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988,848

988,848 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.).

988,848 (nine hundred eighty-eight thousand eight hundred forty-eight) is an even 6-digit number. It is a composite number with 100 divisors, and factors as 2⁴ × 3⁴ × 7 × 109. Its proper divisors sum to 2,312,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF16B0.

Abundant Number Evil Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
45
Digit product
147,456
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
848,889
Square (n²)
977,820,367,104
Cube (n³)
966,915,714,370,056,192
Divisor count
100
σ(n) — sum of divisors
3,300,880
φ(n) — Euler's totient
279,936
Sum of prime factors
136

Primality

Prime factorization: 2 4 × 3 4 × 7 × 109

Nearest primes: 988,837 (−11) · 988,849 (+1)

Divisors & multiples

All divisors (100)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 27 · 28 · 36 · 42 · 48 · 54 · 56 · 63 · 72 · 81 · 84 · 108 · 109 · 112 · 126 · 144 · 162 · 168 · 189 · 216 · 218 · 252 · 324 · 327 · 336 · 378 · 432 · 436 · 504 · 567 · 648 · 654 · 756 · 763 · 872 · 981 · 1008 · 1134 · 1296 · 1308 · 1512 · 1526 · 1744 · 1962 · 2268 · 2289 · 2616 · 2943 · 3024 · 3052 · 3924 · 4536 · 4578 · 5232 · 5886 · 6104 · 6867 · 7848 · 8829 · 9072 · 9156 · 11772 · 12208 · 13734 · 15696 · 17658 · 18312 · 20601 · 23544 · 27468 · 35316 · 36624 · 41202 · 47088 · 54936 · 61803 · 70632 · 82404 · 109872 · 123606 · 141264 · 164808 · 247212 · 329616 · 494424 (half) · 988848
Aliquot sum (sum of proper divisors): 2,312,032
Factor pairs (a × b = 988,848)
1 × 988848
2 × 494424
3 × 329616
4 × 247212
6 × 164808
7 × 141264
8 × 123606
9 × 109872
12 × 82404
14 × 70632
16 × 61803
18 × 54936
21 × 47088
24 × 41202
27 × 36624
28 × 35316
36 × 27468
42 × 23544
48 × 20601
54 × 18312
56 × 17658
63 × 15696
72 × 13734
81 × 12208
84 × 11772
108 × 9156
109 × 9072
112 × 8829
126 × 7848
144 × 6867
162 × 6104
168 × 5886
189 × 5232
216 × 4578
218 × 4536
252 × 3924
324 × 3052
327 × 3024
336 × 2943
378 × 2616
432 × 2289
436 × 2268
504 × 1962
567 × 1744
648 × 1526
654 × 1512
756 × 1308
763 × 1296
872 × 1134
981 × 1008
First multiples
988,848 · 1,977,696 (double) · 2,966,544 · 3,955,392 · 4,944,240 · 5,933,088 · 6,921,936 · 7,910,784 · 8,899,632 · 9,888,480

Sums & aliquot sequence

As consecutive integers: 329,615 + 329,616 + 329,617 141,261 + 141,262 + … + 141,267 109,868 + 109,869 + … + 109,876 47,078 + 47,079 + … + 47,098
Aliquot sequence: 988,848 2,312,032 2,239,844 1,815,256 1,588,364 1,200,436 900,334 608,426 515,158 397,226 198,616 225,464 197,296 249,104 233,566 128,954 97,222 — unresolved within range

Continued fraction of √n

√988,848 = [994; (2, 2, 4, 2, 1, 1, 1, 2, 13, 1, 1, 8, 1, 1, 1, 4, 1, 220, 6, 2, 1, 1, 3, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-eight thousand eight hundred forty-eight
Ordinal
988848th
Binary
11110001011010110000
Octal
3613260
Hexadecimal
0xF16B0
Base64
Dxaw
One's complement
4,293,978,447 (32-bit)
Scientific notation
9.88848 × 10⁵
As a duration
988,848 s = 11 days, 10 hours, 40 minutes, 48 seconds
In other bases
ternary (3) 1212020110000
quaternary (4) 3301122300
quinary (5) 223120343
senary (6) 33110000
septenary (7) 11255640
nonary (9) 1766400
undecimal (11) 615a33
duodecimal (12) 3b8300
tridecimal (13) 288123
tetradecimal (14) 1ba520
pentadecimal (15) 147ed3

As an angle

988,848° = 2,746 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡπηωμηʹ
Chinese
九十八萬八千八百四十八
Chinese (financial)
玖拾捌萬捌仟捌佰肆拾捌
In other modern scripts
Eastern Arabic ٩٨٨٨٤٨ Devanagari ९८८८४८ Bengali ৯৮৮৮৪৮ Tamil ௯௮௮௮௪௮ Thai ๙๘๘๘๔๘ Tibetan ༩༨༨༨༤༨ Khmer ៩៨៨៨៤៨ Lao ໙໘໘໘໔໘ Burmese ၉၈၈၈၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988848, here are decompositions:

  • 11 + 988837 = 988848
  • 19 + 988829 = 988848
  • 59 + 988789 = 988848
  • 89 + 988759 = 988848
  • 137 + 988711 = 988848
  • 167 + 988681 = 988848
  • 197 + 988651 = 988848
  • 199 + 988649 = 988848

Showing the first eight; more decompositions exist.

Hex color
#0F16B0
RGB(15, 22, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.22.176.

Address
0.15.22.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.22.176

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 988,848 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°.