Live analysis

988,104

988,104 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.).

988,104 (nine hundred eighty-eight thousand one hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 13 × 3,167. Its proper divisors sum to 1,673,016, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF13C8.

Abundant Number Arithmetic Number Evil Number Happy Number Semiperfect Number Smith Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

988,092 988,093 988,094 988,095 988,096 988,097 988,098 988,099 988,100 988,101 988,102 988,103 988,104 988,105 988,106 988,107 988,108 988,109 988,110 988,111 988,112 988,113 988,114 988,115 988,116

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 401,889
Square (n²): 976,349,514,816
Cube (n³): 964,734,860,987,748,864
Divisor count: 32
σ(n) — sum of divisors: 2,661,120
φ(n) — Euler's totient: 303,936
Sum of prime factors: 3,189

Primality

Prime factorization: 2 ³ × 3 × 13 × 3167

Nearest primes: 988,093 (−11) · 988,109 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 24 · 26 · 39 · 52 · 78 · 104 · 156 · 312 · 3167 · 6334 · 9501 · 12668 · 19002 · 25336 · 38004 · 41171 · 76008 · 82342 · 123513 · 164684 · 247026 · 329368 · 494052 (half) · 988104

Aliquot sum (sum of proper divisors): 1,673,016

Factor pairs (a × b = 988,104)

1 × 988104

2 × 494052

3 × 329368

4 × 247026

6 × 164684

8 × 123513

12 × 82342

13 × 76008

24 × 41171

26 × 38004

39 × 25336

52 × 19002

78 × 12668

104 × 9501

156 × 6334

312 × 3167

First multiples

988,104 · 1,976,208 (double) · 2,964,312 · 3,952,416 · 4,940,520 · 5,928,624 · 6,916,728 · 7,904,832 · 8,892,936 · 9,881,040

Sums & aliquot sequence

As consecutive integers: 329,367 + 329,368 + 329,369 76,002 + 76,003 + … + 76,014 61,749 + 61,750 + … + 61,764 25,317 + 25,318 + … + 25,355

Aliquot sequence: 988,104 → 1,673,016 → 2,509,584 → 5,802,384 → 11,641,440 → 25,614,240 → 63,001,056 → 105,907,488 → 172,099,920 → 388,578,480 → 822,400,560 → 2,266,687,440 → 5,366,116,440 → 12,402,879,480 — keeps growing

Continued fraction of √n

√988,104 = [994; (29, 4, 4, 6, 1, 1, 1, 4, 5, 1, 2, 1, 1, 3, 2, 1, 20, 4, 3, 4, 1, 3, 86, 5, …)]

Representations

In words: nine hundred eighty-eight thousand one hundred four
Ordinal: 988104th
Binary: 11110001001111001000
Octal: 3611710
Hexadecimal: 0xF13C8
Base64: DxPI
One's complement: 4,293,979,191 (32-bit)
Scientific notation: 9.88104 × 10⁵
As a duration: 988,104 s = 11 days, 10 hours, 28 minutes, 24 seconds

In other bases

ternary (3) 1212012102110

quaternary (4) 3301033020

quinary (5) 223104404

senary (6) 33102320

septenary (7) 11253525

nonary (9) 1765373

undecimal (11) 615417

duodecimal (12) 3b79a0

tridecimal (13) 2879a0

tetradecimal (14) 1ba14c

pentadecimal (15) 147b89

As an angle

988,104° = 2,744 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηρδʹ
Chinese: 九十八萬八千一百零四
Chinese (financial): 玖拾捌萬捌仟壹佰零肆

In other modern scripts

Eastern Arabic ٩٨٨١٠٤ Devanagari ९८८१०४ Bengali ৯৮৮১০৪ Tamil ௯௮௮௧௦௪ Thai ๙๘๘๑๐๔ Tibetan ༩༨༨༡༠༤ Khmer ៩៨៨១០៤ Lao ໙໘໘໑໐໔ Burmese ၉၈၈၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988104, here are decompositions:

11 + 988093 = 988104
37 + 988067 = 988104
43 + 988061 = 988104
53 + 988051 = 988104
71 + 988033 = 988104
83 + 988021 = 988104
97 + 988007 = 988104
107 + 987997 = 988104

Showing the first eight; more decompositions exist.

Hex color

#0F13C8

RGB(15, 19, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.200.

Address: 0.15.19.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.200

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 988,104 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 US988,104 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988104 first appears in π at position 95,938 of the decimal expansion (the 95,938ordinal-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 988104 on Pi Search ↗