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998,200

998,200 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.).

998,200 (nine hundred ninety-eight thousand two hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 5² × 7 × 23 × 31. Its proper divisors sum to 1,858,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3B38.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
2,899
Square (n²)
996,403,240,000
Cube (n³)
994,609,714,168,000,000
Divisor count
96
σ(n) — sum of divisors
2,856,960
φ(n) — Euler's totient
316,800
Sum of prime factors
77

Primality

Prime factorization: 2 3 × 5 2 × 7 × 23 × 31

Nearest primes: 998,197 (−3) · 998,201 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 23 · 25 · 28 · 31 · 35 · 40 · 46 · 50 · 56 · 62 · 70 · 92 · 100 · 115 · 124 · 140 · 155 · 161 · 175 · 184 · 200 · 217 · 230 · 248 · 280 · 310 · 322 · 350 · 434 · 460 · 575 · 620 · 644 · 700 · 713 · 775 · 805 · 868 · 920 · 1085 · 1150 · 1240 · 1288 · 1400 · 1426 · 1550 · 1610 · 1736 · 2170 · 2300 · 2852 · 3100 · 3220 · 3565 · 4025 · 4340 · 4600 · 4991 · 5425 · 5704 · 6200 · 6440 · 7130 · 8050 · 8680 · 9982 · 10850 · 14260 · 16100 · 17825 · 19964 · 21700 · 24955 · 28520 · 32200 · 35650 · 39928 · 43400 · 49910 · 71300 · 99820 · 124775 · 142600 · 199640 · 249550 · 499100 (half) · 998200
Aliquot sum (sum of proper divisors): 1,858,760
Factor pairs (a × b = 998,200)
1 × 998200
2 × 499100
4 × 249550
5 × 199640
7 × 142600
8 × 124775
10 × 99820
14 × 71300
20 × 49910
23 × 43400
25 × 39928
28 × 35650
31 × 32200
35 × 28520
40 × 24955
46 × 21700
50 × 19964
56 × 17825
62 × 16100
70 × 14260
92 × 10850
100 × 9982
115 × 8680
124 × 8050
140 × 7130
155 × 6440
161 × 6200
175 × 5704
184 × 5425
200 × 4991
217 × 4600
230 × 4340
248 × 4025
280 × 3565
310 × 3220
322 × 3100
350 × 2852
434 × 2300
460 × 2170
575 × 1736
620 × 1610
644 × 1550
700 × 1426
713 × 1400
775 × 1288
805 × 1240
868 × 1150
920 × 1085
First multiples
998,200 · 1,996,400 (double) · 2,994,600 · 3,992,800 · 4,991,000 · 5,989,200 · 6,987,400 · 7,985,600 · 8,983,800 · 9,982,000

Sums & aliquot sequence

As consecutive integers: 199,638 + 199,639 + 199,640 + 199,641 + 199,642 142,597 + 142,598 + … + 142,603 62,380 + 62,381 + … + 62,395 43,389 + 43,390 + … + 43,411
Aliquot sequence: 998,200 1,858,760 2,461,240 3,229,640 4,088,440 5,328,440 7,584,040 11,467,160 14,450,680 20,541,320 25,676,740 30,589,820 33,938,980 39,072,980 45,550,636 34,284,476 25,713,364 — unresolved within range

Continued fraction of √n

√998,200 = [999; (10, 24, 1, 1, 3, 8, 1, 1, 2, 9, 1, 1, 2, 8, 2, 16, 23, 1, 2, 1, 2, 79, 1, 1, …)]

Representations

In words
nine hundred ninety-eight thousand two hundred
Ordinal
998200th
Binary
11110011101100111000
Octal
3635470
Hexadecimal
0xF3B38
Base64
Dzs4
One's complement
4,293,969,095 (32-bit)
Scientific notation
9.982 × 10⁵
As a duration
998,200 s = 11 days, 13 hours, 16 minutes, 40 seconds
In other bases
ternary (3) 1212201021101
quaternary (4) 3303230320
quinary (5) 223420300
senary (6) 33221144
septenary (7) 11325130
nonary (9) 1781241
undecimal (11) 621a65
duodecimal (12) 4017b4
tridecimal (13) 28c468
tetradecimal (14) 1bdac0
pentadecimal (15) 14ab6a

As an angle

998,200° = 2,772 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ϡϟησʹ
Chinese
九十九萬八千二百
Chinese (financial)
玖拾玖萬捌仟貳佰
In other modern scripts
Eastern Arabic ٩٩٨٢٠٠ Devanagari ९९८२०० Bengali ৯৯৮২০০ Tamil ௯௯௮௨௦௦ Thai ๙๙๘๒๐๐ Tibetan ༩༩༨༢༠༠ Khmer ៩៩៨២០០ Lao ໙໙໘໒໐໐ Burmese ၉၉၈၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998200, here are decompositions:

  • 3 + 998197 = 998200
  • 53 + 998147 = 998200
  • 83 + 998117 = 998200
  • 89 + 998111 = 998200
  • 131 + 998069 = 998200
  • 173 + 998027 = 998200
  • 191 + 998009 = 998200
  • 227 + 997973 = 998200

Showing the first eight; more decompositions exist.

Hex color
#0F3B38
RGB(15, 59, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.56.

Address
0.15.59.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.59.56

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 998,200 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°.