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10,084

10,084 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 Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
48,001
Recamán's sequence
a(4,955) = 10,084
Square (n²)
101,687,056
Cube (n³)
1,025,412,272,704
Divisor count
6
σ(n) — sum of divisors
17,654
φ(n) — Euler's totient
5,040
Sum of prime factors
2,525

Primality

Prime factorization: 2 2 × 2521

Nearest primes: 10,079 (−5) · 10,091 (+7)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 2521 · 5042 (half) · 10084
Aliquot sum (sum of proper divisors): 7,570
Factor pairs (a × b = 10,084)
1 × 10084
2 × 5042
4 × 2521
First multiples
10,084 · 20,168 (double) · 30,252 · 40,336 · 50,420 · 60,504 · 70,588 · 80,672 · 90,756 · 100,840

Sums & aliquot sequence

As a sum of two squares: 70² + 72²
As consecutive integers: 1,257 + 1,258 + … + 1,264
Aliquot sequence: 10,084 7,570 6,074 3,040 4,520 5,740 8,372 10,444 10,500 24,444 46,900 71,148 141,120 423,522 682,398 834,162 1,072,590 — unresolved within range

Representations

In words
ten thousand eighty-four
Ordinal
10084th
Binary
10011101100100
Octal
23544
Hexadecimal
0x2764
Base64
J2Q=
One's complement
55,451 (16-bit)
In other bases
ternary (3) 111211111
quaternary (4) 2131210
quinary (5) 310314
senary (6) 114404
septenary (7) 41254
nonary (9) 14744
undecimal (11) 7638
duodecimal (12) 5a04
tridecimal (13) 4789
tetradecimal (14) 3964
pentadecimal (15) 2ec4

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιπδʹ
Mayan (base 20)
𝋡·𝋥·𝋤·𝋤
Chinese
一萬零八十四
Chinese (financial)
壹萬零捌拾肆
In other modern scripts
Eastern Arabic ١٠٠٨٤ Devanagari १००८४ Bengali ১০০৮৪ Tamil ௧௦௦௮௪ Thai ๑๐๐๘๔ Tibetan ༡༠༠༨༤ Khmer ១០០៨៤ Lao ໑໐໐໘໔ Burmese ၁၀၀၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,084 = 7
e — Euler's number (e)
Digit 10,084 = 8
φ — Golden ratio (φ)
Digit 10,084 = 6
√2 — Pythagoras's (√2)
Digit 10,084 = 6
ln 2 — Natural log of 2
Digit 10,084 = 4
γ — Euler-Mascheroni (γ)
Digit 10,084 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10084, here are decompositions:

  • 5 + 10079 = 10084
  • 17 + 10067 = 10084
  • 23 + 10061 = 10084
  • 47 + 10037 = 10084
  • 197 + 9887 = 10084
  • 227 + 9857 = 10084
  • 233 + 9851 = 10084
  • 251 + 9833 = 10084

Showing the first eight; more decompositions exist.

Unicode codepoint
Heavy Black Heart
U+2764
Other symbol (So)

UTF-8 encoding: E2 9D A4 (3 bytes).

Hex color
#002764
RGB(0, 39, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.100.

Address
0.0.39.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.100

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

Position in π

The digit sequence 10084 first appears in π at position 157,431 of the decimal expansion (the 157,431ordinal-suffix:st 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.