Live analysis

988,328

988,328 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.).

988,328 (nine hundred eighty-eight thousand three hundred twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 11² × 1,021. Its proper divisors sum to 1,050,562, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF14A8.

Abundant Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

988,316 988,317 988,318 988,319 988,320 988,321 988,322 988,323 988,324 988,325 988,326 988,327 988,328 988,329 988,330 988,331 988,332 988,333 988,334 988,335 988,336 988,337 988,338 988,339 988,340

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 38
Digit product: 27,648
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 823,889
Square (n²): 976,792,235,584
Cube (n³): 965,391,116,610,263,552
Divisor count: 24
σ(n) — sum of divisors: 2,038,890
φ(n) — Euler's totient: 448,800
Sum of prime factors: 1,049

Primality

Prime factorization: 2 ³ × 11 ² × 1021

Nearest primes: 988,321 (−7) · 988,343 (+15)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 121 · 242 · 484 · 968 · 1021 · 2042 · 4084 · 8168 · 11231 · 22462 · 44924 · 89848 · 123541 · 247082 · 494164 (half) · 988328

Aliquot sum (sum of proper divisors): 1,050,562

Factor pairs (a × b = 988,328)

1 × 988328

2 × 494164

4 × 247082

8 × 123541

11 × 89848

22 × 44924

44 × 22462

88 × 11231

121 × 8168

242 × 4084

484 × 2042

968 × 1021

First multiples

988,328 · 1,976,656 (double) · 2,964,984 · 3,953,312 · 4,941,640 · 5,929,968 · 6,918,296 · 7,906,624 · 8,894,952 · 9,883,280

Sums & aliquot sequence

As a sum of two squares: 418² + 902²

As consecutive integers: 89,843 + 89,844 + … + 89,853 61,763 + 61,764 + … + 61,778 8,108 + 8,109 + … + 8,228 5,528 + 5,529 + … + 5,703

Aliquot sequence: 988,328 → 1,050,562 → 537,038 → 268,522 → 160,022 → 99,178 → 58,394 → 45,094 → 32,234 → 17,014 → 9,194 → 4,600 → 6,560 → 9,316 → 8,072 → 7,078 → 3,542 — unresolved within range

Continued fraction of √n

√988,328 = [994; (6, 1, 4, 4, 2, 1, 1, 2, 3, 1, 4, 1, 3, 3, 1, 1, 4, 21, 2, 1, 1, 5, 29, 16, …)]

Representations

In words: nine hundred eighty-eight thousand three hundred twenty-eight
Ordinal: 988328th
Binary: 11110001010010101000
Octal: 3612250
Hexadecimal: 0xF14A8
Base64: DxSo
One's complement: 4,293,978,967 (32-bit)
Scientific notation: 9.88328 × 10⁵
As a duration: 988,328 s = 11 days, 10 hours, 32 minutes, 8 seconds

In other bases

ternary (3) 1212012201202

quaternary (4) 3301102220

quinary (5) 223111303

senary (6) 33103332

septenary (7) 11254265

nonary (9) 1765652

undecimal (11) 615600

duodecimal (12) 3b7b48

tridecimal (13) 287b13

tetradecimal (14) 1ba26c

pentadecimal (15) 147c88

As an angle

988,328° = 2,745 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπητκηʹ
Chinese: 九十八萬八千三百二十八
Chinese (financial): 玖拾捌萬捌仟參佰貳拾捌

In other modern scripts

Eastern Arabic ٩٨٨٣٢٨ Devanagari ९८८३२८ Bengali ৯৮৮৩২৮ Tamil ௯௮௮௩௨௮ Thai ๙๘๘๓๒๘ Tibetan ༩༨༨༣༢༨ Khmer ៩៨៨៣២៨ Lao ໙໘໘໓໒໘ Burmese ၉၈၈၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988328, here are decompositions:

7 + 988321 = 988328
31 + 988297 = 988328
97 + 988231 = 988328
109 + 988219 = 988328
181 + 988147 = 988328
199 + 988129 = 988328
277 + 988051 = 988328
307 + 988021 = 988328

Showing the first eight; more decompositions exist.

Hex color

#0F14A8

RGB(15, 20, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.168.

Address: 0.15.20.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.20.168

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 988,328 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 US988,328 on Google Patents ↗ Look up on USPTO ↗