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988,632

988,632 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.).

988,632 (nine hundred eighty-eight thousand six hundred thirty-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 23 × 199. Its proper divisors sum to 1,891,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF15D8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
20,736
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
236,889
Square (n²)
977,393,231,424
Cube (n³)
966,282,225,169,171,968
Divisor count
64
σ(n) — sum of divisors
2,880,000
φ(n) — Euler's totient
313,632
Sum of prime factors
237

Primality

Prime factorization: 2 3 × 3 3 × 23 × 199

Nearest primes: 988,607 (−25) · 988,643 (+11)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 23 · 24 · 27 · 36 · 46 · 54 · 69 · 72 · 92 · 108 · 138 · 184 · 199 · 207 · 216 · 276 · 398 · 414 · 552 · 597 · 621 · 796 · 828 · 1194 · 1242 · 1592 · 1656 · 1791 · 2388 · 2484 · 3582 · 4577 · 4776 · 4968 · 5373 · 7164 · 9154 · 10746 · 13731 · 14328 · 18308 · 21492 · 27462 · 36616 · 41193 · 42984 · 54924 · 82386 · 109848 · 123579 · 164772 · 247158 · 329544 · 494316 (half) · 988632
Aliquot sum (sum of proper divisors): 1,891,368
Factor pairs (a × b = 988,632)
1 × 988632
2 × 494316
3 × 329544
4 × 247158
6 × 164772
8 × 123579
9 × 109848
12 × 82386
18 × 54924
23 × 42984
24 × 41193
27 × 36616
36 × 27462
46 × 21492
54 × 18308
69 × 14328
72 × 13731
92 × 10746
108 × 9154
138 × 7164
184 × 5373
199 × 4968
207 × 4776
216 × 4577
276 × 3582
398 × 2484
414 × 2388
552 × 1791
597 × 1656
621 × 1592
796 × 1242
828 × 1194
First multiples
988,632 · 1,977,264 (double) · 2,965,896 · 3,954,528 · 4,943,160 · 5,931,792 · 6,920,424 · 7,909,056 · 8,897,688 · 9,886,320

Sums & aliquot sequence

As consecutive integers: 329,543 + 329,544 + 329,545 109,844 + 109,845 + … + 109,852 61,782 + 61,783 + … + 61,797 42,973 + 42,974 + … + 42,995
Aliquot sequence: 988,632 1,891,368 3,299,532 4,399,404 5,923,524 7,898,060 9,003,076 6,752,314 3,548,006 3,087,514 1,703,546 1,048,378 524,192 507,874 253,940 279,376 291,024 — unresolved within range

Continued fraction of √n

√988,632 = [994; (3, 2, 1, 39, 1, 7, 1, 1, 2, 9, 1, 9, 1, 9, 2, 1, 1, 7, 1, 39, 1, 2, 3, 1988)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-eight thousand six hundred thirty-two
Ordinal
988632nd
Binary
11110001010111011000
Octal
3612730
Hexadecimal
0xF15D8
Base64
DxXY
One's complement
4,293,978,663 (32-bit)
Scientific notation
9.88632 × 10⁵
As a duration
988,632 s = 11 days, 10 hours, 37 minutes, 12 seconds
In other bases
ternary (3) 1212020011000
quaternary (4) 3301113120
quinary (5) 223114012
senary (6) 33105000
septenary (7) 11255211
nonary (9) 1766130
undecimal (11) 615857
duodecimal (12) 3b8160
tridecimal (13) 287cb8
tetradecimal (14) 1ba408
pentadecimal (15) 147ddc
Palindromic in base 7

As an angle

988,632° = 2,746 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ϡπηχλβʹ
Chinese
九十八萬八千六百三十二
Chinese (financial)
玖拾捌萬捌仟陸佰參拾貳
In other modern scripts
Eastern Arabic ٩٨٨٦٣٢ Devanagari ९८८६३२ Bengali ৯৮৮৬৩২ Tamil ௯௮௮௬௩௨ Thai ๙๘๘๖๓๒ Tibetan ༩༨༨༦༣༢ Khmer ៩៨៨៦៣២ Lao ໙໘໘໖໓໒ Burmese ၉၈၈၆၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988632, here are decompositions:

  • 41 + 988591 = 988632
  • 53 + 988579 = 988632
  • 61 + 988571 = 988632
  • 83 + 988549 = 988632
  • 131 + 988501 = 988632
  • 149 + 988483 = 988632
  • 173 + 988459 = 988632
  • 179 + 988453 = 988632

Showing the first eight; more decompositions exist.

Hex color
#0F15D8
RGB(15, 21, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.21.216.

Address
0.15.21.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.21.216

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 988,632 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°.