Live analysis

998,160

998,160 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.).

998,160 (nine hundred ninety-eight thousand one hundred sixty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 4,159. Its proper divisors sum to 2,096,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3B10.

Abundant Number Arithmetic Number Evil Number Flippable Happy Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

998,148 998,149 998,150 998,151 998,152 998,153 998,154 998,155 998,156 998,157 998,158 998,159 998,160 998,161 998,162 998,163 998,164 998,165 998,166 998,167 998,168 998,169 998,170 998,171 998,172

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 61,899
Flips to (rotate 180°): 91,866
Square (n²): 996,323,385,600
Cube (n³): 994,490,150,570,496,000
Divisor count: 40
σ(n) — sum of divisors: 3,095,040
φ(n) — Euler's totient: 266,112
Sum of prime factors: 4,175

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 4159

Nearest primes: 998,147 (−13) · 998,161 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 4159 · 8318 · 12477 · 16636 · 20795 · 24954 · 33272 · 41590 · 49908 · 62385 · 66544 · 83180 · 99816 · 124770 · 166360 · 199632 · 249540 · 332720 · 499080 (half) · 998160

Aliquot sum (sum of proper divisors): 2,096,880

Factor pairs (a × b = 998,160)

1 × 998160

2 × 499080

3 × 332720

4 × 249540

5 × 199632

6 × 166360

8 × 124770

10 × 99816

12 × 83180

15 × 66544

16 × 62385

20 × 49908

24 × 41590

30 × 33272

40 × 24954

48 × 20795

60 × 16636

80 × 12477

120 × 8318

240 × 4159

First multiples

998,160 · 1,996,320 (double) · 2,994,480 · 3,992,640 · 4,990,800 · 5,988,960 · 6,987,120 · 7,985,280 · 8,983,440 · 9,981,600

Sums & aliquot sequence

As consecutive integers: 332,719 + 332,720 + 332,721 199,630 + 199,631 + 199,632 + 199,633 + 199,634 66,537 + 66,538 + … + 66,551 31,177 + 31,178 + … + 31,208

Aliquot sequence: 998,160 → 2,096,880 → 4,404,192 → 8,049,648 → 13,064,080 → 17,739,752 → 15,575,548 → 11,730,164 → 8,797,630 → 7,071,890 → 7,476,142 → 4,272,098 → 2,199,802 → 1,399,910 → 1,119,946 → 559,976 → 489,994 — unresolved within range

Continued fraction of √n

√998,160 = [999; (12, 1, 1, 3, 3, 1, 7, 1, 7, 1, 1, 2, 1, 1, 2, 4, 1, 4, 14, 15, 2, 2, 1, 1, …)]

Representations

In words: nine hundred ninety-eight thousand one hundred sixty
Ordinal: 998160th
Binary: 11110011101100010000
Octal: 3635420
Hexadecimal: 0xF3B10
Base64: DzsQ
One's complement: 4,293,969,135 (32-bit)
Scientific notation: 9.9816 × 10⁵
As a duration: 998,160 s = 11 days, 13 hours, 16 minutes

In other bases

ternary (3) 1212201012220

quaternary (4) 3303230100

quinary (5) 223420120

senary (6) 33221040

septenary (7) 11325042

nonary (9) 1781186

undecimal (11) 621a29

duodecimal (12) 401780

tridecimal (13) 28c437

tetradecimal (14) 1bda92

pentadecimal (15) 14ab40

As an angle

998,160° = 2,772 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϡϟηρξʹ
Chinese: 九十九萬八千一百六十
Chinese (financial): 玖拾玖萬捌仟壹佰陸拾

In other modern scripts

Eastern Arabic ٩٩٨١٦٠ Devanagari ९९८१६० Bengali ৯৯৮১৬০ Tamil ௯௯௮௧௬௦ Thai ๙๙๘๑๖๐ Tibetan ༩༩༨༡༦༠ Khmer ៩៩៨១៦០ Lao ໙໙໘໑໖໐ Burmese ၉၉၈၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998160, here are decompositions:

13 + 998147 = 998160
43 + 998117 = 998160
83 + 998077 = 998160
89 + 998071 = 998160
131 + 998029 = 998160
151 + 998009 = 998160
197 + 997963 = 998160
199 + 997961 = 998160

Showing the first eight; more decompositions exist.

Hex color

#0F3B10

RGB(15, 59, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.16.

Address: 0.15.59.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.59.16

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 998,160 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 US998,160 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998160 first appears in π at position 656,541 of the decimal expansion (the 656,541ordinal-suffix:st 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 998160 on Pi Search ↗