Live analysis

988,036

988,036 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.).

988,036 (nine hundred eighty-eight thousand thirty-six) is an even 6-digit number. It is a composite number with 27 divisors, and factors as 2² × 7² × 71². Its proper divisors sum to 1,052,051, more than the number itself, making it an abundant number. It is a perfect square (994²). Written other ways, in hexadecimal, 0xF1384.

Abundant Number Cube-Free Odious Number Perfect Square Powerful Number Practical Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

988,024 988,025 988,026 988,027 988,028 988,029 988,030 988,031 988,032 988,033 988,034 988,035 988,036 988,037 988,038 988,039 988,040 988,041 988,042 988,043 988,044 988,045 988,046 988,047 988,048

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 34
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 630,889
Recamán's sequence: a(330,567) = 988,036
Square (n²): 976,215,137,296
Cube (n³): 964,535,699,393,390,656
Square root (√n): 994
Divisor count: 27
σ(n) — sum of divisors: 2,040,087
φ(n) — Euler's totient: 417,480
Sum of prime factors: 160

Primality

Prime factorization: 2 ² × 7 ² × 71 ²

Nearest primes: 988,033 (−3) · 988,051 (+15)

Divisors & multiples

All divisors (27)

1 · 2 · 4 · 7 · 14 · 28 · 49 · 71 · 98 · 142 · 196 · 284 · 497 · 994 · 1988 · 3479 · 5041 · 6958 · 10082 · 13916 · 20164 · 35287 · 70574 · 141148 · 247009 · 494018 (half) · 988036

Aliquot sum (sum of proper divisors): 1,052,051

Factor pairs (a × b = 988,036)

1 × 988036

2 × 494018

4 × 247009

7 × 141148

14 × 70574

28 × 35287

49 × 20164

71 × 13916

98 × 10082

142 × 6958

196 × 5041

284 × 3479

497 × 1988

994 × 994

First multiples

988,036 · 1,976,072 (double) · 2,964,108 · 3,952,144 · 4,940,180 · 5,928,216 · 6,916,252 · 7,904,288 · 8,892,324 · 9,880,360

Sums & aliquot sequence

As a sum of two squares: 0² + 994²

As consecutive integers: 141,145 + 141,146 + … + 141,151 123,501 + 123,502 + … + 123,508 20,140 + 20,141 + … + 20,188 17,616 + 17,617 + … + 17,671

Aliquot sequence: 988,036 → 1,052,051 → 361,837 → 51,699 → 20,941 → 531 → 249 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Representations

In words: nine hundred eighty-eight thousand thirty-six
Ordinal: 988036th
Binary: 11110001001110000100
Octal: 3611604
Hexadecimal: 0xF1384
Base64: DxOE
One's complement: 4,293,979,259 (32-bit)
Scientific notation: 9.88036 × 10⁵
As a duration: 988,036 s = 11 days, 10 hours, 27 minutes, 16 seconds

In other bases

ternary (3) 1212012022221

quaternary (4) 3301032010

quinary (5) 223104121

senary (6) 33102124

septenary (7) 11253400

nonary (9) 1765287

undecimal (11) 615365

duodecimal (12) 3b7944

tridecimal (13) 28794a

tetradecimal (14) 1ba100

pentadecimal (15) 147b41

As an angle

988,036° = 2,744 × 360° + 196°

196° ≈ 3.421 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηλϛʹ
Chinese: 九十八萬八千零三十六
Chinese (financial): 玖拾捌萬捌仟零參拾陸

In other modern scripts

Eastern Arabic ٩٨٨٠٣٦ Devanagari ९८८०३६ Bengali ৯৮৮০৩৬ Tamil ௯௮௮௦௩௬ Thai ๙๘๘๐๓๖ Tibetan ༩༨༨༠༣༦ Khmer ៩៨៨០៣៦ Lao ໙໘໘໐໓໖ Burmese ၉၈၈၀၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988036, here are decompositions:

3 + 988033 = 988036
29 + 988007 = 988036
53 + 987983 = 988036
107 + 987929 = 988036
167 + 987869 = 988036
227 + 987809 = 988036
233 + 987803 = 988036
239 + 987797 = 988036

Showing the first eight; more decompositions exist.

Hex color

#0F1384

RGB(15, 19, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.132.

Address: 0.15.19.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.132

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 988,036 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 US988,036 on Google Patents ↗ Look up on USPTO ↗