Live analysis

998,388

998,388 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.).

998,388 (nine hundred ninety-eight thousand three hundred eighty-eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 27,733. Its proper divisors sum to 1,525,406, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3BF4.

Abundant Number Cube-Free Evil Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

998,376 998,377 998,378 998,379 998,380 998,381 998,382 998,383 998,384 998,385 998,386 998,387 998,388 998,389 998,390 998,391 998,392 998,393 998,394 998,395 998,396 998,397 998,398 998,399 998,400

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Properties

Parity: Even
Digit count: 6
Digit sum: 45
Digit product: 124,416
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 883,899
Square (n²): 996,778,598,544
Cube (n³): 995,171,791,443,147,072
Divisor count: 18
σ(n) — sum of divisors: 2,523,794
φ(n) — Euler's totient: 332,784
Sum of prime factors: 27,743

Primality

Prime factorization: 2 ² × 3 ² × 27733

Nearest primes: 998,381 (−7) · 998,399 (+11)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 27733 · 55466 · 83199 · 110932 · 166398 · 249597 · 332796 · 499194 (half) · 998388

Aliquot sum (sum of proper divisors): 1,525,406

Factor pairs (a × b = 998,388)

1 × 998388

2 × 499194

3 × 332796

4 × 249597

6 × 166398

9 × 110932

12 × 83199

18 × 55466

36 × 27733

First multiples

998,388 · 1,996,776 (double) · 2,995,164 · 3,993,552 · 4,991,940 · 5,990,328 · 6,988,716 · 7,987,104 · 8,985,492 · 9,983,880

Sums & aliquot sequence

As a sum of two squares: 522² + 852²

As consecutive integers: 332,795 + 332,796 + 332,797 124,795 + 124,796 + … + 124,802 110,928 + 110,929 + … + 110,936 41,588 + 41,589 + … + 41,611

Aliquot sequence: 998,388 → 1,525,406 → 862,258 → 499,262 → 256,954 → 128,480 → 207,184 → 212,432 → 269,680 → 357,512 → 376,888 → 329,792 → 324,766 → 199,898 → 102,694 → 51,350 → 52,810 — unresolved within range

Continued fraction of √n

√998,388 = [999; (5, 6, 8, 15, 1, 152, 1, 3, 1, 1, 1, 2, 1, 1, 2, 1, 4, 1, 2, 2, 4, 11, 1, 1, …)]

Representations

In words: nine hundred ninety-eight thousand three hundred eighty-eight
Ordinal: 998388th
Binary: 11110011101111110100
Octal: 3635764
Hexadecimal: 0xF3BF4
Base64: Dzv0
One's complement: 4,293,968,907 (32-bit)
Scientific notation: 9.98388 × 10⁵
As a duration: 998,388 s = 11 days, 13 hours, 19 minutes, 48 seconds

In other bases

ternary (3) 1212201112100

quaternary (4) 3303233310

quinary (5) 223422023

senary (6) 33222100

septenary (7) 11325516

nonary (9) 1781470

undecimal (11) 622116

duodecimal (12) 401930

tridecimal (13) 28c581

tetradecimal (14) 1bdbb6

pentadecimal (15) 14ac43

As an angle

998,388° = 2,773 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟητπηʹ
Chinese: 九十九萬八千三百八十八
Chinese (financial): 玖拾玖萬捌仟參佰捌拾捌

In other modern scripts

Eastern Arabic ٩٩٨٣٨٨ Devanagari ९९८३८८ Bengali ৯৯৮৩৮৮ Tamil ௯௯௮௩௮௮ Thai ๙๙๘๓๘๘ Tibetan ༩༩༨༣༨༨ Khmer ៩៩៨៣៨៨ Lao ໙໙໘໓໘໘ Burmese ၉၉၈၃၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998388, here are decompositions:

7 + 998381 = 998388
11 + 998377 = 998388
59 + 998329 = 998388
101 + 998287 = 998388
107 + 998281 = 998388
151 + 998237 = 998388
191 + 998197 = 998388
227 + 998161 = 998388

Showing the first eight; more decompositions exist.

Hex color

#0F3BF4

RGB(15, 59, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.244.

Address: 0.15.59.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.59.244

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 998,388 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 US998,388 on Google Patents ↗ Look up on USPTO ↗