Live analysis

998,272

998,272 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.).

998,272 (nine hundred ninety-eight thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 11 × 709. Its proper divisors sum to 1,174,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3B80.

Abundant Number Evil Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

998,260 998,261 998,262 998,263 998,264 998,265 998,266 998,267 998,268 998,269 998,270 998,271 998,272 998,273 998,274 998,275 998,276 998,277 998,278 998,279 998,280 998,281 998,282 998,283 998,284

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 37
Digit product: 18,144
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 272,899
Square (n²): 996,546,985,984
Cube (n³): 994,824,952,792,219,648
Divisor count: 32
σ(n) — sum of divisors: 2,172,600
φ(n) — Euler's totient: 453,120
Sum of prime factors: 734

Primality

Prime factorization: 2 ⁷ × 11 × 709

Nearest primes: 998,243 (−29) · 998,273 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 64 · 88 · 128 · 176 · 352 · 704 · 709 · 1408 · 1418 · 2836 · 5672 · 7799 · 11344 · 15598 · 22688 · 31196 · 45376 · 62392 · 90752 · 124784 · 249568 · 499136 (half) · 998272

Aliquot sum (sum of proper divisors): 1,174,328

Factor pairs (a × b = 998,272)

1 × 998272

2 × 499136

4 × 249568

8 × 124784

11 × 90752

16 × 62392

22 × 45376

32 × 31196

44 × 22688

64 × 15598

88 × 11344

128 × 7799

176 × 5672

352 × 2836

704 × 1418

709 × 1408

First multiples

998,272 · 1,996,544 (double) · 2,994,816 · 3,993,088 · 4,991,360 · 5,989,632 · 6,987,904 · 7,986,176 · 8,984,448 · 9,982,720

Sums & aliquot sequence

As consecutive integers: 90,747 + 90,748 + … + 90,757 3,772 + 3,773 + … + 4,027 1,054 + 1,055 + … + 1,762

Aliquot sequence: 998,272 → 1,174,328 → 1,042,432 → 1,046,018 → 559,630 → 456,434 → 290,494 → 147,554 → 107,326 → 55,538 → 39,694 → 20,786 → 12,094 → 6,050 → 6,319 → 161 → 31 — unresolved within range

Continued fraction of √n

√998,272 = [999; (7, 2, 1, 2, 8, 3, 1, 1, 1, 1, 22, 2, 1, 3, 1, 6, 7, 1, 3, 1, 1, 2, 5, 2, …)]

Representations

In words: nine hundred ninety-eight thousand two hundred seventy-two
Ordinal: 998272nd
Binary: 11110011101110000000
Octal: 3635600
Hexadecimal: 0xF3B80
Base64: DzuA
One's complement: 4,293,969,023 (32-bit)
Scientific notation: 9.98272 × 10⁵
As a duration: 998,272 s = 11 days, 13 hours, 17 minutes, 52 seconds

In other bases

ternary (3) 1212201101001

quaternary (4) 3303232000

quinary (5) 223421042

senary (6) 33221344

septenary (7) 11325262

nonary (9) 1781331

undecimal (11) 622020

duodecimal (12) 401854

tridecimal (13) 28c4c2

tetradecimal (14) 1bdb32

pentadecimal (15) 14abb7

As an angle

998,272° = 2,772 × 360° + 352°

352° ≈ 6.144 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡϟησοβʹ
Chinese: 九十九萬八千二百七十二
Chinese (financial): 玖拾玖萬捌仟貳佰柒拾貳

In other modern scripts

Eastern Arabic ٩٩٨٢٧٢ Devanagari ९९८२७२ Bengali ৯৯৮২৭২ Tamil ௯௯௮௨௭௨ Thai ๙๙๘๒๗๒ Tibetan ༩༩༨༢༧༢ Khmer ៩៩៨២៧២ Lao ໙໙໘໒໗໒ Burmese ၉၉၈၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998272, here are decompositions:

29 + 998243 = 998272
53 + 998219 = 998272
59 + 998213 = 998272
71 + 998201 = 998272
263 + 998009 = 998272
281 + 997991 = 998272
311 + 997961 = 998272
383 + 997889 = 998272

Showing the first eight; more decompositions exist.

Hex color

#0F3B80

RGB(15, 59, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.128.

Address: 0.15.59.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.59.128

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 998,272 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 US998,272 on Google Patents ↗ Look up on USPTO ↗