Live analysis

998,080

998,080 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.).

998,080 (nine hundred ninety-eight thousand eighty) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 3,119. Its proper divisors sum to 1,379,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3AC0.

Abundant Number Evil Number Flippable Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

998,068 998,069 998,070 998,071 998,072 998,073 998,074 998,075 998,076 998,077 998,078 998,079 998,080 998,081 998,082 998,083 998,084 998,085 998,086 998,087 998,088 998,089 998,090 998,091 998,092

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 34
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 80,899
Flips to (rotate 180°): 80,866
Square (n²): 996,163,686,400
Cube (n³): 994,251,052,122,112,000
Divisor count: 28
σ(n) — sum of divisors: 2,377,440
φ(n) — Euler's totient: 399,104
Sum of prime factors: 3,136

Primality

Prime factorization: 2 ⁶ × 5 × 3119

Nearest primes: 998,077 (−3) · 998,083 (+3)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 160 · 320 · 3119 · 6238 · 12476 · 15595 · 24952 · 31190 · 49904 · 62380 · 99808 · 124760 · 199616 · 249520 · 499040 (half) · 998080

Aliquot sum (sum of proper divisors): 1,379,360

Factor pairs (a × b = 998,080)

1 × 998080

2 × 499040

4 × 249520

5 × 199616

8 × 124760

10 × 99808

16 × 62380

20 × 49904

32 × 31190

40 × 24952

64 × 15595

80 × 12476

160 × 6238

320 × 3119

First multiples

998,080 · 1,996,160 (double) · 2,994,240 · 3,992,320 · 4,990,400 · 5,988,480 · 6,986,560 · 7,984,640 · 8,982,720 · 9,980,800

Sums & aliquot sequence

As consecutive integers: 199,614 + 199,615 + 199,616 + 199,617 + 199,618 7,734 + 7,735 + … + 7,861 1,240 + 1,241 + … + 1,879

Aliquot sequence: 998,080 → 1,379,360 → 1,981,816 → 1,756,424 → 1,557,796 → 1,183,964 → 896,380 → 986,060 → 1,130,740 → 1,427,060 → 1,569,808 → 1,547,180 → 1,701,940 → 1,957,100 → 2,290,024 → 2,492,216 → 2,258,224 — unresolved within range

Continued fraction of √n

√998,080 = [999; (25, 3, 2, 3, 64, 6, 6, 1, 1, 1, 1, 5, 5, 2, 1, 1, 2, 1, 1, 4, 1, 1, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-eight thousand eighty
Ordinal: 998080th
Binary: 11110011101011000000
Octal: 3635300
Hexadecimal: 0xF3AC0
Base64: DzrA
One's complement: 4,293,969,215 (32-bit)
Scientific notation: 9.9808 × 10⁵
As a duration: 998,080 s = 11 days, 13 hours, 14 minutes, 40 seconds

In other bases

ternary (3) 1212201002221

quaternary (4) 3303223000

quinary (5) 223414310

senary (6) 33220424

septenary (7) 11324566

nonary (9) 1781087

undecimal (11) 621966

duodecimal (12) 401714

tridecimal (13) 28c3a5

tetradecimal (14) 1bda36

pentadecimal (15) 14aada

As an angle

998,080° = 2,772 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϡϟηπʹ
Chinese: 九十九萬八千零八十
Chinese (financial): 玖拾玖萬捌仟零捌拾

In other modern scripts

Eastern Arabic ٩٩٨٠٨٠ Devanagari ९९८०८० Bengali ৯৯৮০৮০ Tamil ௯௯௮௦௮௦ Thai ๙๙๘๐๘๐ Tibetan ༩༩༨༠༨༠ Khmer ៩៩៨០៨០ Lao ໙໙໘໐໘໐ Burmese ၉၉၈၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998080, here are decompositions:

3 + 998077 = 998080
11 + 998069 = 998080
53 + 998027 = 998080
71 + 998009 = 998080
89 + 997991 = 998080
107 + 997973 = 998080
131 + 997949 = 998080
191 + 997889 = 998080

Showing the first eight; more decompositions exist.

Hex color

#0F3AC0

RGB(15, 58, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.192.

Address: 0.15.58.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.192

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 998,080 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 US998,080 on Google Patents ↗ Look up on USPTO ↗