Live analysis

988,398

988,398 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.).

988,398 (nine hundred eighty-eight thousand three hundred ninety-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 43 × 1,277. Its proper divisors sum to 1,204,650, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF14EE.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

988,386 988,387 988,388 988,389 988,390 988,391 988,392 988,393 988,394 988,395 988,396 988,397 988,398 988,399 988,400 988,401 988,402 988,403 988,404 988,405 988,406 988,407 988,408 988,409 988,410

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 45
Digit product: 124,416
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 893,889
Square (n²): 976,930,606,404
Cube (n³): 965,596,257,508,500,792
Divisor count: 24
σ(n) — sum of divisors: 2,193,048
φ(n) — Euler's totient: 321,552
Sum of prime factors: 1,328

Primality

Prime factorization: 2 × 3 ² × 43 × 1277

Nearest primes: 988,367 (−31) · 988,409 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 43 · 86 · 129 · 258 · 387 · 774 · 1277 · 2554 · 3831 · 7662 · 11493 · 22986 · 54911 · 109822 · 164733 · 329466 · 494199 (half) · 988398

Aliquot sum (sum of proper divisors): 1,204,650

Factor pairs (a × b = 988,398)

1 × 988398

2 × 494199

3 × 329466

6 × 164733

9 × 109822

18 × 54911

43 × 22986

86 × 11493

129 × 7662

258 × 3831

387 × 2554

774 × 1277

First multiples

988,398 · 1,976,796 (double) · 2,965,194 · 3,953,592 · 4,941,990 · 5,930,388 · 6,918,786 · 7,907,184 · 8,895,582 · 9,883,980

Sums & aliquot sequence

As consecutive integers: 329,465 + 329,466 + 329,467 247,098 + 247,099 + 247,100 + 247,101 109,818 + 109,819 + … + 109,826 82,361 + 82,362 + … + 82,372

Aliquot sequence: 988,398 → 1,204,650 → 2,033,052 → 3,388,644 → 7,255,080 → 19,701,720 → 44,330,040 → 107,348,760 → 250,484,040 → 581,673,780 → 1,182,737,232 → 2,301,504,048 → 4,478,519,592 → 8,147,530,008 → 13,918,697,292 — keeps growing

Continued fraction of √n

√988,398 = [994; (5, 2, 31, 1, 1, 1, 1, 1, 1, 12, 2, 1, 1, 1, 2, 2, 1, 28, 1, 35, 1, 5, 1, 9, …)]

Representations

In words: nine hundred eighty-eight thousand three hundred ninety-eight
Ordinal: 988398th
Binary: 11110001010011101110
Octal: 3612356
Hexadecimal: 0xF14EE
Base64: DxTu
One's complement: 4,293,978,897 (32-bit)
Scientific notation: 9.88398 × 10⁵
As a duration: 988,398 s = 11 days, 10 hours, 33 minutes, 18 seconds

In other bases

ternary (3) 1212012211100

quaternary (4) 3301103232

quinary (5) 223112043

senary (6) 33103530

septenary (7) 11254425

nonary (9) 1765740

undecimal (11) 615664

duodecimal (12) 3b7ba6

tridecimal (13) 287b68

tetradecimal (14) 1ba2bc

pentadecimal (15) 147cd3

As an angle

988,398° = 2,745 × 360° + 198°

198° ≈ 3.456 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπητϟηʹ
Chinese: 九十八萬八千三百九十八
Chinese (financial): 玖拾捌萬捌仟參佰玖拾捌

In other modern scripts

Eastern Arabic ٩٨٨٣٩٨ Devanagari ९८८३९८ Bengali ৯৮৮৩৯৮ Tamil ௯௮௮௩௯௮ Thai ๙๘๘๓๙๘ Tibetan ༩༨༨༣༩༨ Khmer ៩៨៨៣៩៨ Lao ໙໘໘໓໙໘ Burmese ၉၈၈၃၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988398, here are decompositions:

31 + 988367 = 988398
41 + 988357 = 988398
79 + 988319 = 988398
101 + 988297 = 988398
127 + 988271 = 988398
167 + 988231 = 988398
179 + 988219 = 988398
181 + 988217 = 988398

Showing the first eight; more decompositions exist.

Hex color

#0F14EE

RGB(15, 20, 238)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.238.

Address: 0.15.20.238
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.20.238

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 988,398 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 US988,398 on Google Patents ↗ Look up on USPTO ↗