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998,988

998,988 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.).

998,988 (nine hundred ninety-eight thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 17 × 59 × 83. Its proper divisors sum to 1,541,172, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3E4C.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
51
Digit product
373,248
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
889,899
Flips to (rotate 180°)
886,866
Square (n²)
997,977,024,144
Cube (n³)
996,967,071,395,566,272
Divisor count
48
σ(n) — sum of divisors
2,540,160
φ(n) — Euler's totient
304,384
Sum of prime factors
166

Primality

Prime factorization: 2 2 × 3 × 17 × 59 × 83

Nearest primes: 998,983 (−5) · 998,989 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 51 · 59 · 68 · 83 · 102 · 118 · 166 · 177 · 204 · 236 · 249 · 332 · 354 · 498 · 708 · 996 · 1003 · 1411 · 2006 · 2822 · 3009 · 4012 · 4233 · 4897 · 5644 · 6018 · 8466 · 9794 · 12036 · 14691 · 16932 · 19588 · 29382 · 58764 · 83249 · 166498 · 249747 · 332996 · 499494 (half) · 998988
Aliquot sum (sum of proper divisors): 1,541,172
Factor pairs (a × b = 998,988)
1 × 998988
2 × 499494
3 × 332996
4 × 249747
6 × 166498
12 × 83249
17 × 58764
34 × 29382
51 × 19588
59 × 16932
68 × 14691
83 × 12036
102 × 9794
118 × 8466
166 × 6018
177 × 5644
204 × 4897
236 × 4233
249 × 4012
332 × 3009
354 × 2822
498 × 2006
708 × 1411
996 × 1003
First multiples
998,988 · 1,997,976 (double) · 2,996,964 · 3,995,952 · 4,994,940 · 5,993,928 · 6,992,916 · 7,991,904 · 8,990,892 · 9,989,880

Sums & aliquot sequence

As consecutive integers: 332,995 + 332,996 + 332,997 124,870 + 124,871 + … + 124,877 58,756 + 58,757 + … + 58,772 41,613 + 41,614 + … + 41,636
Aliquot sequence: 998,988 1,541,172 2,054,924 1,541,200 2,162,494 1,081,250 957,682 628,622 318,754 169,694 162,082 81,044 60,790 48,650 55,510 69,482 51,928 — unresolved within range

Continued fraction of √n

√998,988 = [999; (2, 40, 3, 2, 1, 1, 1, 2, 10, 3, 1, 23, 24, 23, 1, 3, 10, 2, 1, 1, 1, 2, 3, 40, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand nine hundred eighty-eight
Ordinal
998988th
Binary
11110011111001001100
Octal
3637114
Hexadecimal
0xF3E4C
Base64
Dz5M
One's complement
4,293,968,307 (32-bit)
Scientific notation
9.98988 × 10⁵
As a duration
998,988 s = 11 days, 13 hours, 29 minutes, 48 seconds
In other bases
ternary (3) 1212202100120
quaternary (4) 3303321030
quinary (5) 223431423
senary (6) 33224540
septenary (7) 11330334
nonary (9) 1782316
undecimal (11) 622611
duodecimal (12) 402150
tridecimal (13) 28c923
tetradecimal (14) 1c00c4
pentadecimal (15) 14aee3

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηϡπηʹ
Chinese
九十九萬八千九百八十八
Chinese (financial)
玖拾玖萬捌仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ٩٩٨٩٨٨ Devanagari ९९८९८८ Bengali ৯৯৮৯৮৮ Tamil ௯௯௮௯௮௮ Thai ๙๙๘๙๘๘ Tibetan ༩༩༨༩༨༨ Khmer ៩៩៨៩៨៨ Lao ໙໙໘໙໘໘ Burmese ၉၉၈၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998988, here are decompositions:

  • 5 + 998983 = 998988
  • 19 + 998969 = 998988
  • 31 + 998957 = 998988
  • 37 + 998951 = 998988
  • 41 + 998947 = 998988
  • 47 + 998941 = 998988
  • 61 + 998927 = 998988
  • 71 + 998917 = 998988

Showing the first eight; more decompositions exist.

Hex color
#0F3E4C
RGB(15, 62, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.62.76.

Address
0.15.62.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.62.76

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 998,988 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 998988 first appears in π at position 500,249 of the decimal expansion (the 500,249ordinal-suffix:th 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°.