number.wiki
Live analysis

998,640

998,640 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.).

998,640 (nine hundred ninety-eight thousand six hundred forty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 19 × 73. Its proper divisors sum to 2,580,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3CF0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
46,899
Square (n²)
997,281,849,600
Cube (n³)
995,925,546,284,544,000
Divisor count
120
σ(n) — sum of divisors
3,578,640
φ(n) — Euler's totient
248,832
Sum of prime factors
111

Primality

Prime factorization: 2 4 × 3 2 × 5 × 19 × 73

Nearest primes: 998,633 (−7) · 998,651 (+11)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 19 · 20 · 24 · 30 · 36 · 38 · 40 · 45 · 48 · 57 · 60 · 72 · 73 · 76 · 80 · 90 · 95 · 114 · 120 · 144 · 146 · 152 · 171 · 180 · 190 · 219 · 228 · 240 · 285 · 292 · 304 · 342 · 360 · 365 · 380 · 438 · 456 · 570 · 584 · 657 · 684 · 720 · 730 · 760 · 855 · 876 · 912 · 1095 · 1140 · 1168 · 1314 · 1368 · 1387 · 1460 · 1520 · 1710 · 1752 · 2190 · 2280 · 2628 · 2736 · 2774 · 2920 · 3285 · 3420 · 3504 · 4161 · 4380 · 4560 · 5256 · 5548 · 5840 · 6570 · 6840 · 6935 · 8322 · 8760 · 10512 · 11096 · 12483 · 13140 · 13680 · 13870 · 16644 · 17520 · 20805 · 22192 · 24966 · 26280 · 27740 · 33288 · 41610 · 49932 · 52560 · 55480 · 62415 · 66576 · 83220 · 99864 · 110960 · 124830 · 166440 · 199728 · 249660 · 332880 · 499320 (half) · 998640
Aliquot sum (sum of proper divisors): 2,580,000
Factor pairs (a × b = 998,640)
1 × 998640
2 × 499320
3 × 332880
4 × 249660
5 × 199728
6 × 166440
8 × 124830
9 × 110960
10 × 99864
12 × 83220
15 × 66576
16 × 62415
18 × 55480
19 × 52560
20 × 49932
24 × 41610
30 × 33288
36 × 27740
38 × 26280
40 × 24966
45 × 22192
48 × 20805
57 × 17520
60 × 16644
72 × 13870
73 × 13680
76 × 13140
80 × 12483
90 × 11096
95 × 10512
114 × 8760
120 × 8322
144 × 6935
146 × 6840
152 × 6570
171 × 5840
180 × 5548
190 × 5256
219 × 4560
228 × 4380
240 × 4161
285 × 3504
292 × 3420
304 × 3285
342 × 2920
360 × 2774
365 × 2736
380 × 2628
438 × 2280
456 × 2190
570 × 1752
584 × 1710
657 × 1520
684 × 1460
720 × 1387
730 × 1368
760 × 1314
855 × 1168
876 × 1140
912 × 1095
First multiples
998,640 · 1,997,280 (double) · 2,995,920 · 3,994,560 · 4,993,200 · 5,991,840 · 6,990,480 · 7,989,120 · 8,987,760 · 9,986,400

Sums & aliquot sequence

As consecutive integers: 332,879 + 332,880 + 332,881 199,726 + 199,727 + 199,728 + 199,729 + 199,730 110,956 + 110,957 + … + 110,964 66,569 + 66,570 + … + 66,583
Aliquot sequence: 998,640 2,580,000 6,079,728 10,312,080 21,656,112 35,006,928 63,650,448 134,015,472 254,944,008 501,194,232 1,191,168,648 2,224,686,132 3,643,328,748 4,858,869,012 7,081,495,788 9,998,221,076 8,487,128,044 — unresolved within range

Continued fraction of √n

√998,640 = [999; (3, 7, 1, 6, 28, 222, 28, 6, 1, 7, 3, 1998)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand six hundred forty
Ordinal
998640th
Binary
11110011110011110000
Octal
3636360
Hexadecimal
0xF3CF0
Base64
Dzzw
One's complement
4,293,968,655 (32-bit)
Scientific notation
9.9864 × 10⁵
As a duration
998,640 s = 11 days, 13 hours, 24 minutes
In other bases
ternary (3) 1212201212200
quaternary (4) 3303303300
quinary (5) 223424030
senary (6) 33223200
septenary (7) 11326326
nonary (9) 1781780
undecimal (11) 622325
duodecimal (12) 401b00
tridecimal (13) 28c716
tetradecimal (14) 1bdd16
pentadecimal (15) 14ad60

As an angle

998,640° = 2,774 × 360°
0° ≈ 0 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡϟηχμʹ
Chinese
九十九萬八千六百四十
Chinese (financial)
玖拾玖萬捌仟陸佰肆拾
In other modern scripts
Eastern Arabic ٩٩٨٦٤٠ Devanagari ९९८६४० Bengali ৯৯৮৬৪০ Tamil ௯௯௮௬௪௦ Thai ๙๙๘๖๔๐ Tibetan ༩༩༨༦༤༠ Khmer ៩៩៨៦៤០ Lao ໙໙໘໖໔໐ Burmese ၉၉၈၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998640, here are decompositions:

  • 7 + 998633 = 998640
  • 11 + 998629 = 998640
  • 17 + 998623 = 998640
  • 23 + 998617 = 998640
  • 79 + 998561 = 998640
  • 89 + 998551 = 998640
  • 101 + 998539 = 998640
  • 103 + 998537 = 998640

Showing the first eight; more decompositions exist.

Hex color
#0F3CF0
RGB(15, 60, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.240.

Address
0.15.60.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.60.240

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 998,640 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°.