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998,844

998,844 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.).

998,844 (nine hundred ninety-eight thousand eight hundred forty-four) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 7 × 11 × 23 × 47. Its proper divisors sum to 2,097,732, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3DBC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
42
Digit product
82,944
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
448,899
Square (n²)
997,689,336,336
Cube (n³)
996,536,007,463,195,584
Divisor count
96
σ(n) — sum of divisors
3,096,576
φ(n) — Euler's totient
242,880
Sum of prime factors
95

Primality

Prime factorization: 2 2 × 3 × 7 × 11 × 23 × 47

Nearest primes: 998,843 (−1) · 998,857 (+13)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 11 · 12 · 14 · 21 · 22 · 23 · 28 · 33 · 42 · 44 · 46 · 47 · 66 · 69 · 77 · 84 · 92 · 94 · 132 · 138 · 141 · 154 · 161 · 188 · 231 · 253 · 276 · 282 · 308 · 322 · 329 · 462 · 483 · 506 · 517 · 564 · 644 · 658 · 759 · 924 · 966 · 987 · 1012 · 1034 · 1081 · 1316 · 1518 · 1551 · 1771 · 1932 · 1974 · 2068 · 2162 · 3036 · 3102 · 3243 · 3542 · 3619 · 3948 · 4324 · 5313 · 6204 · 6486 · 7084 · 7238 · 7567 · 10626 · 10857 · 11891 · 12972 · 14476 · 15134 · 21252 · 21714 · 22701 · 23782 · 30268 · 35673 · 43428 · 45402 · 47564 · 71346 · 83237 · 90804 · 142692 · 166474 · 249711 · 332948 · 499422 (half) · 998844
Aliquot sum (sum of proper divisors): 2,097,732
Factor pairs (a × b = 998,844)
1 × 998844
2 × 499422
3 × 332948
4 × 249711
6 × 166474
7 × 142692
11 × 90804
12 × 83237
14 × 71346
21 × 47564
22 × 45402
23 × 43428
28 × 35673
33 × 30268
42 × 23782
44 × 22701
46 × 21714
47 × 21252
66 × 15134
69 × 14476
77 × 12972
84 × 11891
92 × 10857
94 × 10626
132 × 7567
138 × 7238
141 × 7084
154 × 6486
161 × 6204
188 × 5313
231 × 4324
253 × 3948
276 × 3619
282 × 3542
308 × 3243
322 × 3102
329 × 3036
462 × 2162
483 × 2068
506 × 1974
517 × 1932
564 × 1771
644 × 1551
658 × 1518
759 × 1316
924 × 1081
966 × 1034
987 × 1012
First multiples
998,844 · 1,997,688 (double) · 2,996,532 · 3,995,376 · 4,994,220 · 5,993,064 · 6,991,908 · 7,990,752 · 8,989,596 · 9,988,440

Sums & aliquot sequence

As consecutive integers: 332,947 + 332,948 + 332,949 142,689 + 142,690 + … + 142,695 124,852 + 124,853 + … + 124,859 90,799 + 90,800 + … + 90,809
Aliquot sequence: 998,844 2,097,732 4,337,340 10,177,860 25,368,252 47,925,444 80,330,684 80,529,316 84,884,380 119,812,196 119,812,252 136,936,268 151,351,732 157,781,708 158,327,764 159,470,444 168,092,596 — unresolved within range

Continued fraction of √n

√998,844 = [999; (2, 2, 1, 2, 3, 5, 2, 79, 2, 79, 2, 5, 3, 2, 1, 2, 2, 1998)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand eight hundred forty-four
Ordinal
998844th
Binary
11110011110110111100
Octal
3636674
Hexadecimal
0xF3DBC
Base64
Dz28
One's complement
4,293,968,451 (32-bit)
Scientific notation
9.98844 × 10⁵
As a duration
998,844 s = 11 days, 13 hours, 27 minutes, 24 seconds
In other bases
ternary (3) 1212202011020
quaternary (4) 3303312330
quinary (5) 223430334
senary (6) 33224140
septenary (7) 11330040
nonary (9) 1782136
undecimal (11) 6224a0
duodecimal (12) 402050
tridecimal (13) 28c842
tetradecimal (14) 1c0020
pentadecimal (15) 14ae49

As an angle

998,844° = 2,774 × 360° + 204°
204° ≈ 3.56 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηωμδʹ
Chinese
九十九萬八千八百四十四
Chinese (financial)
玖拾玖萬捌仟捌佰肆拾肆
In other modern scripts
Eastern Arabic ٩٩٨٨٤٤ Devanagari ९९८८४४ Bengali ৯৯৮৮৪৪ Tamil ௯௯௮௮௪௪ Thai ๙๙๘๘๔๔ Tibetan ༩༩༨༨༤༤ Khmer ៩៩៨៨៤៤ Lao ໙໙໘໘໔໔ Burmese ၉၉၈၈၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998844, here are decompositions:

  • 5 + 998839 = 998844
  • 13 + 998831 = 998844
  • 31 + 998813 = 998844
  • 101 + 998743 = 998844
  • 107 + 998737 = 998844
  • 127 + 998717 = 998844
  • 157 + 998687 = 998844
  • 163 + 998681 = 998844

Showing the first eight; more decompositions exist.

Hex color
#0F3DBC
RGB(15, 61, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.188.

Address
0.15.61.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.61.188

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 998,844 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°.