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998,184

998,184 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.).

998,184 (nine hundred ninety-eight thousand one hundred eighty-four) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 11 × 19 × 199. Its proper divisors sum to 1,881,816, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3B28.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
39
Digit product
20,736
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
481,899
Square (n²)
996,371,297,856
Cube (n³)
994,561,887,579,093,504
Divisor count
64
σ(n) — sum of divisors
2,880,000
φ(n) — Euler's totient
285,120
Sum of prime factors
238

Primality

Prime factorization: 2 3 × 3 × 11 × 19 × 199

Nearest primes: 998,167 (−17) · 998,197 (+13)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 19 · 22 · 24 · 33 · 38 · 44 · 57 · 66 · 76 · 88 · 114 · 132 · 152 · 199 · 209 · 228 · 264 · 398 · 418 · 456 · 597 · 627 · 796 · 836 · 1194 · 1254 · 1592 · 1672 · 2189 · 2388 · 2508 · 3781 · 4378 · 4776 · 5016 · 6567 · 7562 · 8756 · 11343 · 13134 · 15124 · 17512 · 22686 · 26268 · 30248 · 41591 · 45372 · 52536 · 83182 · 90744 · 124773 · 166364 · 249546 · 332728 · 499092 (half) · 998184
Aliquot sum (sum of proper divisors): 1,881,816
Factor pairs (a × b = 998,184)
1 × 998184
2 × 499092
3 × 332728
4 × 249546
6 × 166364
8 × 124773
11 × 90744
12 × 83182
19 × 52536
22 × 45372
24 × 41591
33 × 30248
38 × 26268
44 × 22686
57 × 17512
66 × 15124
76 × 13134
88 × 11343
114 × 8756
132 × 7562
152 × 6567
199 × 5016
209 × 4776
228 × 4378
264 × 3781
398 × 2508
418 × 2388
456 × 2189
597 × 1672
627 × 1592
796 × 1254
836 × 1194
First multiples
998,184 · 1,996,368 (double) · 2,994,552 · 3,992,736 · 4,990,920 · 5,989,104 · 6,987,288 · 7,985,472 · 8,983,656 · 9,981,840

Sums & aliquot sequence

As consecutive integers: 332,727 + 332,728 + 332,729 90,739 + 90,740 + … + 90,749 62,379 + 62,380 + … + 62,394 52,527 + 52,528 + … + 52,545
Aliquot sequence: 998,184 1,881,816 2,880,984 4,321,536 7,893,408 12,827,040 27,579,648 45,824,480 70,768,864 72,325,304 67,961,296 73,842,996 100,236,364 75,177,280 110,034,440 137,543,140 193,250,204 — unresolved within range

Continued fraction of √n

√998,184 = [999; (10, 1, 11, 3, 1, 1, 1, 3, 11, 1, 10, 1998)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand one hundred eighty-four
Ordinal
998184th
Binary
11110011101100101000
Octal
3635450
Hexadecimal
0xF3B28
Base64
Dzso
One's complement
4,293,969,111 (32-bit)
Scientific notation
9.98184 × 10⁵
As a duration
998,184 s = 11 days, 13 hours, 16 minutes, 24 seconds
In other bases
ternary (3) 1212201020210
quaternary (4) 3303230220
quinary (5) 223420214
senary (6) 33221120
septenary (7) 11325105
nonary (9) 1781223
undecimal (11) 621a50
duodecimal (12) 4017a0
tridecimal (13) 28c455
tetradecimal (14) 1bdaac
pentadecimal (15) 14ab59

As an angle

998,184° = 2,772 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηρπδʹ
Chinese
九十九萬八千一百八十四
Chinese (financial)
玖拾玖萬捌仟壹佰捌拾肆
In other modern scripts
Eastern Arabic ٩٩٨١٨٤ Devanagari ९९८१८४ Bengali ৯৯৮১৮৪ Tamil ௯௯௮௧௮௪ Thai ๙๙๘๑๘๔ Tibetan ༩༩༨༡༨༤ Khmer ៩៩៨១៨៤ Lao ໙໙໘໑໘໔ Burmese ၉၉၈၁၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998184, here are decompositions:

  • 17 + 998167 = 998184
  • 23 + 998161 = 998184
  • 37 + 998147 = 998184
  • 67 + 998117 = 998184
  • 73 + 998111 = 998184
  • 101 + 998083 = 998184
  • 107 + 998077 = 998184
  • 113 + 998071 = 998184

Showing the first eight; more decompositions exist.

Hex color
#0F3B28
RGB(15, 59, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.40.

Address
0.15.59.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.59.40

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 998,184 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 998184 first appears in π at position 63,402 of the decimal expansion (the 63,402ordinal-suffix:nd 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°.