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998,400

998,400 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.).

998,400 (nine hundred ninety-eight thousand four hundred) is an even 6-digit number. It is a composite number with 132 divisors, and factors as 2¹⁰ × 3 × 5² × 13. Its proper divisors sum to 2,555,192, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3C00.

Abundant Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
4,899
Square (n²)
996,802,560,000
Cube (n³)
995,207,675,904,000,000
Divisor count
132
σ(n) — sum of divisors
3,553,592
φ(n) — Euler's totient
245,760
Sum of prime factors
46

Primality

Prime factorization: 2 10 × 3 × 5 2 × 13

Nearest primes: 998,399 (−1) · 998,411 (+11)

Divisors & multiples

All divisors (132)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 20 · 24 · 25 · 26 · 30 · 32 · 39 · 40 · 48 · 50 · 52 · 60 · 64 · 65 · 75 · 78 · 80 · 96 · 100 · 104 · 120 · 128 · 130 · 150 · 156 · 160 · 192 · 195 · 200 · 208 · 240 · 256 · 260 · 300 · 312 · 320 · 325 · 384 · 390 · 400 · 416 · 480 · 512 · 520 · 600 · 624 · 640 · 650 · 768 · 780 · 800 · 832 · 960 · 975 · 1024 · 1040 · 1200 · 1248 · 1280 · 1300 · 1536 · 1560 · 1600 · 1664 · 1920 · 1950 · 2080 · 2400 · 2496 · 2560 · 2600 · 3072 · 3120 · 3200 · 3328 · 3840 · 3900 · 4160 · 4800 · 4992 · 5120 · 5200 · 6240 · 6400 · 6656 · 7680 · 7800 · 8320 · 9600 · 9984 · 10400 · 12480 · 12800 · 13312 · 15360 · 15600 · 16640 · 19200 · 19968 · 20800 · 24960 · 25600 · 31200 · 33280 · 38400 · 39936 · 41600 · 49920 · 62400 · 66560 · 76800 · 83200 · 99840 · 124800 · 166400 · 199680 · 249600 · 332800 · 499200 (half) · 998400
Aliquot sum (sum of proper divisors): 2,555,192
Factor pairs (a × b = 998,400)
1 × 998400
2 × 499200
3 × 332800
4 × 249600
5 × 199680
6 × 166400
8 × 124800
10 × 99840
12 × 83200
13 × 76800
15 × 66560
16 × 62400
20 × 49920
24 × 41600
25 × 39936
26 × 38400
30 × 33280
32 × 31200
39 × 25600
40 × 24960
48 × 20800
50 × 19968
52 × 19200
60 × 16640
64 × 15600
65 × 15360
75 × 13312
78 × 12800
80 × 12480
96 × 10400
100 × 9984
104 × 9600
120 × 8320
128 × 7800
130 × 7680
150 × 6656
156 × 6400
160 × 6240
192 × 5200
195 × 5120
200 × 4992
208 × 4800
240 × 4160
256 × 3900
260 × 3840
300 × 3328
312 × 3200
320 × 3120
325 × 3072
384 × 2600
390 × 2560
400 × 2496
416 × 2400
480 × 2080
512 × 1950
520 × 1920
600 × 1664
624 × 1600
640 × 1560
650 × 1536
768 × 1300
780 × 1280
800 × 1248
832 × 1200
960 × 1040
975 × 1024
First multiples
998,400 · 1,996,800 (double) · 2,995,200 · 3,993,600 · 4,992,000 · 5,990,400 · 6,988,800 · 7,987,200 · 8,985,600 · 9,984,000

Sums & aliquot sequence

As consecutive integers: 332,799 + 332,800 + 332,801 199,678 + 199,679 + 199,680 + 199,681 + 199,682 76,794 + 76,795 + … + 76,806 66,553 + 66,554 + … + 66,567
Aliquot sequence: 998,400 2,555,192 2,235,808 2,213,252 1,704,088 1,506,392 1,318,108 1,287,572 1,360,780 1,648,100 1,928,494 993,194 500,854 294,674 149,854 82,274 45,214 — unresolved within range

Continued fraction of √n

√998,400 = [999; (5, 124, 1, 2, 3, 499, 3, 2, 1, 124, 5, 1998)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand four hundred
Ordinal
998400th
Binary
11110011110000000000
Octal
3636000
Hexadecimal
0xF3C00
Base64
DzwA
One's complement
4,293,968,895 (32-bit)
Scientific notation
9.984 × 10⁵
As a duration
998,400 s = 11 days, 13 hours, 20 minutes
In other bases
ternary (3) 1212201112210
quaternary (4) 3303300000
quinary (5) 223422100
senary (6) 33222120
septenary (7) 11325534
nonary (9) 1781483
undecimal (11) 622127
duodecimal (12) 401940
tridecimal (13) 28c590
tetradecimal (14) 1bdbc4
pentadecimal (15) 14ac50

As an angle

998,400° = 2,773 × 360° + 120°
120° ≈ 2.094 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ϡϟηυʹ
Chinese
九十九萬八千四百
Chinese (financial)
玖拾玖萬捌仟肆佰
In other modern scripts
Eastern Arabic ٩٩٨٤٠٠ Devanagari ९९८४०० Bengali ৯৯৮৪০০ Tamil ௯௯௮௪௦௦ Thai ๙๙๘๔๐๐ Tibetan ༩༩༨༤༠༠ Khmer ៩៩៨៤០០ Lao ໙໙໘໔໐໐ Burmese ၉၉၈၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998400, here are decompositions:

  • 19 + 998381 = 998400
  • 23 + 998377 = 998400
  • 47 + 998353 = 998400
  • 71 + 998329 = 998400
  • 89 + 998311 = 998400
  • 113 + 998287 = 998400
  • 127 + 998273 = 998400
  • 157 + 998243 = 998400

Showing the first eight; more decompositions exist.

Hex color
#0F3C00
RGB(15, 60, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.0.

Address
0.15.60.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.60.0

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 998,400 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°.