Live analysis

998,100

998,100 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.).

998,100 (nine hundred ninety-eight thousand one hundred) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2² × 3² × 5² × 1,109. Its proper divisors sum to 2,133,210, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3AD4.

Abundant Number Cube-Free Evil Number Flippable Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

998,088 998,089 998,090 998,091 998,092 998,093 998,094 998,095 998,096 998,097 998,098 998,099 998,100 998,101 998,102 998,103 998,104 998,105 998,106 998,107 998,108 998,109 998,110 998,111 998,112

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 1,899
Flips to (rotate 180°): 1,866
Square (n²): 996,203,610,000
Cube (n³): 994,310,823,141,000,000
Divisor count: 54
σ(n) — sum of divisors: 3,131,310
φ(n) — Euler's totient: 265,920
Sum of prime factors: 1,129

Primality

Prime factorization: 2 ² × 3 ² × 5 ² × 1109

Nearest primes: 998,083 (−17) · 998,111 (+11)

Divisors & multiples

All divisors (54)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 25 · 30 · 36 · 45 · 50 · 60 · 75 · 90 · 100 · 150 · 180 · 225 · 300 · 450 · 900 · 1109 · 2218 · 3327 · 4436 · 5545 · 6654 · 9981 · 11090 · 13308 · 16635 · 19962 · 22180 · 27725 · 33270 · 39924 · 49905 · 55450 · 66540 · 83175 · 99810 · 110900 · 166350 · 199620 · 249525 · 332700 · 499050 (half) · 998100

Aliquot sum (sum of proper divisors): 2,133,210

Factor pairs (a × b = 998,100)

1 × 998100

2 × 499050

3 × 332700

4 × 249525

5 × 199620

6 × 166350

9 × 110900

10 × 99810

12 × 83175

15 × 66540

18 × 55450

20 × 49905

25 × 39924

30 × 33270

36 × 27725

45 × 22180

50 × 19962

60 × 16635

75 × 13308

90 × 11090

100 × 9981

150 × 6654

180 × 5545

225 × 4436

300 × 3327

450 × 2218

900 × 1109

First multiples

998,100 · 1,996,200 (double) · 2,994,300 · 3,992,400 · 4,990,500 · 5,988,600 · 6,986,700 · 7,984,800 · 8,982,900 · 9,981,000

Sums & aliquot sequence

As a sum of two squares: 78² + 996² = 204² + 978² = 660² + 750²

As consecutive integers: 332,699 + 332,700 + 332,701 199,618 + 199,619 + 199,620 + 199,621 + 199,622 124,759 + 124,760 + … + 124,766 110,896 + 110,897 + … + 110,904

Aliquot sequence: 998,100 → 2,133,210 → 3,026,022 → 3,026,034 → 5,061,006 → 5,904,546 → 5,904,558 → 8,162,586 → 10,240,614 → 12,845,466 → 16,018,278 → 16,143,258 → 17,241,702 → 19,056,858 → 19,926,822 → 22,467,930 → 32,712,294 — unresolved within range

Continued fraction of √n

√998,100 = [999; (20, 5, 2, 16, 17, 6, 11, 5, 3, 13, 1, 1, 3, 2, 10, 1, 10, 1, 3, 2, 1, 1, 3, 2, …)]

Representations

In words: nine hundred ninety-eight thousand one hundred
Ordinal: 998100th
Binary: 11110011101011010100
Octal: 3635324
Hexadecimal: 0xF3AD4
Base64: DzrU
One's complement: 4,293,969,195 (32-bit)
Scientific notation: 9.981 × 10⁵
As a duration: 998,100 s = 11 days, 13 hours, 15 minutes

In other bases

ternary (3) 1212201010200

quaternary (4) 3303223110

quinary (5) 223414400

senary (6) 33220500

septenary (7) 11324625

nonary (9) 1781120

undecimal (11) 621984

duodecimal (12) 401730

tridecimal (13) 28c3bc

tetradecimal (14) 1bda4c

pentadecimal (15) 14ab00

As an angle

998,100° = 2,772 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢
Greek (Milesian): ͵ϡϟηρʹ
Chinese: 九十九萬八千一百
Chinese (financial): 玖拾玖萬捌仟壹佰

In other modern scripts

Eastern Arabic ٩٩٨١٠٠ Devanagari ९९८१०० Bengali ৯৯৮১০০ Tamil ௯௯௮௧௦௦ Thai ๙๙๘๑๐๐ Tibetan ༩༩༨༡༠༠ Khmer ៩៩៨១០០ Lao ໙໙໘໑໐໐ Burmese ၉၉၈၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998100, here are decompositions:

17 + 998083 = 998100
23 + 998077 = 998100
29 + 998071 = 998100
31 + 998069 = 998100
71 + 998029 = 998100
73 + 998027 = 998100
83 + 998017 = 998100
109 + 997991 = 998100

Showing the first eight; more decompositions exist.

Hex color

#0F3AD4

RGB(15, 58, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.212.

Address: 0.15.58.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.212

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 998,100 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 US998,100 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998100 first appears in π at position 119,498 of the decimal expansion (the 119,498ordinal-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 998100 on Pi Search ↗