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10,382

10,382 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.).

10,382 (ten thousand three hundred eighty-two) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 29 × 179. Written other ways, in hexadecimal, 0x288E.

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

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
28,301
Recamán's sequence
a(50,755) = 10,382
Square (n²)
107,785,924
Cube (n³)
1,119,033,462,968
Divisor count
8
σ(n) — sum of divisors
16,200
φ(n) — Euler's totient
4,984
Sum of prime factors
210

Primality

Prime factorization: 2 × 29 × 179

Nearest primes: 10,369 (−13) · 10,391 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 29 · 58 · 179 · 358 · 5191 (half) · 10382
Aliquot sum (sum of proper divisors): 5,818
Factor pairs (a × b = 10,382)
1 × 10382
2 × 5191
29 × 358
58 × 179
First multiples
10,382 · 20,764 (double) · 31,146 · 41,528 · 51,910 · 62,292 · 72,674 · 83,056 · 93,438 · 103,820

Sums & aliquot sequence

As consecutive integers: 2,594 + 2,595 + 2,596 + 2,597 344 + 345 + … + 372 32 + 33 + … + 147
Aliquot sequence: 10,382 5,818 2,912 4,144 5,280 12,864 21,680 28,912 31,848 47,832 71,808 148,512 359,520 946,848 1,895,712 4,539,360 12,180,336 — unresolved within range

Continued fraction of √n

√10,382 = [101; (1, 8, 3, 1, 2, 1, 3, 8, 1, 202)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
ten thousand three hundred eighty-two
Ordinal
10382nd
Binary
10100010001110
Octal
24216
Hexadecimal
0x288E
Base64
KI4=
One's complement
55,153 (16-bit)
Scientific notation
1.0382 × 10⁴
As a duration
10,382 s = 2 hours, 53 minutes, 2 seconds
In other bases
ternary (3) 112020112
quaternary (4) 2202032
quinary (5) 313012
senary (6) 120022
septenary (7) 42161
nonary (9) 15215
undecimal (11) 7889
duodecimal (12) 6012
tridecimal (13) 4958
tetradecimal (14) 3ad8
pentadecimal (15) 3122

As an angle

10,382° = 28 × 360° + 302°
302° ≈ 5.271 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιτπβʹ
Mayan (base 20)
𝋡·𝋥·𝋳·𝋢
Chinese
一萬零三百八十二
Chinese (financial)
壹萬零參佰捌拾貳
In other modern scripts
Eastern Arabic ١٠٣٨٢ Devanagari १०३८२ Bengali ১০৩৮২ Tamil ௧௦௩௮௨ Thai ๑๐๓๘๒ Tibetan ༡༠༣༨༢ Khmer ១០៣៨២ Lao ໑໐໓໘໒ Burmese ၁၀၃၈၂

Digit at this position in famous constants

π — Pi (π)
Digit 10,382 = 4
e — Euler's number (e)
Digit 10,382 = 7
φ — Golden ratio (φ)
Digit 10,382 = 8
√2 — Pythagoras's (√2)
Digit 10,382 = 3
ln 2 — Natural log of 2
Digit 10,382 = 7
γ — Euler-Mascheroni (γ)
Digit 10,382 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10382, here are decompositions:

  • 13 + 10369 = 10382
  • 61 + 10321 = 10382
  • 79 + 10303 = 10382
  • 109 + 10273 = 10382
  • 139 + 10243 = 10382
  • 223 + 10159 = 10382
  • 241 + 10141 = 10382
  • 271 + 10111 = 10382

Showing the first eight; more decompositions exist.

Unicode codepoint
Braille Pattern Dots-2348
U+288E
Other symbol (So)

UTF-8 encoding: E2 A2 8E (3 bytes).

Hex color
#00288E
RGB(0, 40, 142)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.142.

Address
0.0.40.142
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.40.142

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

Musical pitch

Heard as a frequency, 10,382 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -27¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +10¢)
  • Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -26¢)
Position in π

The digit sequence 10382 first appears in π at position 9,625 of the decimal expansion (the 9,625ordinal-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

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