number.wiki
Live analysis

988,000

988,000 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.).

988,000 (nine hundred eighty-eight thousand) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 5³ × 13 × 19. Its proper divisors sum to 1,763,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1360.

Abundant Number Arithmetic Number Flippable Harshad / Niven Odious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
889
Flips to (rotate 180°)
886
Recamán's sequence
a(330,639) = 988,000
Square (n²)
976,144,000,000
Cube (n³)
964,430,272,000,000,000
Divisor count
96
σ(n) — sum of divisors
2,751,840
φ(n) — Euler's totient
345,600
Sum of prime factors
57

Primality

Prime factorization: 2 5 × 5 3 × 13 × 19

Nearest primes: 987,997 (−3) · 988,007 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 19 · 20 · 25 · 26 · 32 · 38 · 40 · 50 · 52 · 65 · 76 · 80 · 95 · 100 · 104 · 125 · 130 · 152 · 160 · 190 · 200 · 208 · 247 · 250 · 260 · 304 · 325 · 380 · 400 · 416 · 475 · 494 · 500 · 520 · 608 · 650 · 760 · 800 · 950 · 988 · 1000 · 1040 · 1235 · 1300 · 1520 · 1625 · 1900 · 1976 · 2000 · 2080 · 2375 · 2470 · 2600 · 3040 · 3250 · 3800 · 3952 · 4000 · 4750 · 4940 · 5200 · 6175 · 6500 · 7600 · 7904 · 9500 · 9880 · 10400 · 12350 · 13000 · 15200 · 19000 · 19760 · 24700 · 26000 · 30875 · 38000 · 39520 · 49400 · 52000 · 61750 · 76000 · 98800 · 123500 · 197600 · 247000 · 494000 (half) · 988000
Aliquot sum (sum of proper divisors): 1,763,840
Factor pairs (a × b = 988,000)
1 × 988000
2 × 494000
4 × 247000
5 × 197600
8 × 123500
10 × 98800
13 × 76000
16 × 61750
19 × 52000
20 × 49400
25 × 39520
26 × 38000
32 × 30875
38 × 26000
40 × 24700
50 × 19760
52 × 19000
65 × 15200
76 × 13000
80 × 12350
95 × 10400
100 × 9880
104 × 9500
125 × 7904
130 × 7600
152 × 6500
160 × 6175
190 × 5200
200 × 4940
208 × 4750
247 × 4000
250 × 3952
260 × 3800
304 × 3250
325 × 3040
380 × 2600
400 × 2470
416 × 2375
475 × 2080
494 × 2000
500 × 1976
520 × 1900
608 × 1625
650 × 1520
760 × 1300
800 × 1235
950 × 1040
988 × 1000
First multiples
988,000 · 1,976,000 (double) · 2,964,000 · 3,952,000 · 4,940,000 · 5,928,000 · 6,916,000 · 7,904,000 · 8,892,000 · 9,880,000

Sums & aliquot sequence

As consecutive integers: 197,598 + 197,599 + 197,600 + 197,601 + 197,602 75,994 + 75,995 + … + 76,006 51,991 + 51,992 + … + 52,009 39,508 + 39,509 + … + 39,532
Aliquot sequence: 988,000 1,763,840 2,876,488 2,516,942 1,258,474 898,934 455,386 227,696 307,984 288,766 144,386 91,918 45,962 35,638 18,650 16,132 13,128 — unresolved within range

Continued fraction of √n

√988,000 = [993; (1, 54, 4, 1, 1, 23, 1, 78, 1, 1, 3, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 3, 1, …)]

Representations

In words
nine hundred eighty-eight thousand
Ordinal
988000th
Binary
11110001001101100000
Octal
3611540
Hexadecimal
0xF1360
Base64
DxNg
One's complement
4,293,979,295 (32-bit)
Scientific notation
9.88 × 10⁵
As a duration
988,000 s = 11 days, 10 hours, 26 minutes, 40 seconds
In other bases
ternary (3) 1212012021121
quaternary (4) 3301031200
quinary (5) 223104000
senary (6) 33102024
septenary (7) 11253316
nonary (9) 1765247
undecimal (11) 615332
duodecimal (12) 3b7914
tridecimal (13) 287920
tetradecimal (14) 1ba0b6
pentadecimal (15) 147b1a

As an angle

988,000° = 2,744 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵ϡπη
Chinese
九十八萬八千
Chinese (financial)
玖拾捌萬捌仟
In other modern scripts
Eastern Arabic ٩٨٨٠٠٠ Devanagari ९८८००० Bengali ৯৮৮০০০ Tamil ௯௮௮௦௦௦ Thai ๙๘๘๐๐๐ Tibetan ༩༨༨༠༠༠ Khmer ៩៨៨០០០ Lao ໙໘໘໐໐໐ Burmese ၉၈၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988000, here are decompositions:

  • 3 + 987997 = 988000
  • 17 + 987983 = 988000
  • 29 + 987971 = 988000
  • 59 + 987941 = 988000
  • 71 + 987929 = 988000
  • 89 + 987911 = 988000
  • 131 + 987869 = 988000
  • 149 + 987851 = 988000

Showing the first eight; more decompositions exist.

Hex color
#0F1360
RGB(15, 19, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.96.

Address
0.15.19.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.19.96

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 988,000 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°.