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988,032

988,032 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.).

988,032 (nine hundred eighty-eight thousand thirty-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 31 × 83. Its proper divisors sum to 1,753,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1380.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
230,889
Recamán's sequence
a(330,575) = 988,032
Square (n²)
976,207,233,024
Cube (n³)
964,523,984,859,168,768
Divisor count
64
σ(n) — sum of divisors
2,741,760
φ(n) — Euler's totient
314,880
Sum of prime factors
131

Primality

Prime factorization: 2 7 × 3 × 31 × 83

Nearest primes: 988,021 (−11) · 988,033 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 31 · 32 · 48 · 62 · 64 · 83 · 93 · 96 · 124 · 128 · 166 · 186 · 192 · 248 · 249 · 332 · 372 · 384 · 496 · 498 · 664 · 744 · 992 · 996 · 1328 · 1488 · 1984 · 1992 · 2573 · 2656 · 2976 · 3968 · 3984 · 5146 · 5312 · 5952 · 7719 · 7968 · 10292 · 10624 · 11904 · 15438 · 15936 · 20584 · 30876 · 31872 · 41168 · 61752 · 82336 · 123504 · 164672 · 247008 · 329344 · 494016 (half) · 988032
Aliquot sum (sum of proper divisors): 1,753,728
Factor pairs (a × b = 988,032)
1 × 988032
2 × 494016
3 × 329344
4 × 247008
6 × 164672
8 × 123504
12 × 82336
16 × 61752
24 × 41168
31 × 31872
32 × 30876
48 × 20584
62 × 15936
64 × 15438
83 × 11904
93 × 10624
96 × 10292
124 × 7968
128 × 7719
166 × 5952
186 × 5312
192 × 5146
248 × 3984
249 × 3968
332 × 2976
372 × 2656
384 × 2573
496 × 1992
498 × 1984
664 × 1488
744 × 1328
992 × 996
First multiples
988,032 · 1,976,064 (double) · 2,964,096 · 3,952,128 · 4,940,160 · 5,928,192 · 6,916,224 · 7,904,256 · 8,892,288 · 9,880,320

Sums & aliquot sequence

As consecutive integers: 329,343 + 329,344 + 329,345 31,857 + 31,858 + … + 31,887 11,863 + 11,864 + … + 11,945 10,578 + 10,579 + … + 10,670
Aliquot sequence: 988,032 1,753,728 2,905,632 6,241,968 11,676,032 12,814,168 11,253,992 11,486,488 12,932,312 12,592,288 13,867,712 14,850,544 13,922,416 13,052,296 11,420,774 5,710,390 6,581,162 — unresolved within range

Continued fraction of √n

√988,032 = [993; (1, 495, 1, 1986)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-eight thousand thirty-two
Ordinal
988032nd
Binary
11110001001110000000
Octal
3611600
Hexadecimal
0xF1380
Base64
DxOA
One's complement
4,293,979,263 (32-bit)
Scientific notation
9.88032 × 10⁵
As a duration
988,032 s = 11 days, 10 hours, 27 minutes, 12 seconds
In other bases
ternary (3) 1212012022210
quaternary (4) 3301032000
quinary (5) 223104112
senary (6) 33102120
septenary (7) 11253363
nonary (9) 1765283
undecimal (11) 615361
duodecimal (12) 3b7940
tridecimal (13) 287946
tetradecimal (14) 1ba0da
pentadecimal (15) 147b3c

As an angle

988,032° = 2,744 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ϡπηλβʹ
Chinese
九十八萬八千零三十二
Chinese (financial)
玖拾捌萬捌仟零參拾貳
In other modern scripts
Eastern Arabic ٩٨٨٠٣٢ Devanagari ९८८०३२ Bengali ৯৮৮০৩২ Tamil ௯௮௮௦௩௨ Thai ๙๘๘๐๓๒ Tibetan ༩༨༨༠༣༢ Khmer ៩៨៨០៣២ Lao ໙໘໘໐໓໒ Burmese ၉၈၈၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988032, here are decompositions:

  • 11 + 988021 = 988032
  • 41 + 987991 = 988032
  • 53 + 987979 = 988032
  • 61 + 987971 = 988032
  • 103 + 987929 = 988032
  • 163 + 987869 = 988032
  • 181 + 987851 = 988032
  • 211 + 987821 = 988032

Showing the first eight; more decompositions exist.

Hex color
#0F1380
RGB(15, 19, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.128.

Address
0.15.19.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.19.128

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 988,032 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 988032 first appears in π at position 939,270 of the decimal expansion (the 939,270ordinal-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°.