Live analysis

988,108

988,108 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.).

988,108 (nine hundred eighty-eight thousand one hundred eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 17 × 1,321. Its proper divisors sum to 1,010,756, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF13CC.

Abundant Number Arithmetic Number Cube-Free Flippable Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

988,096 988,097 988,098 988,099 988,100 988,101 988,102 988,103 988,104 988,105 988,106 988,107 988,108 988,109 988,110 988,111 988,112 988,113 988,114 988,115 988,116 988,117 988,118 988,119 988,120

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 34
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 801,889
Flips to (rotate 180°): 801,886
Square (n²): 976,357,419,664
Cube (n³): 964,746,577,229,355,712
Divisor count: 24
σ(n) — sum of divisors: 1,998,864
φ(n) — Euler's totient: 422,400
Sum of prime factors: 1,353

Primality

Prime factorization: 2 ² × 11 × 17 × 1321

Nearest primes: 988,093 (−15) · 988,109 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 11 · 17 · 22 · 34 · 44 · 68 · 187 · 374 · 748 · 1321 · 2642 · 5284 · 14531 · 22457 · 29062 · 44914 · 58124 · 89828 · 247027 · 494054 (half) · 988108

Aliquot sum (sum of proper divisors): 1,010,756

Factor pairs (a × b = 988,108)

1 × 988108

2 × 494054

4 × 247027

11 × 89828

17 × 58124

22 × 44914

34 × 29062

44 × 22457

68 × 14531

187 × 5284

374 × 2642

748 × 1321

First multiples

988,108 · 1,976,216 (double) · 2,964,324 · 3,952,432 · 4,940,540 · 5,928,648 · 6,916,756 · 7,904,864 · 8,892,972 · 9,881,080

Sums & aliquot sequence

As consecutive integers: 123,510 + 123,511 + … + 123,517 89,823 + 89,824 + … + 89,833 58,116 + 58,117 + … + 58,132 11,185 + 11,186 + … + 11,272

Aliquot sequence: 988,108 → 1,010,756 → 783,484 → 804,956 → 627,244 → 477,524 → 385,324 → 289,000 → 429,380 → 601,468 → 601,524 → 1,390,284 → 2,770,180 → 4,035,836 → 4,343,164 → 4,498,676 → 5,774,860 — unresolved within range

Continued fraction of √n

√988,108 = [994; (27, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 1, 11, 5, 1, 1, 1, 2, 9, 1, 3, 3, 1, …)]

Representations

In words: nine hundred eighty-eight thousand one hundred eight
Ordinal: 988108th
Binary: 11110001001111001100
Octal: 3611714
Hexadecimal: 0xF13CC
Base64: DxPM
One's complement: 4,293,979,187 (32-bit)
Scientific notation: 9.88108 × 10⁵
As a duration: 988,108 s = 11 days, 10 hours, 28 minutes, 28 seconds

In other bases

ternary (3) 1212012102121

quaternary (4) 3301033030

quinary (5) 223104413

senary (6) 33102324

septenary (7) 11253532

nonary (9) 1765377

undecimal (11) 615420

duodecimal (12) 3b79a4

tridecimal (13) 2879a4

tetradecimal (14) 1ba152

pentadecimal (15) 147b8d

Palindromic in base 3

As an angle

988,108° = 2,744 × 360° + 268°

268° ≈ 4.677 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηρηʹ
Chinese: 九十八萬八千一百零八
Chinese (financial): 玖拾捌萬捌仟壹佰零捌

In other modern scripts

Eastern Arabic ٩٨٨١٠٨ Devanagari ९८८१०८ Bengali ৯৮৮১০৮ Tamil ௯௮௮௧௦௮ Thai ๙๘๘๑๐๘ Tibetan ༩༨༨༡༠༨ Khmer ៩៨៨១០៨ Lao ໙໘໘໑໐໘ Burmese ၉၈၈၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988108, here are decompositions:

41 + 988067 = 988108
47 + 988061 = 988108
101 + 988007 = 988108
137 + 987971 = 988108
167 + 987941 = 988108
179 + 987929 = 988108
197 + 987911 = 988108
239 + 987869 = 988108

Showing the first eight; more decompositions exist.

Hex color

#0F13CC

RGB(15, 19, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.204.

Address: 0.15.19.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.204

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 988,108 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 US988,108 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988108 first appears in π at position 52,829 of the decimal expansion (the 52,829ordinal-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 988108 on Pi Search ↗