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990,084

990,084 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.).

990,084 (nine hundred ninety thousand eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 82,507. Its proper divisors sum to 1,320,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1B84.

Abundant Number Cube-Free Evil Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
480,099
Square (n²)
980,266,327,056
Cube (n³)
970,546,006,156,912,704
Divisor count
12
σ(n) — sum of divisors
2,310,224
φ(n) — Euler's totient
330,024
Sum of prime factors
82,514

Primality

Prime factorization: 2 2 × 3 × 82507

Nearest primes: 990,053 (−31) · 990,137 (+53)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 82507 · 165014 · 247521 · 330028 · 495042 (half) · 990084
Aliquot sum (sum of proper divisors): 1,320,140
Factor pairs (a × b = 990,084)
1 × 990084
2 × 495042
3 × 330028
4 × 247521
6 × 165014
12 × 82507
First multiples
990,084 · 1,980,168 (double) · 2,970,252 · 3,960,336 · 4,950,420 · 5,940,504 · 6,930,588 · 7,920,672 · 8,910,756 · 9,900,840

Sums & aliquot sequence

As consecutive integers: 330,027 + 330,028 + 330,029 123,757 + 123,758 + … + 123,764 41,242 + 41,243 + … + 41,265
Aliquot sequence: 990,084 1,320,140 1,477,060 2,212,220 2,523,364 1,892,530 1,514,042 762,490 610,010 488,026 424,934 212,470 169,994 108,214 56,954 28,480 40,100 — unresolved within range

Continued fraction of √n

√990,084 = [995; (33, 1, 2, 1, 2, 3, 1, 2, 7, 2, 3, 1, 9, 1, 1, 2, 3, 7, 4, 1, 1, 1, 4, 1, …)]

Representations

In words
nine hundred ninety thousand eighty-four
Ordinal
990084th
Binary
11110001101110000100
Octal
3615604
Hexadecimal
0xF1B84
Base64
DxuE
One's complement
4,293,977,211 (32-bit)
Scientific notation
9.90084 × 10⁵
As a duration
990,084 s = 11 days, 11 hours, 1 minute, 24 seconds
In other bases
ternary (3) 1212022010210
quaternary (4) 3301232010
quinary (5) 223140314
senary (6) 33115420
septenary (7) 11262354
nonary (9) 1768123
undecimal (11) 616957
duodecimal (12) 3b8b70
tridecimal (13) 288864
tetradecimal (14) 1bab64
pentadecimal (15) 148559

As an angle

990,084° = 2,750 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟπδʹ
Chinese
九十九萬零八十四
Chinese (financial)
玖拾玖萬零捌拾肆
In other modern scripts
Eastern Arabic ٩٩٠٠٨٤ Devanagari ९९००८४ Bengali ৯৯০০৮৪ Tamil ௯௯௦௦௮௪ Thai ๙๙๐๐๘๔ Tibetan ༩༩༠༠༨༤ Khmer ៩៩០០៨៤ Lao ໙໙໐໐໘໔ Burmese ၉၉၀၀၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990084, here are decompositions:

  • 31 + 990053 = 990084
  • 41 + 990043 = 990084
  • 47 + 990037 = 990084
  • 61 + 990023 = 990084
  • 71 + 990013 = 990084
  • 83 + 990001 = 990084
  • 103 + 989981 = 990084
  • 107 + 989977 = 990084

Showing the first eight; more decompositions exist.

Hex color
#0F1B84
RGB(15, 27, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.27.132.

Address
0.15.27.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.27.132

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 990,084 and was likely granted around 1911.

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

Position in π

The digit sequence 990084 first appears in π at position 408,804 of the decimal expansion (the 408,804ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.