Live analysis

988,008

988,008 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.).

988,008 (nine hundred eighty-eight thousand eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 7 × 5,881. Its proper divisors sum to 1,835,352, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1368.

Abundant Number Arithmetic Number Evil Number Flippable Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

987,996 987,997 987,998 987,999 988,000 988,001 988,002 988,003 988,004 988,005 988,006 988,007 988,008 988,009 988,010 988,011 988,012 988,013 988,014 988,015 988,016 988,017 988,018 988,019 988,020

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 800,889
Flips to (rotate 180°): 800,886
Recamán's sequence: a(330,623) = 988,008
Square (n²): 976,159,808,064
Cube (n³): 964,453,699,645,696,512
Divisor count: 32
σ(n) — sum of divisors: 2,823,360
φ(n) — Euler's totient: 282,240
Sum of prime factors: 5,897

Primality

Prime factorization: 2 ³ × 3 × 7 × 5881

Nearest primes: 988,007 (−1) · 988,021 (+13)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 42 · 56 · 84 · 168 · 5881 · 11762 · 17643 · 23524 · 35286 · 41167 · 47048 · 70572 · 82334 · 123501 · 141144 · 164668 · 247002 · 329336 · 494004 (half) · 988008

Aliquot sum (sum of proper divisors): 1,835,352

Factor pairs (a × b = 988,008)

1 × 988008

2 × 494004

3 × 329336

4 × 247002

6 × 164668

7 × 141144

8 × 123501

12 × 82334

14 × 70572

21 × 47048

24 × 41167

28 × 35286

42 × 23524

56 × 17643

84 × 11762

168 × 5881

First multiples

988,008 · 1,976,016 (double) · 2,964,024 · 3,952,032 · 4,940,040 · 5,928,048 · 6,916,056 · 7,904,064 · 8,892,072 · 9,880,080

Sums & aliquot sequence

As consecutive integers: 329,335 + 329,336 + 329,337 141,141 + 141,142 + … + 141,147 61,743 + 61,744 + … + 61,758 47,038 + 47,039 + … + 47,058

Aliquot sequence: 988,008 → 1,835,352 → 3,456,648 → 6,892,152 → 10,338,288 → 16,369,080 → 44,110,920 → 116,074,680 → 232,149,720 → 531,246,120 → 1,062,492,600 → 2,484,624,120 → 6,178,461,960 → 14,041,963,320 — keeps growing

Continued fraction of √n

√988,008 = [993; (1, 69, 1, 1986)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand eight
Ordinal: 988008th
Binary: 11110001001101101000
Octal: 3611550
Hexadecimal: 0xF1368
Base64: DxNo
One's complement: 4,293,979,287 (32-bit)
Scientific notation: 9.88008 × 10⁵
As a duration: 988,008 s = 11 days, 10 hours, 26 minutes, 48 seconds

In other bases

ternary (3) 1212012021220

quaternary (4) 3301031220

quinary (5) 223104013

senary (6) 33102040

septenary (7) 11253330

nonary (9) 1765256

undecimal (11) 61533a

duodecimal (12) 3b7920

tridecimal (13) 287928

tetradecimal (14) 1ba0c0

pentadecimal (15) 147b23

As an angle

988,008° = 2,744 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηηʹ
Chinese: 九十八萬八千零八
Chinese (financial): 玖拾捌萬捌仟零捌

In other modern scripts

Eastern Arabic ٩٨٨٠٠٨ Devanagari ९८८००८ Bengali ৯৮৮০০৮ Tamil ௯௮௮௦௦௮ Thai ๙๘๘๐๐๘ Tibetan ༩༨༨༠༠༨ Khmer ៩៨៨០០៨ Lao ໙໘໘໐໐໘ Burmese ၉၈၈၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988008, here are decompositions:

11 + 987997 = 988008
17 + 987991 = 988008
29 + 987979 = 988008
37 + 987971 = 988008
67 + 987941 = 988008
79 + 987929 = 988008
97 + 987911 = 988008
139 + 987869 = 988008

Showing the first eight; more decompositions exist.

Hex color

#0F1368

RGB(15, 19, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.104.

Address: 0.15.19.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.104

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 988,008 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 US988,008 on Google Patents ↗ Look up on USPTO ↗