569 + 570 + … + 587 128 + 129 + … + 195
Aliquot sequence: 10,982 7,438 3,722 1,864 1,646 826 614 310 266 214 110 106 56 64 63 41 1 — unresolved within range

Continued fraction of √n

√10,982 = [104; (1, 3, 1, 7, 3, 1, 4, 1, 3, 7, 1, 3, 1, 208)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
ten thousand nine hundred eighty-two
Ordinal
10982nd
Binary
10101011100110
Octal
25346
Hexadecimal
0x2AE6
Base64
KuY=
One's complement
54,553 (16-bit)
Scientific notation
1.0982 × 10⁴
As a duration
10,982 s = 3 hours, 3 minutes, 2 seconds
In other bases
ternary (3) 120001202
quaternary (4) 2223212
quinary (5) 322412
senary (6) 122502
septenary (7) 44006
nonary (9) 16052
undecimal (11) 8284
duodecimal (12) 6432
tridecimal (13) 4cca
tetradecimal (14) 4006
pentadecimal (15) 33c2

As an angle

10,982° = 30 × 360° + 182°
182° ≈ 3.176 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιϡπβʹ
Mayan (base 20)
𝋡·𝋧·𝋩·𝋢
Chinese
一萬零九百八十二
Chinese (financial)
壹萬零玖佰捌拾貳
In other modern scripts
Eastern Arabic ١٠٩٨٢ Devanagari १०९८२ Bengali ১০৯৮২ Tamil ௧௦௯௮௨ Thai ๑๐๙๘๒ Tibetan ༡༠༩༨༢ Khmer ១០៩៨២ Lao ໑໐໙໘໒ Burmese ၁၀၉၈၂

Digit at this position in famous constants

π — Pi (π)
Digit 10,982 = 8
e — Euler's number (e)
Digit 10,982 = 7
φ — Golden ratio (φ)
Digit 10,982 = 4
√2 — Pythagoras's (√2)
Digit 10,982 = 4
ln 2 — Natural log of 2
Digit 10,982 = 7
γ — Euler-Mascheroni (γ)
Digit 10,982 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10982, here are decompositions:

  • 3 + 10979 = 10982
  • 43 + 10939 = 10982
  • 73 + 10909 = 10982
  • 79 + 10903 = 10982
  • 151 + 10831 = 10982
  • 193 + 10789 = 10982
  • 211 + 10771 = 10982
  • 229 + 10753 = 10982

Showing the first eight; more decompositions exist.

Unicode codepoint
Long Dash From Left Member Of Double Vertical
U+2AE6
Math symbol (Sm)

UTF-8 encoding: E2 AB A6 (3 bytes).

Hex color
#002AE6
RGB(0, 42, 230)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.230.

Address
0.0.42.230
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.230

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

Musical pitch

Heard as a frequency, 10,982 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -30¢)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, +7¢)
  • Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -29¢)
Position in π

The digit sequence 10982 first appears in π at position 135,133 of the decimal expansion (the 135,133ordinal-suffix:rd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.