Live analysis

988,992

988,992 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.).

988,992 (nine hundred eighty-eight thousand nine hundred ninety-two) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 17 × 101. Its proper divisors sum to 2,042,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1740.

Abundant Number Odious Number Practical Number Weird Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

988,980 988,981 988,982 988,983 988,984 988,985 988,986 988,987 988,988 988,989 988,990 988,991 988,992 988,993 988,994 988,995 988,996 988,997 988,998 988,999 989,000 989,001 989,002 989,003 989,004

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 45
Digit product: 93,312
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 299,889
Square (n²): 978,105,176,064
Cube (n³): 967,338,194,285,887,488
Divisor count: 84
σ(n) — sum of divisors: 3,031,236
φ(n) — Euler's totient: 307,200
Sum of prime factors: 136

Primality

Prime factorization: 2 ⁶ × 3 ² × 17 × 101

Nearest primes: 988,979 (−13) · 989,011 (+19)

Divisors & multiples

All divisors (84)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 17 · 18 · 24 · 32 · 34 · 36 · 48 · 51 · 64 · 68 · 72 · 96 · 101 · 102 · 136 · 144 · 153 · 192 · 202 · 204 · 272 · 288 · 303 · 306 · 404 · 408 · 544 · 576 · 606 · 612 · 808 · 816 · 909 · 1088 · 1212 · 1224 · 1616 · 1632 · 1717 · 1818 · 2424 · 2448 · 3232 · 3264 · 3434 · 3636 · 4848 · 4896 · 5151 · 6464 · 6868 · 7272 · 9696 · 9792 · 10302 · 13736 · 14544 · 15453 · 19392 · 20604 · 27472 · 29088 · 30906 · 41208 · 54944 · 58176 · 61812 · 82416 · 109888 · 123624 · 164832 · 247248 · 329664 · 494496 (half) · 988992

Aliquot sum (sum of proper divisors): 2,042,244

Factor pairs (a × b = 988,992)

1 × 988992

2 × 494496

3 × 329664

4 × 247248

6 × 164832

8 × 123624

9 × 109888

12 × 82416

16 × 61812

17 × 58176

18 × 54944

24 × 41208

32 × 30906

34 × 29088

36 × 27472

48 × 20604

51 × 19392

64 × 15453

68 × 14544

72 × 13736

96 × 10302

101 × 9792

102 × 9696

136 × 7272

144 × 6868

153 × 6464

192 × 5151

202 × 4896

204 × 4848

272 × 3636

288 × 3434

303 × 3264

306 × 3232

404 × 2448

408 × 2424

544 × 1818

576 × 1717

606 × 1632

612 × 1616

808 × 1224

816 × 1212

909 × 1088

First multiples

988,992 · 1,977,984 (double) · 2,966,976 · 3,955,968 · 4,944,960 · 5,933,952 · 6,922,944 · 7,911,936 · 8,900,928 · 9,889,920

Sums & aliquot sequence

As a sum of two squares: 144² + 984² = 336² + 936²

As consecutive integers: 329,663 + 329,664 + 329,665 109,884 + 109,885 + … + 109,892 58,168 + 58,169 + … + 58,184 19,367 + 19,368 + … + 19,417

Aliquot sequence: 988,992 → 2,042,244 → 3,618,684 → 5,528,636 → 4,146,484 → 3,491,916 → 4,655,916 → 7,180,636 → 5,404,244 → 4,053,190 → 3,267,770 → 3,267,526 → 1,714,298 → 863,494 → 445,394 → 238,366 → 119,186 — unresolved within range

Continued fraction of √n

√988,992 = [994; (2, 12, 2, 1988)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand nine hundred ninety-two
Ordinal: 988992nd
Binary: 11110001011101000000
Octal: 3613500
Hexadecimal: 0xF1740
Base64: DxdA
One's complement: 4,293,978,303 (32-bit)
Scientific notation: 9.88992 × 10⁵
As a duration: 988,992 s = 11 days, 10 hours, 43 minutes, 12 seconds

In other bases

ternary (3) 1212020122100

quaternary (4) 3301131000

quinary (5) 223121432

senary (6) 33110400

septenary (7) 11256234

nonary (9) 1766570

undecimal (11) 616054

duodecimal (12) 3b8400

tridecimal (13) 288204

tetradecimal (14) 1ba5c4

pentadecimal (15) 14807c

As an angle

988,992° = 2,747 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡπηϡϟβʹ
Chinese: 九十八萬八千九百九十二
Chinese (financial): 玖拾捌萬捌仟玖佰玖拾貳

In other modern scripts

Eastern Arabic ٩٨٨٩٩٢ Devanagari ९८८९९२ Bengali ৯৮৮৯৯২ Tamil ௯௮௮௯௯௨ Thai ๙๘๘๙๙๒ Tibetan ༩༨༨༩༩༢ Khmer ៩៨៨៩៩២ Lao ໙໘໘໙໙໒ Burmese ၉၈၈၉၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988992, here are decompositions:

13 + 988979 = 988992
29 + 988963 = 988992
41 + 988951 = 988992
83 + 988909 = 988992
131 + 988861 = 988992
163 + 988829 = 988992
229 + 988763 = 988992
233 + 988759 = 988992

Showing the first eight; more decompositions exist.

Hex color

#0F1740

RGB(15, 23, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.23.64.

Address: 0.15.23.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.23.64

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 988,992 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US988,992 on Google Patents ↗ Look up on USPTO ↗