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998,440

998,440 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.).

998,440 (nine hundred ninety-eight thousand four hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 109 × 229. Its proper divisors sum to 1,278,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3C28.

Abundant Number Evil Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
34
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
44,899
Square (n²)
996,882,433,600
Cube (n³)
995,327,297,003,584,000
Divisor count
32
σ(n) — sum of divisors
2,277,000
φ(n) — Euler's totient
393,984
Sum of prime factors
349

Primality

Prime factorization: 2 3 × 5 × 109 × 229

Nearest primes: 998,429 (−11) · 998,443 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 109 · 218 · 229 · 436 · 458 · 545 · 872 · 916 · 1090 · 1145 · 1832 · 2180 · 2290 · 4360 · 4580 · 9160 · 24961 · 49922 · 99844 · 124805 · 199688 · 249610 · 499220 (half) · 998440
Aliquot sum (sum of proper divisors): 1,278,560
Factor pairs (a × b = 998,440)
1 × 998440
2 × 499220
4 × 249610
5 × 199688
8 × 124805
10 × 99844
20 × 49922
40 × 24961
109 × 9160
218 × 4580
229 × 4360
436 × 2290
458 × 2180
545 × 1832
872 × 1145
916 × 1090
First multiples
998,440 · 1,996,880 (double) · 2,995,320 · 3,993,760 · 4,992,200 · 5,990,640 · 6,989,080 · 7,987,520 · 8,985,960 · 9,984,400

Sums & aliquot sequence

As a sum of two squares: 102² + 994² = 162² + 986² = 462² + 886² = 678² + 734²
As consecutive integers: 199,686 + 199,687 + 199,688 + 199,689 + 199,690 62,395 + 62,396 + … + 62,410 12,441 + 12,442 + … + 12,520 9,106 + 9,107 + … + 9,214
Aliquot sequence: 998,440 1,278,560 1,814,992 1,701,586 1,004,462 644,050 663,902 339,634 169,820 238,084 282,044 292,516 313,180 438,788 438,844 454,916 560,140 — unresolved within range

Continued fraction of √n

√998,440 = [999; (4, 1, 1, 4, 3, 40, 2, 9, 14, 1, 2, 3, 4, 1, 1, 14, 1, 15, 1, 1, 2, 1, 1, 1, …)]

Representations

In words
nine hundred ninety-eight thousand four hundred forty
Ordinal
998440th
Binary
11110011110000101000
Octal
3636050
Hexadecimal
0xF3C28
Base64
Dzwo
One's complement
4,293,968,855 (32-bit)
Scientific notation
9.9844 × 10⁵
As a duration
998,440 s = 11 days, 13 hours, 20 minutes, 40 seconds
In other bases
ternary (3) 1212201121021
quaternary (4) 3303300220
quinary (5) 223422230
senary (6) 33222224
septenary (7) 11325622
nonary (9) 1781537
undecimal (11) 622163
duodecimal (12) 401974
tridecimal (13) 28c5c1
tetradecimal (14) 1bdc12
pentadecimal (15) 14ac7a

As an angle

998,440° = 2,773 × 360° + 160°
160° ≈ 2.793 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡϟηυμʹ
Chinese
九十九萬八千四百四十
Chinese (financial)
玖拾玖萬捌仟肆佰肆拾
In other modern scripts
Eastern Arabic ٩٩٨٤٤٠ Devanagari ९९८४४० Bengali ৯৯৮৪৪০ Tamil ௯௯௮௪௪௦ Thai ๙๙๘๔๔๐ Tibetan ༩༩༨༤༤༠ Khmer ៩៩៨៤៤០ Lao ໙໙໘໔໔໐ Burmese ၉၉၈၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998440, here are decompositions:

  • 11 + 998429 = 998440
  • 17 + 998423 = 998440
  • 29 + 998411 = 998440
  • 41 + 998399 = 998440
  • 59 + 998381 = 998440
  • 167 + 998273 = 998440
  • 197 + 998243 = 998440
  • 227 + 998213 = 998440

Showing the first eight; more decompositions exist.

Hex color
#0F3C28
RGB(15, 60, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.40.

Address
0.15.60.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.60.40

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 998,440 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°.