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10,684

10,684 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.).
Deficient Number Evil Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
48,601
Recamán's sequence
a(50,151) = 10,684
Square (n²)
114,147,856
Cube (n³)
1,219,555,693,504
Divisor count
6
σ(n) — sum of divisors
18,704
φ(n) — Euler's totient
5,340
Sum of prime factors
2,675

Primality

Prime factorization: 2 2 × 2671

Nearest primes: 10,667 (−17) · 10,687 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 2671 · 5342 (half) · 10684
Aliquot sum (sum of proper divisors): 8,020
Factor pairs (a × b = 10,684)
1 × 10684
2 × 5342
4 × 2671
First multiples
10,684 · 21,368 (double) · 32,052 · 42,736 · 53,420 · 64,104 · 74,788 · 85,472 · 96,156 · 106,840

Sums & aliquot sequence

As consecutive integers: 1,332 + 1,333 + … + 1,339
Aliquot sequence: 10,684 8,020 8,864 8,650 7,532 7,588 7,644 14,700 34,776 80,424 137,586 149,838 194,898 230,478 236,082 371,310 519,906 — unresolved within range

Representations

In words
ten thousand six hundred eighty-four
Ordinal
10684th
Binary
10100110111100
Octal
24674
Hexadecimal
0x29BC
Base64
Kbw=
One's complement
54,851 (16-bit)
In other bases
ternary (3) 112122201
quaternary (4) 2212330
quinary (5) 320214
senary (6) 121244
septenary (7) 43102
nonary (9) 15581
undecimal (11) 8033
duodecimal (12) 6224
tridecimal (13) 4b2b
tetradecimal (14) 3c72
pentadecimal (15) 3274

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιχπδʹ
Mayan (base 20)
𝋡·𝋦·𝋮·𝋤
Chinese
一萬零六百八十四
Chinese (financial)
壹萬零陸佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٦٨٤ Devanagari १०६८४ Bengali ১০৬৮৪ Tamil ௧௦௬௮௪ Thai ๑๐๖๘๔ Tibetan ༡༠༦༨༤ Khmer ១០៦៨៤ Lao ໑໐໖໘໔ Burmese ၁၀၆၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,684 = 6
e — Euler's number (e)
Digit 10,684 = 3
φ — Golden ratio (φ)
Digit 10,684 = 5
√2 — Pythagoras's (√2)
Digit 10,684 = 2
ln 2 — Natural log of 2
Digit 10,684 = 9
γ — Euler-Mascheroni (γ)
Digit 10,684 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10684, here are decompositions:

  • 17 + 10667 = 10684
  • 53 + 10631 = 10684
  • 71 + 10613 = 10684
  • 83 + 10601 = 10684
  • 197 + 10487 = 10684
  • 227 + 10457 = 10684
  • 251 + 10433 = 10684
  • 257 + 10427 = 10684

Showing the first eight; more decompositions exist.

Unicode codepoint
Circled Anticlockwise-Rotated Division Sign
U+29BC
Math symbol (Sm)

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

Hex color
#0029BC
RGB(0, 41, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.188.

Address
0.0.41.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.188

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

Position in π

The digit sequence 10684 first appears in π at position 326,259 of the decimal expansion (the 326,259ordinal-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.