number.wiki
Live analysis

998,784

998,784 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.).

998,784 (nine hundred ninety-eight thousand seven hundred eighty-four) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 3³ × 17². Its proper divisors sum to 2,132,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3D80.

Abundant Number Achilles Number Evil Number Powerful Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
45
Digit product
145,152
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
487,899
Square (n²)
997,569,478,656
Cube (n³)
996,356,434,169,954,304
Divisor count
96
σ(n) — sum of divisors
3,131,400
φ(n) — Euler's totient
313,344
Sum of prime factors
57

Primality

Prime factorization: 2 7 × 3 3 × 17 2

Nearest primes: 998,779 (−5) · 998,813 (+29)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 17 · 18 · 24 · 27 · 32 · 34 · 36 · 48 · 51 · 54 · 64 · 68 · 72 · 96 · 102 · 108 · 128 · 136 · 144 · 153 · 192 · 204 · 216 · 272 · 288 · 289 · 306 · 384 · 408 · 432 · 459 · 544 · 576 · 578 · 612 · 816 · 864 · 867 · 918 · 1088 · 1152 · 1156 · 1224 · 1632 · 1728 · 1734 · 1836 · 2176 · 2312 · 2448 · 2601 · 3264 · 3456 · 3468 · 3672 · 4624 · 4896 · 5202 · 6528 · 6936 · 7344 · 7803 · 9248 · 9792 · 10404 · 13872 · 14688 · 15606 · 18496 · 19584 · 20808 · 27744 · 29376 · 31212 · 36992 · 41616 · 55488 · 58752 · 62424 · 83232 · 110976 · 124848 · 166464 · 249696 · 332928 · 499392 (half) · 998784
Aliquot sum (sum of proper divisors): 2,132,616
Factor pairs (a × b = 998,784)
1 × 998784
2 × 499392
3 × 332928
4 × 249696
6 × 166464
8 × 124848
9 × 110976
12 × 83232
16 × 62424
17 × 58752
18 × 55488
24 × 41616
27 × 36992
32 × 31212
34 × 29376
36 × 27744
48 × 20808
51 × 19584
54 × 18496
64 × 15606
68 × 14688
72 × 13872
96 × 10404
102 × 9792
108 × 9248
128 × 7803
136 × 7344
144 × 6936
153 × 6528
192 × 5202
204 × 4896
216 × 4624
272 × 3672
288 × 3468
289 × 3456
306 × 3264
384 × 2601
408 × 2448
432 × 2312
459 × 2176
544 × 1836
576 × 1734
578 × 1728
612 × 1632
816 × 1224
864 × 1156
867 × 1152
918 × 1088
First multiples
998,784 · 1,997,568 (double) · 2,996,352 · 3,995,136 · 4,993,920 · 5,992,704 · 6,991,488 · 7,990,272 · 8,989,056 · 9,987,840

Sums & aliquot sequence

As consecutive integers: 332,927 + 332,928 + 332,929 110,972 + 110,973 + … + 110,980 58,744 + 58,745 + … + 58,760 36,979 + 36,980 + … + 37,005
Aliquot sequence: 998,784 2,132,616 3,513,624 5,318,616 8,067,624 12,101,496 22,354,824 35,461,176 53,876,424 100,056,696 167,022,984 250,852,056 521,007,144 967,585,176 1,750,020,624 3,592,850,208 6,129,684,768 — unresolved within range

Continued fraction of √n

√998,784 = [999; (2, 1, 1, 4, 3, 2, 15, 5, 2, 8, 2, 2, 1, 124, 4, 1, 2, 1, 1, 6, 2, 1, 14, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand seven hundred eighty-four
Ordinal
998784th
Binary
11110011110110000000
Octal
3636600
Hexadecimal
0xF3D80
Base64
Dz2A
One's complement
4,293,968,511 (32-bit)
Scientific notation
9.98784 × 10⁵
As a duration
998,784 s = 11 days, 13 hours, 26 minutes, 24 seconds
In other bases
ternary (3) 1212202002000
quaternary (4) 3303312000
quinary (5) 223430114
senary (6) 33224000
septenary (7) 11326623
nonary (9) 1782060
undecimal (11) 622446
duodecimal (12) 402000
tridecimal (13) 28c7c7
tetradecimal (14) 1bddba
pentadecimal (15) 14ae09

As an angle

998,784° = 2,774 × 360° + 144°
144° ≈ 2.513 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηψπδʹ
Chinese
九十九萬八千七百八十四
Chinese (financial)
玖拾玖萬捌仟柒佰捌拾肆
In other modern scripts
Eastern Arabic ٩٩٨٧٨٤ Devanagari ९९८७८४ Bengali ৯৯৮৭৮৪ Tamil ௯௯௮௭௮௪ Thai ๙๙๘๗๘๔ Tibetan ༩༩༨༧༨༤ Khmer ៩៩៨៧៨៤ Lao ໙໙໘໗໘໔ Burmese ၉၉၈၇၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998784, here are decompositions:

  • 5 + 998779 = 998784
  • 41 + 998743 = 998784
  • 47 + 998737 = 998784
  • 67 + 998717 = 998784
  • 97 + 998687 = 998784
  • 103 + 998681 = 998784
  • 131 + 998653 = 998784
  • 151 + 998633 = 998784

Showing the first eight; more decompositions exist.

Hex color
#0F3D80
RGB(15, 61, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.128.

Address
0.15.61.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.61.128

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 998,784 and was likely granted around 1911.

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

Related reading

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