Live analysis

988,304

988,304 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.).

988,304 (nine hundred eighty-eight thousand three hundred four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 19 × 3,251. Its proper divisors sum to 1,027,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1490.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

988,292 988,293 988,294 988,295 988,296 988,297 988,298 988,299 988,300 988,301 988,302 988,303 988,304 988,305 988,306 988,307 988,308 988,309 988,310 988,311 988,312 988,313 988,314 988,315 988,316

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 32
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 403,889
Square (n²): 976,744,796,416
Cube (n³): 965,320,789,277,118,464
Divisor count: 20
σ(n) — sum of divisors: 2,016,240
φ(n) — Euler's totient: 468,000
Sum of prime factors: 3,278

Primality

Prime factorization: 2 ⁴ × 19 × 3251

Nearest primes: 988,297 (−7) · 988,313 (+9)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 16 · 19 · 38 · 76 · 152 · 304 · 3251 · 6502 · 13004 · 26008 · 52016 · 61769 · 123538 · 247076 · 494152 (half) · 988304

Aliquot sum (sum of proper divisors): 1,027,936

Factor pairs (a × b = 988,304)

1 × 988304

2 × 494152

4 × 247076

8 × 123538

16 × 61769

19 × 52016

38 × 26008

76 × 13004

152 × 6502

304 × 3251

First multiples

988,304 · 1,976,608 (double) · 2,964,912 · 3,953,216 · 4,941,520 · 5,929,824 · 6,918,128 · 7,906,432 · 8,894,736 · 9,883,040

Sums & aliquot sequence

As consecutive integers: 52,007 + 52,008 + … + 52,025 30,869 + 30,870 + … + 30,900 1,322 + 1,323 + … + 1,929

Aliquot sequence: 988,304 → 1,027,936 → 1,469,888 → 2,077,984 → 2,013,110 → 1,940,122 → 970,064 → 1,008,976 → 1,049,424 → 1,661,712 → 2,962,992 → 4,691,528 → 4,170,472 → 3,649,178 → 2,701,222 → 1,504,010 → 1,203,226 — unresolved within range

Continued fraction of √n

√988,304 = [994; (7, 2, 2, 1, 1, 3, 2, 1, 1, 4, 1, 1, 2, 1, 6, 4, 1, 3, 2, 1, 1, 17, 6, 5, …)]

Representations

In words: nine hundred eighty-eight thousand three hundred four
Ordinal: 988304th
Binary: 11110001010010010000
Octal: 3612220
Hexadecimal: 0xF1490
Base64: DxSQ
One's complement: 4,293,978,991 (32-bit)
Scientific notation: 9.88304 × 10⁵
As a duration: 988,304 s = 11 days, 10 hours, 31 minutes, 44 seconds

In other bases

ternary (3) 1212012200212

quaternary (4) 3301102100

quinary (5) 223111204

senary (6) 33103252

septenary (7) 11254232

nonary (9) 1765625

undecimal (11) 615589

duodecimal (12) 3b7b28

tridecimal (13) 287ac5

tetradecimal (14) 1ba252

pentadecimal (15) 147c6e

As an angle

988,304° = 2,745 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπητδʹ
Chinese: 九十八萬八千三百零四
Chinese (financial): 玖拾捌萬捌仟參佰零肆

In other modern scripts

Eastern Arabic ٩٨٨٣٠٤ Devanagari ९८८३०४ Bengali ৯৮৮৩০৪ Tamil ௯௮௮௩௦௪ Thai ๙๘๘๓๐๔ Tibetan ༩༨༨༣༠༤ Khmer ៩៨៨៣០៤ Lao ໙໘໘໓໐໔ Burmese ၉၈၈၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988304, here are decompositions:

7 + 988297 = 988304
61 + 988243 = 988304
67 + 988237 = 988304
73 + 988231 = 988304
157 + 988147 = 988304
193 + 988111 = 988304
211 + 988093 = 988304
271 + 988033 = 988304

Showing the first eight; more decompositions exist.

Hex color

#0F1490

RGB(15, 20, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.144.

Address: 0.15.20.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.20.144

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 988,304 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 US988,304 on Google Patents ↗ Look up on USPTO ↗