Live analysis

988,332

988,332 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.).

988,332 (nine hundred eighty-eight thousand three hundred thirty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 82,361. Its proper divisors sum to 1,317,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF14AC.

Abundant Number Arithmetic Number Cube-Free Evil Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

988,320 988,321 988,322 988,323 988,324 988,325 988,326 988,327 988,328 988,329 988,330 988,331 988,332 988,333 988,334 988,335 988,336 988,337 988,338 988,339 988,340 988,341 988,342 988,343 988,344

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 10,368
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 233,889
Square (n²): 976,800,142,224
Cube (n³): 965,402,838,164,530,368
Divisor count: 12
σ(n) — sum of divisors: 2,306,136
φ(n) — Euler's totient: 329,440
Sum of prime factors: 82,368

Primality

Prime factorization: 2 ² × 3 × 82361

Nearest primes: 988,321 (−11) · 988,343 (+11)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 82361 · 164722 · 247083 · 329444 · 494166 (half) · 988332

Aliquot sum (sum of proper divisors): 1,317,804

Factor pairs (a × b = 988,332)

1 × 988332

2 × 494166

3 × 329444

4 × 247083

6 × 164722

12 × 82361

First multiples

988,332 · 1,976,664 (double) · 2,964,996 · 3,953,328 · 4,941,660 · 5,929,992 · 6,918,324 · 7,906,656 · 8,894,988 · 9,883,320

Sums & aliquot sequence

As consecutive integers: 329,443 + 329,444 + 329,445 123,538 + 123,539 + … + 123,545 41,169 + 41,170 + … + 41,192

Aliquot sequence: 988,332 → 1,317,804 → 1,778,436 → 3,303,564 → 5,405,556 → 8,178,028 → 6,133,528 → 5,482,232 → 6,344,968 → 7,723,832 → 7,095,808 → 7,082,972 → 7,311,268 → 5,483,458 → 2,741,732 → 2,741,788 → 2,782,276 — unresolved within range

Continued fraction of √n

√988,332 = [994; (6, 1, 2, 1, 1, 7, 1, 4, 2, 2, 8, 5, 180, 1, 1, 3, 1, 2, 1, 4, 2, 14, 2, 94, …)]

Representations

In words: nine hundred eighty-eight thousand three hundred thirty-two
Ordinal: 988332nd
Binary: 11110001010010101100
Octal: 3612254
Hexadecimal: 0xF14AC
Base64: DxSs
One's complement: 4,293,978,963 (32-bit)
Scientific notation: 9.88332 × 10⁵
As a duration: 988,332 s = 11 days, 10 hours, 32 minutes, 12 seconds

In other bases

ternary (3) 1212012201220

quaternary (4) 3301102230

quinary (5) 223111312

senary (6) 33103340

septenary (7) 11254302

nonary (9) 1765656

undecimal (11) 615604

duodecimal (12) 3b7b50

tridecimal (13) 287b17

tetradecimal (14) 1ba272

pentadecimal (15) 147c8c

As an angle

988,332° = 2,745 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡπητλβʹ
Chinese: 九十八萬八千三百三十二
Chinese (financial): 玖拾捌萬捌仟參佰參拾貳

In other modern scripts

Eastern Arabic ٩٨٨٣٣٢ Devanagari ९८८३३२ Bengali ৯৮৮৩৩২ Tamil ௯௮௮௩௩௨ Thai ๙๘๘๓๓๒ Tibetan ༩༨༨༣༣༢ Khmer ៩៨៨៣៣២ Lao ໙໘໘໓໓໒ Burmese ၉၈၈၃၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988332, here are decompositions:

11 + 988321 = 988332
13 + 988319 = 988332
19 + 988313 = 988332
53 + 988279 = 988332
61 + 988271 = 988332
89 + 988243 = 988332
101 + 988231 = 988332
113 + 988219 = 988332

Showing the first eight; more decompositions exist.

Hex color

#0F14AC

RGB(15, 20, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.172.

Address: 0.15.20.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.20.172

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 988,332 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 US988,332 on Google Patents ↗ Look up on USPTO ↗