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998,800

998,800 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.).

998,800 (nine hundred ninety-eight thousand eight hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 11 × 227. Its proper divisors sum to 1,630,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3D90.

Abundant Number Flippable Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
34
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
8,899
Flips to (rotate 180°)
8,866
Square (n²)
997,601,440,000
Cube (n³)
996,404,318,272,000,000
Divisor count
60
σ(n) — sum of divisors
2,629,296
φ(n) — Euler's totient
361,600
Sum of prime factors
256

Primality

Prime factorization: 2 4 × 5 2 × 11 × 227

Nearest primes: 998,779 (−21) · 998,813 (+13)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 25 · 40 · 44 · 50 · 55 · 80 · 88 · 100 · 110 · 176 · 200 · 220 · 227 · 275 · 400 · 440 · 454 · 550 · 880 · 908 · 1100 · 1135 · 1816 · 2200 · 2270 · 2497 · 3632 · 4400 · 4540 · 4994 · 5675 · 9080 · 9988 · 11350 · 12485 · 18160 · 19976 · 22700 · 24970 · 39952 · 45400 · 49940 · 62425 · 90800 · 99880 · 124850 · 199760 · 249700 · 499400 (half) · 998800
Aliquot sum (sum of proper divisors): 1,630,496
Factor pairs (a × b = 998,800)
1 × 998800
2 × 499400
4 × 249700
5 × 199760
8 × 124850
10 × 99880
11 × 90800
16 × 62425
20 × 49940
22 × 45400
25 × 39952
40 × 24970
44 × 22700
50 × 19976
55 × 18160
80 × 12485
88 × 11350
100 × 9988
110 × 9080
176 × 5675
200 × 4994
220 × 4540
227 × 4400
275 × 3632
400 × 2497
440 × 2270
454 × 2200
550 × 1816
880 × 1135
908 × 1100
First multiples
998,800 · 1,997,600 (double) · 2,996,400 · 3,995,200 · 4,994,000 · 5,992,800 · 6,991,600 · 7,990,400 · 8,989,200 · 9,988,000

Sums & aliquot sequence

As consecutive integers: 199,758 + 199,759 + 199,760 + 199,761 + 199,762 90,795 + 90,796 + … + 90,805 39,940 + 39,941 + … + 39,964 31,197 + 31,198 + … + 31,228
Aliquot sequence: 998,800 1,630,496 2,179,744 2,876,384 3,595,984 4,472,944 5,431,680 14,617,440 35,269,488 68,137,088 77,219,032 92,608,808 84,309,772 63,304,044 84,561,156 141,701,244 196,260,996 — unresolved within range

Continued fraction of √n

√998,800 = [999; (2, 1, 1, 221, 2, 21, 1, 23, 1, 2, 1, 1, 2, 2, 9, 2, 1, 1, 1, 2, 1, 11, 9, 1, …)]

Representations

In words
nine hundred ninety-eight thousand eight hundred
Ordinal
998800th
Binary
11110011110110010000
Octal
3636620
Hexadecimal
0xF3D90
Base64
Dz2Q
One's complement
4,293,968,495 (32-bit)
Scientific notation
9.988 × 10⁵
As a duration
998,800 s = 11 days, 13 hours, 26 minutes, 40 seconds
In other bases
ternary (3) 1212202002121
quaternary (4) 3303312100
quinary (5) 223430200
senary (6) 33224024
septenary (7) 11326645
nonary (9) 1782077
undecimal (11) 622460
duodecimal (12) 402014
tridecimal (13) 28c80a
tetradecimal (14) 1bddcc
pentadecimal (15) 14ae1a

As an angle

998,800° = 2,774 × 360° + 160°
160° ≈ 2.793 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ϡϟηωʹ
Chinese
九十九萬八千八百
Chinese (financial)
玖拾玖萬捌仟捌佰
In other modern scripts
Eastern Arabic ٩٩٨٨٠٠ Devanagari ९९८८०० Bengali ৯৯৮৮০০ Tamil ௯௯௮௮௦௦ Thai ๙๙๘๘๐๐ Tibetan ༩༩༨༨༠༠ Khmer ៩៩៨៨០០ Lao ໙໙໘໘໐໐ Burmese ၉၉၈၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998800, here are decompositions:

  • 41 + 998759 = 998800
  • 83 + 998717 = 998800
  • 113 + 998687 = 998800
  • 149 + 998651 = 998800
  • 167 + 998633 = 998800
  • 239 + 998561 = 998800
  • 263 + 998537 = 998800
  • 389 + 998411 = 998800

Showing the first eight; more decompositions exist.

Hex color
#0F3D90
RGB(15, 61, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.144.

Address
0.15.61.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.61.144

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 998,800 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 998800 first appears in π at position 359,531 of the decimal expansion (the 359,531ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.