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998,460

998,460 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.).

998,460 (nine hundred ninety-eight thousand four hundred sixty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3³ × 5 × 43². Its proper divisors sum to 2,181,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3C3C.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven 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
64,899
Square (n²)
996,922,371,600
Cube (n³)
995,387,111,147,736,000
Divisor count
72
σ(n) — sum of divisors
3,180,240
φ(n) — Euler's totient
260,064
Sum of prime factors
104

Primality

Prime factorization: 2 2 × 3 3 × 5 × 43 2

Nearest primes: 998,443 (−17) · 998,471 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 27 · 30 · 36 · 43 · 45 · 54 · 60 · 86 · 90 · 108 · 129 · 135 · 172 · 180 · 215 · 258 · 270 · 387 · 430 · 516 · 540 · 645 · 774 · 860 · 1161 · 1290 · 1548 · 1849 · 1935 · 2322 · 2580 · 3698 · 3870 · 4644 · 5547 · 5805 · 7396 · 7740 · 9245 · 11094 · 11610 · 16641 · 18490 · 22188 · 23220 · 27735 · 33282 · 36980 · 49923 · 55470 · 66564 · 83205 · 99846 · 110940 · 166410 · 199692 · 249615 · 332820 · 499230 (half) · 998460
Aliquot sum (sum of proper divisors): 2,181,780
Factor pairs (a × b = 998,460)
1 × 998460
2 × 499230
3 × 332820
4 × 249615
5 × 199692
6 × 166410
9 × 110940
10 × 99846
12 × 83205
15 × 66564
18 × 55470
20 × 49923
27 × 36980
30 × 33282
36 × 27735
43 × 23220
45 × 22188
54 × 18490
60 × 16641
86 × 11610
90 × 11094
108 × 9245
129 × 7740
135 × 7396
172 × 5805
180 × 5547
215 × 4644
258 × 3870
270 × 3698
387 × 2580
430 × 2322
516 × 1935
540 × 1849
645 × 1548
774 × 1290
860 × 1161
First multiples
998,460 · 1,996,920 (double) · 2,995,380 · 3,993,840 · 4,992,300 · 5,990,760 · 6,989,220 · 7,987,680 · 8,986,140 · 9,984,600

Sums & aliquot sequence

As consecutive integers: 332,819 + 332,820 + 332,821 199,690 + 199,691 + 199,692 + 199,693 + 199,694 124,804 + 124,805 + … + 124,811 110,936 + 110,937 + … + 110,944
Aliquot sequence: 998,460 2,181,780 5,366,124 8,198,336 8,070,364 6,796,236 9,431,668 8,381,204 9,258,796 6,944,104 6,128,216 5,465,584 5,221,232 5,131,528 4,490,102 2,462,410 1,969,946 — unresolved within range

Continued fraction of √n

√998,460 = [999; (4, 2, 1, 4, 1, 6, 11, 55, 2, 2, 1, 2, 1, 49, 4, 2, 1, 221, 2, 1, 3, 1, 2, 5, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand four hundred sixty
Ordinal
998460th
Binary
11110011110000111100
Octal
3636074
Hexadecimal
0xF3C3C
Base64
Dzw8
One's complement
4,293,968,835 (32-bit)
Scientific notation
9.9846 × 10⁵
As a duration
998,460 s = 11 days, 13 hours, 21 minutes
In other bases
ternary (3) 1212201122000
quaternary (4) 3303300330
quinary (5) 223422320
senary (6) 33222300
septenary (7) 11325651
nonary (9) 1781560
undecimal (11) 622181
duodecimal (12) 401990
tridecimal (13) 28c608
tetradecimal (14) 1bdc28
pentadecimal (15) 14ac90

As an angle

998,460° = 2,773 × 360° + 180°
180° ≈ 3.142 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡϟηυξʹ
Chinese
九十九萬八千四百六十
Chinese (financial)
玖拾玖萬捌仟肆佰陸拾
In other modern scripts
Eastern Arabic ٩٩٨٤٦٠ Devanagari ९९८४६० Bengali ৯৯৮৪৬০ Tamil ௯௯௮௪௬௦ Thai ๙๙๘๔๖๐ Tibetan ༩༩༨༤༦༠ Khmer ៩៩៨៤៦០ Lao ໙໙໘໔໖໐ Burmese ၉၉၈၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998460, here are decompositions:

  • 17 + 998443 = 998460
  • 31 + 998429 = 998460
  • 37 + 998423 = 998460
  • 41 + 998419 = 998460
  • 61 + 998399 = 998460
  • 79 + 998381 = 998460
  • 83 + 998377 = 998460
  • 107 + 998353 = 998460

Showing the first eight; more decompositions exist.

Hex color
#0F3C3C
RGB(15, 60, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.60.

Address
0.15.60.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.60.60

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 998,460 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°.