number.wiki
Live analysis

998,880

998,880 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.).

998,880 (nine hundred ninety-eight thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 2,081. Its proper divisors sum to 2,149,104, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3DE0.

Abundant Number Arithmetic Number Evil Number Flippable Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
42
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
88,899
Flips to (rotate 180°)
88,866
Square (n²)
997,761,254,400
Cube (n³)
996,643,761,795,072,000
Divisor count
48
σ(n) — sum of divisors
3,147,984
φ(n) — Euler's totient
266,240
Sum of prime factors
2,099

Primality

Prime factorization: 2 5 × 3 × 5 × 2081

Nearest primes: 998,861 (−19) · 998,897 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 80 · 96 · 120 · 160 · 240 · 480 · 2081 · 4162 · 6243 · 8324 · 10405 · 12486 · 16648 · 20810 · 24972 · 31215 · 33296 · 41620 · 49944 · 62430 · 66592 · 83240 · 99888 · 124860 · 166480 · 199776 · 249720 · 332960 · 499440 (half) · 998880
Aliquot sum (sum of proper divisors): 2,149,104
Factor pairs (a × b = 998,880)
1 × 998880
2 × 499440
3 × 332960
4 × 249720
5 × 199776
6 × 166480
8 × 124860
10 × 99888
12 × 83240
15 × 66592
16 × 62430
20 × 49944
24 × 41620
30 × 33296
32 × 31215
40 × 24972
48 × 20810
60 × 16648
80 × 12486
96 × 10405
120 × 8324
160 × 6243
240 × 4162
480 × 2081
First multiples
998,880 · 1,997,760 (double) · 2,996,640 · 3,995,520 · 4,994,400 · 5,993,280 · 6,992,160 · 7,991,040 · 8,989,920 · 9,988,800

Sums & aliquot sequence

As consecutive integers: 332,959 + 332,960 + 332,961 199,774 + 199,775 + 199,776 + 199,777 + 199,778 66,585 + 66,586 + … + 66,599 15,576 + 15,577 + … + 15,639
Aliquot sequence: 998,880 2,149,104 3,402,872 3,557,728 3,547,160 4,552,840 5,933,240 7,416,640 15,516,512 19,782,640 27,803,600 46,923,760 70,568,720 96,295,600 135,055,540 160,893,260 207,699,076 — unresolved within range

Continued fraction of √n

√998,880 = [999; (2, 3, 1, 1, 1, 9, 1, 1, 3, 1, 3, 1, 1, 1, 1, 2, 4, 2, 2, 1, 2, 3, 1, 2, …)]

Representations

In words
nine hundred ninety-eight thousand eight hundred eighty
Ordinal
998880th
Binary
11110011110111100000
Octal
3636740
Hexadecimal
0xF3DE0
Base64
Dz3g
One's complement
4,293,968,415 (32-bit)
Scientific notation
9.9888 × 10⁵
As a duration
998,880 s = 11 days, 13 hours, 28 minutes
In other bases
ternary (3) 1212202012120
quaternary (4) 3303313200
quinary (5) 223431010
senary (6) 33224240
septenary (7) 11330121
nonary (9) 1782176
undecimal (11) 622523
duodecimal (12) 402080
tridecimal (13) 28c86c
tetradecimal (14) 1c0048
pentadecimal (15) 14ae70

As an angle

998,880° = 2,774 × 360° + 240°
240° ≈ 4.189 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡϟηωπʹ
Chinese
九十九萬八千八百八十
Chinese (financial)
玖拾玖萬捌仟捌佰捌拾
In other modern scripts
Eastern Arabic ٩٩٨٨٨٠ Devanagari ९९८८८० Bengali ৯৯৮৮৮০ Tamil ௯௯௮௮௮௦ Thai ๙๙๘๘๘๐ Tibetan ༩༩༨༨༨༠ Khmer ៩៩៨៨៨០ Lao ໙໙໘໘໘໐ Burmese ၉၉၈၈၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998880, here are decompositions:

  • 19 + 998861 = 998880
  • 23 + 998857 = 998880
  • 37 + 998843 = 998880
  • 41 + 998839 = 998880
  • 61 + 998819 = 998880
  • 67 + 998813 = 998880
  • 101 + 998779 = 998880
  • 131 + 998749 = 998880

Showing the first eight; more decompositions exist.

Hex color
#0F3DE0
RGB(15, 61, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.224.

Address
0.15.61.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.61.224

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 998,880 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 998880 first appears in π at position 470,752 of the decimal expansion (the 470,752ordinal-suffix:nd 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°.