Live analysis

998,304

998,304 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.).

998,304 (nine hundred ninety-eight thousand three hundred four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 10,399. Its proper divisors sum to 1,622,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3BA0.

Abundant Number Arithmetic Number Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

998,292 998,293 998,294 998,295 998,296 998,297 998,298 998,299 998,300 998,301 998,302 998,303 998,304 998,305 998,306 998,307 998,308 998,309 998,310 998,311 998,312 998,313 998,314 998,315 998,316

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 403,899
Square (n²): 996,610,876,416
Cube (n³): 994,920,624,369,598,464
Divisor count: 24
σ(n) — sum of divisors: 2,620,800
φ(n) — Euler's totient: 332,736
Sum of prime factors: 10,412

Primality

Prime factorization: 2 ⁵ × 3 × 10399

Nearest primes: 998,287 (−17) · 998,311 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 10399 · 20798 · 31197 · 41596 · 62394 · 83192 · 124788 · 166384 · 249576 · 332768 · 499152 (half) · 998304

Aliquot sum (sum of proper divisors): 1,622,496

Factor pairs (a × b = 998,304)

1 × 998304

2 × 499152

3 × 332768

4 × 249576

6 × 166384

8 × 124788

12 × 83192

16 × 62394

24 × 41596

32 × 31197

48 × 20798

96 × 10399

First multiples

998,304 · 1,996,608 (double) · 2,994,912 · 3,993,216 · 4,991,520 · 5,989,824 · 6,988,128 · 7,986,432 · 8,984,736 · 9,983,040

Sums & aliquot sequence

As consecutive integers: 332,767 + 332,768 + 332,769 15,567 + 15,568 + … + 15,630 5,104 + 5,105 + … + 5,295

Aliquot sequence: 998,304 → 1,622,496 → 2,636,808 → 4,002,552 → 7,313,688 → 12,651,192 → 23,712,408 → 41,573,592 → 72,462,408 → 109,856,952 → 199,896,648 → 385,186,872 → 745,109,448 → 1,117,664,232 → 1,676,496,408 → 2,514,744,672 → 4,686,572,640 — unresolved within range

Continued fraction of √n

√998,304 = [999; (6, 1, 1, 2, 6, 1, 20, 5, 1, 7, 2, 5, 3, 9, 1, 1, 1, 2, 5, 1, 1, 2, 3, 12, …)]

Representations

In words: nine hundred ninety-eight thousand three hundred four
Ordinal: 998304th
Binary: 11110011101110100000
Octal: 3635640
Hexadecimal: 0xF3BA0
Base64: Dzug
One's complement: 4,293,968,991 (32-bit)
Scientific notation: 9.98304 × 10⁵
As a duration: 998,304 s = 11 days, 13 hours, 18 minutes, 24 seconds

In other bases

ternary (3) 1212201102020

quaternary (4) 3303232200

quinary (5) 223421204

senary (6) 33221440

septenary (7) 11325336

nonary (9) 1781366

undecimal (11) 62204a

duodecimal (12) 401880

tridecimal (13) 28c518

tetradecimal (14) 1bdb56

pentadecimal (15) 14abd9

As an angle

998,304° = 2,773 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟητδʹ
Chinese: 九十九萬八千三百零四
Chinese (financial): 玖拾玖萬捌仟參佰零肆

In other modern scripts

Eastern Arabic ٩٩٨٣٠٤ Devanagari ९९८३०४ Bengali ৯৯৮৩০৪ Tamil ௯௯௮௩௦௪ Thai ๙๙๘๓๐๔ Tibetan ༩༩༨༣༠༤ Khmer ៩៩៨៣០៤ Lao ໙໙໘໓໐໔ Burmese ၉၉၈၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998304, here are decompositions:

17 + 998287 = 998304
23 + 998281 = 998304
31 + 998273 = 998304
61 + 998243 = 998304
67 + 998237 = 998304
103 + 998201 = 998304
107 + 998197 = 998304
137 + 998167 = 998304

Showing the first eight; more decompositions exist.

Hex color

#0F3BA0

RGB(15, 59, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.160.

Address: 0.15.59.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.59.160

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 998,304 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 US998,304 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998304 first appears in π at position 36,177 of the decimal expansion (the 36,177ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 998304 on Pi Search ↗