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998,280

998,280 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.).

998,280 (nine hundred ninety-eight thousand two hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 47 × 59. Its proper divisors sum to 2,371,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3B88.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical 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
82,899
Square (n²)
996,562,958,400
Cube (n³)
994,848,870,111,552,000
Divisor count
96
σ(n) — sum of divisors
3,369,600
φ(n) — Euler's totient
256,128
Sum of prime factors
123

Primality

Prime factorization: 2 3 × 3 2 × 5 × 47 × 59

Nearest primes: 998,273 (−7) · 998,281 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 30 · 36 · 40 · 45 · 47 · 59 · 60 · 72 · 90 · 94 · 118 · 120 · 141 · 177 · 180 · 188 · 235 · 236 · 282 · 295 · 354 · 360 · 376 · 423 · 470 · 472 · 531 · 564 · 590 · 705 · 708 · 846 · 885 · 940 · 1062 · 1128 · 1180 · 1410 · 1416 · 1692 · 1770 · 1880 · 2115 · 2124 · 2360 · 2655 · 2773 · 2820 · 3384 · 3540 · 4230 · 4248 · 5310 · 5546 · 5640 · 7080 · 8319 · 8460 · 10620 · 11092 · 13865 · 16638 · 16920 · 21240 · 22184 · 24957 · 27730 · 33276 · 41595 · 49914 · 55460 · 66552 · 83190 · 99828 · 110920 · 124785 · 166380 · 199656 · 249570 · 332760 · 499140 (half) · 998280
Aliquot sum (sum of proper divisors): 2,371,320
Factor pairs (a × b = 998,280)
1 × 998280
2 × 499140
3 × 332760
4 × 249570
5 × 199656
6 × 166380
8 × 124785
9 × 110920
10 × 99828
12 × 83190
15 × 66552
18 × 55460
20 × 49914
24 × 41595
30 × 33276
36 × 27730
40 × 24957
45 × 22184
47 × 21240
59 × 16920
60 × 16638
72 × 13865
90 × 11092
94 × 10620
118 × 8460
120 × 8319
141 × 7080
177 × 5640
180 × 5546
188 × 5310
235 × 4248
236 × 4230
282 × 3540
295 × 3384
354 × 2820
360 × 2773
376 × 2655
423 × 2360
470 × 2124
472 × 2115
531 × 1880
564 × 1770
590 × 1692
705 × 1416
708 × 1410
846 × 1180
885 × 1128
940 × 1062
First multiples
998,280 · 1,996,560 (double) · 2,994,840 · 3,993,120 · 4,991,400 · 5,989,680 · 6,987,960 · 7,986,240 · 8,984,520 · 9,982,800

Sums & aliquot sequence

As consecutive integers: 332,759 + 332,760 + 332,761 199,654 + 199,655 + 199,656 + 199,657 + 199,658 110,916 + 110,917 + … + 110,924 66,545 + 66,546 + … + 66,559
Aliquot sequence: 998,280 2,371,320 6,445,800 15,207,390 27,929,106 32,583,996 49,781,196 79,281,444 123,056,412 164,255,844 219,007,820 241,189,204 180,891,910 144,872,666 72,634,234 42,726,074 21,363,040 — unresolved within range

Continued fraction of √n

√998,280 = [999; (7, 6, 5, 1, 1, 7, 1, 2, 1, 23, 1, 12, 1, 4, 1, 1, 1, 1, 5, 11, 1, 1, 1, 4, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand two hundred eighty
Ordinal
998280th
Binary
11110011101110001000
Octal
3635610
Hexadecimal
0xF3B88
Base64
DzuI
One's complement
4,293,969,015 (32-bit)
Scientific notation
9.9828 × 10⁵
As a duration
998,280 s = 11 days, 13 hours, 18 minutes
In other bases
ternary (3) 1212201101100
quaternary (4) 3303232020
quinary (5) 223421110
senary (6) 33221400
septenary (7) 11325303
nonary (9) 1781340
undecimal (11) 622028
duodecimal (12) 401860
tridecimal (13) 28c4ca
tetradecimal (14) 1bdb3a
pentadecimal (15) 14abc0

As an angle

998,280° = 2,773 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡϟησπʹ
Chinese
九十九萬八千二百八十
Chinese (financial)
玖拾玖萬捌仟貳佰捌拾
In other modern scripts
Eastern Arabic ٩٩٨٢٨٠ Devanagari ९९८२८० Bengali ৯৯৮২৮০ Tamil ௯௯௮௨௮௦ Thai ๙๙๘๒๘๐ Tibetan ༩༩༨༢༨༠ Khmer ៩៩៨២៨០ Lao ໙໙໘໒໘໐ Burmese ၉၉၈၂၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998280, here are decompositions:

  • 7 + 998273 = 998280
  • 37 + 998243 = 998280
  • 43 + 998237 = 998280
  • 61 + 998219 = 998280
  • 67 + 998213 = 998280
  • 79 + 998201 = 998280
  • 83 + 998197 = 998280
  • 113 + 998167 = 998280

Showing the first eight; more decompositions exist.

Hex color
#0F3B88
RGB(15, 59, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.136.

Address
0.15.59.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.59.136

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 998,280 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°.