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988,988

988,988 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.).

988,988 (nine hundred eighty-eight thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 7 × 11 × 13² × 19. Its proper divisors sum to 1,470,532, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF173C.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
50
Digit product
331,776
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
889,889
Flips to (rotate 180°)
886,886
Square (n²)
978,097,264,144
Cube (n³)
967,326,457,071,246,272
Divisor count
72
σ(n) — sum of divisors
2,459,520
φ(n) — Euler's totient
336,960
Sum of prime factors
67

Primality

Prime factorization: 2 2 × 7 × 11 × 13 2 × 19

Nearest primes: 988,979 (−9) · 989,011 (+23)

Divisors & multiples

All divisors (72)
1 · 2 · 4 · 7 · 11 · 13 · 14 · 19 · 22 · 26 · 28 · 38 · 44 · 52 · 76 · 77 · 91 · 133 · 143 · 154 · 169 · 182 · 209 · 247 · 266 · 286 · 308 · 338 · 364 · 418 · 494 · 532 · 572 · 676 · 836 · 988 · 1001 · 1183 · 1463 · 1729 · 1859 · 2002 · 2366 · 2717 · 2926 · 3211 · 3458 · 3718 · 4004 · 4732 · 5434 · 5852 · 6422 · 6916 · 7436 · 10868 · 12844 · 13013 · 19019 · 22477 · 26026 · 35321 · 38038 · 44954 · 52052 · 70642 · 76076 · 89908 · 141284 · 247247 · 494494 (half) · 988988
Aliquot sum (sum of proper divisors): 1,470,532
Factor pairs (a × b = 988,988)
1 × 988988
2 × 494494
4 × 247247
7 × 141284
11 × 89908
13 × 76076
14 × 70642
19 × 52052
22 × 44954
26 × 38038
28 × 35321
38 × 26026
44 × 22477
52 × 19019
76 × 13013
77 × 12844
91 × 10868
133 × 7436
143 × 6916
154 × 6422
169 × 5852
182 × 5434
209 × 4732
247 × 4004
266 × 3718
286 × 3458
308 × 3211
338 × 2926
364 × 2717
418 × 2366
494 × 2002
532 × 1859
572 × 1729
676 × 1463
836 × 1183
988 × 1001
First multiples
988,988 · 1,977,976 (double) · 2,966,964 · 3,955,952 · 4,944,940 · 5,933,928 · 6,922,916 · 7,911,904 · 8,900,892 · 9,889,880

Sums & aliquot sequence

As consecutive integers: 141,281 + 141,282 + … + 141,287 123,620 + 123,621 + … + 123,627 89,903 + 89,904 + … + 89,913 76,070 + 76,071 + … + 76,082
Aliquot sequence: 988,988 1,470,532 1,573,628 1,649,284 2,076,284 2,221,156 2,415,644 3,304,420 4,626,524 4,626,580 6,677,888 9,111,712 8,827,034 4,472,026 2,752,058 1,422,682 902,918 — unresolved within range

Continued fraction of √n

√988,988 = [994; (2, 11, 3, 1, 2, 1, 1, 11, 5, 4, 1, 10, 1, 24, 1, 10, 1, 4, 5, 11, 1, 1, 2, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-eight thousand nine hundred eighty-eight
Ordinal
988988th
Binary
11110001011100111100
Octal
3613474
Hexadecimal
0xF173C
Base64
Dxc8
One's complement
4,293,978,307 (32-bit)
Scientific notation
9.88988 × 10⁵
As a duration
988,988 s = 11 days, 10 hours, 43 minutes, 8 seconds
In other bases
ternary (3) 1212020122012
quaternary (4) 3301130330
quinary (5) 223121423
senary (6) 33110352
septenary (7) 11256230
nonary (9) 1766565
undecimal (11) 616050
duodecimal (12) 3b83b8
tridecimal (13) 288200
tetradecimal (14) 1ba5c0
pentadecimal (15) 148078

As an angle

988,988° = 2,747 × 360° + 68°
68° ≈ 1.187 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡπηϡπηʹ
Chinese
九十八萬八千九百八十八
Chinese (financial)
玖拾捌萬捌仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ٩٨٨٩٨٨ Devanagari ९८८९८८ Bengali ৯৮৮৯৮৮ Tamil ௯௮௮௯௮௮ Thai ๙๘๘๙๘๘ Tibetan ༩༨༨༩༨༨ Khmer ៩៨៨៩៨៨ Lao ໙໘໘໙໘໘ Burmese ၉၈၈၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988988, here are decompositions:

  • 37 + 988951 = 988988
  • 79 + 988909 = 988988
  • 127 + 988861 = 988988
  • 139 + 988849 = 988988
  • 151 + 988837 = 988988
  • 199 + 988789 = 988988
  • 229 + 988759 = 988988
  • 277 + 988711 = 988988

Showing the first eight; more decompositions exist.

Hex color
#0F173C
RGB(15, 23, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.23.60.

Address
0.15.23.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.23.60

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 988,988 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 988988 first appears in π at position 314,553 of the decimal expansion (the 314,553ordinal-suffix:rd 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°.