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100,084

100,084 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.).
Arithmetic Number Deficient Number Odious Number

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
480,001
Square (n²)
10,016,807,056
Cube (n³)
1,002,522,117,392,704
Divisor count
12
σ(n) — sum of divisors
177,408
φ(n) — Euler's totient
49,400
Sum of prime factors
326

Primality

Prime factorization: 2 2 × 131 × 191

Nearest primes: 100,069 (−15) · 100,103 (+19)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 131 · 191 · 262 · 382 · 524 · 764 · 25021 · 50042 (half) · 100084
Aliquot sum (sum of proper divisors): 77,324
Factor pairs (a × b = 100,084)
1 × 100084
2 × 50042
4 × 25021
131 × 764
191 × 524
262 × 382
First multiples
100,084 · 200,168 (double) · 300,252 · 400,336 · 500,420 · 600,504 · 700,588 · 800,672 · 900,756 · 1,000,840

Sums & aliquot sequence

As consecutive integers: 12,507 + 12,508 + … + 12,514 699 + 700 + … + 829 429 + 430 + … + 619
Aliquot sequence: 100,084 77,324 68,500 82,196 61,654 34,106 17,056 19,988 16,972 12,736 12,664 11,096 11,104 10,820 11,944 10,466 5,236 — unresolved within range

Representations

In words
one hundred thousand eighty-four
Ordinal
100084th
Binary
11000011011110100
Octal
303364
Hexadecimal
0x186F4
Base64
AYb0
One's complement
4,294,867,211 (32-bit)
In other bases
ternary (3) 12002021211
quaternary (4) 120123310
quinary (5) 11200314
senary (6) 2051204
septenary (7) 564535
nonary (9) 162254
undecimal (11) 69216
duodecimal (12) 49b04
tridecimal (13) 3672a
tetradecimal (14) 2868c
pentadecimal (15) 1e9c4

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρπδʹ
Mayan (base 20)
𝋬·𝋪·𝋤·𝋤
Chinese
一十萬零八十四
Chinese (financial)
壹拾萬零捌拾肆
In other modern scripts
Eastern Arabic ١٠٠٠٨٤ Devanagari १०००८४ Bengali ১০০০৮৪ Tamil ௧௦௦௦௮௪ Thai ๑๐๐๐๘๔ Tibetan ༡༠༠༠༨༤ Khmer ១០០០៨៤ Lao ໑໐໐໐໘໔ Burmese ၁၀၀၀၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100084, here are decompositions:

  • 41 + 100043 = 100084
  • 113 + 99971 = 100084
  • 251 + 99833 = 100084
  • 317 + 99767 = 100084
  • 461 + 99623 = 100084
  • 503 + 99581 = 100084
  • 521 + 99563 = 100084
  • 557 + 99527 = 100084

Showing the first eight; more decompositions exist.

Unicode codepoint
𘛴
Tangut Ideograph-186F4
U+186F4
Other letter (Lo)

UTF-8 encoding: F0 98 9B B4 (4 bytes).

Hex color
#0186F4
RGB(1, 134, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.134.244.

Address
0.1.134.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.134.244

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 100,084 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 100084 first appears in π at position 678,996 of the decimal expansion (the 678,996ordinal-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.