Live analysis

988,116

988,116 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.).

988,116 (nine hundred eighty-eight thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 67 × 1,229. Its proper divisors sum to 1,353,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF13D4.

Abundant Number Arithmetic Number Cube-Free Flippable Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

988,104 988,105 988,106 988,107 988,108 988,109 988,110 988,111 988,112 988,113 988,114 988,115 988,116 988,117 988,118 988,119 988,120 988,121 988,122 988,123 988,124 988,125 988,126 988,127 988,128

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 3,456
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 611,889
Flips to (rotate 180°): 911,886
Square (n²): 976,373,229,456
Cube (n³): 964,770,009,997,144,896
Divisor count: 24
σ(n) — sum of divisors: 2,341,920
φ(n) — Euler's totient: 324,192
Sum of prime factors: 1,303

Primality

Prime factorization: 2 ² × 3 × 67 × 1229

Nearest primes: 988,111 (−5) · 988,129 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 67 · 134 · 201 · 268 · 402 · 804 · 1229 · 2458 · 3687 · 4916 · 7374 · 14748 · 82343 · 164686 · 247029 · 329372 · 494058 (half) · 988116

Aliquot sum (sum of proper divisors): 1,353,804

Factor pairs (a × b = 988,116)

1 × 988116

2 × 494058

3 × 329372

4 × 247029

6 × 164686

12 × 82343

67 × 14748

134 × 7374

201 × 4916

268 × 3687

402 × 2458

804 × 1229

First multiples

988,116 · 1,976,232 (double) · 2,964,348 · 3,952,464 · 4,940,580 · 5,928,696 · 6,916,812 · 7,904,928 · 8,893,044 · 9,881,160

Sums & aliquot sequence

As consecutive integers: 329,371 + 329,372 + 329,373 123,511 + 123,512 + … + 123,518 41,160 + 41,161 + … + 41,183 14,715 + 14,716 + … + 14,781

Aliquot sequence: 988,116 → 1,353,804 → 1,839,204 → 2,913,180 → 5,602,404 → 8,086,236 → 11,221,668 → 17,144,306 → 8,591,338 → 6,136,694 → 3,609,874 → 1,804,940 → 1,985,476 → 1,515,084 → 2,020,140 → 4,688,100 → 10,009,310 — unresolved within range

Continued fraction of √n

√988,116 = [994; (24, 1, 5, 1, 2, 4, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 9, 1, 1, 1, 1, 6, …)]

Representations

In words: nine hundred eighty-eight thousand one hundred sixteen
Ordinal: 988116th
Binary: 11110001001111010100
Octal: 3611724
Hexadecimal: 0xF13D4
Base64: DxPU
One's complement: 4,293,979,179 (32-bit)
Scientific notation: 9.88116 × 10⁵
As a duration: 988,116 s = 11 days, 10 hours, 28 minutes, 36 seconds

In other bases

ternary (3) 1212012102220

quaternary (4) 3301033110

quinary (5) 223104431

senary (6) 33102340

septenary (7) 11253543

nonary (9) 1765386

undecimal (11) 615428

duodecimal (12) 3b79b0

tridecimal (13) 2879ac

tetradecimal (14) 1ba15a

pentadecimal (15) 147b96

As an angle

988,116° = 2,744 × 360° + 276°

276° ≈ 4.817 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηριϛʹ
Chinese: 九十八萬八千一百一十六
Chinese (financial): 玖拾捌萬捌仟壹佰壹拾陸

In other modern scripts

Eastern Arabic ٩٨٨١١٦ Devanagari ९८८११६ Bengali ৯৮৮১১৬ Tamil ௯௮௮௧௧௬ Thai ๙๘๘๑๑๖ Tibetan ༩༨༨༡༡༦ Khmer ៩៨៨១១៦ Lao ໙໘໘໑໑໖ Burmese ၉၈၈၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988116, here are decompositions:

5 + 988111 = 988116
7 + 988109 = 988116
23 + 988093 = 988116
47 + 988069 = 988116
83 + 988033 = 988116
109 + 988007 = 988116
137 + 987979 = 988116
307 + 987809 = 988116

Showing the first eight; more decompositions exist.

Hex color

#0F13D4

RGB(15, 19, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.212.

Address: 0.15.19.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.212

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 988,116 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 US988,116 on Google Patents ↗ Look up on USPTO ↗