Live analysis

988,044

988,044 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.).

988,044 (nine hundred eighty-eight thousand forty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 137 × 601. Its proper divisors sum to 1,338,084, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF138C.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

988,032 988,033 988,034 988,035 988,036 988,037 988,038 988,039 988,040 988,041 988,042 988,043 988,044 988,045 988,046 988,047 988,048 988,049 988,050 988,051 988,052 988,053 988,054 988,055 988,056

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 440,889
Square (n²): 976,230,945,936
Cube (n³): 964,559,128,746,389,184
Divisor count: 24
σ(n) — sum of divisors: 2,326,128
φ(n) — Euler's totient: 326,400
Sum of prime factors: 745

Primality

Prime factorization: 2 ² × 3 × 137 × 601

Nearest primes: 988,033 (−11) · 988,051 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 137 · 274 · 411 · 548 · 601 · 822 · 1202 · 1644 · 1803 · 2404 · 3606 · 7212 · 82337 · 164674 · 247011 · 329348 · 494022 (half) · 988044

Aliquot sum (sum of proper divisors): 1,338,084

Factor pairs (a × b = 988,044)

1 × 988044

2 × 494022

3 × 329348

4 × 247011

6 × 164674

12 × 82337

137 × 7212

274 × 3606

411 × 2404

548 × 1803

601 × 1644

822 × 1202

First multiples

988,044 · 1,976,088 (double) · 2,964,132 · 3,952,176 · 4,940,220 · 5,928,264 · 6,916,308 · 7,904,352 · 8,892,396 · 9,880,440

Sums & aliquot sequence

As consecutive integers: 329,347 + 329,348 + 329,349 123,502 + 123,503 + … + 123,509 41,157 + 41,158 + … + 41,180 7,144 + 7,145 + … + 7,280

Aliquot sequence: 988,044 → 1,338,084 → 2,505,756 → 4,042,212 → 5,886,588 → 7,848,812 → 6,376,084 → 7,002,092 → 5,251,576 → 5,634,824 → 5,743,396 → 4,836,684 → 6,448,940 → 7,249,780 → 8,703,836 → 7,106,980 → 7,884,500 — unresolved within range

Continued fraction of √n

√988,044 = [994; (248, 1, 1, 496, 1, 1, 248, 1988)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand forty-four
Ordinal: 988044th
Binary: 11110001001110001100
Octal: 3611614
Hexadecimal: 0xF138C
Base64: DxOM
One's complement: 4,293,979,251 (32-bit)
Scientific notation: 9.88044 × 10⁵
As a duration: 988,044 s = 11 days, 10 hours, 27 minutes, 24 seconds

In other bases

ternary (3) 1212012100020

quaternary (4) 3301032030

quinary (5) 223104134

senary (6) 33102140

septenary (7) 11253411

nonary (9) 1765306

undecimal (11) 615372

duodecimal (12) 3b7950

tridecimal (13) 287955

tetradecimal (14) 1ba108

pentadecimal (15) 147b49

As an angle

988,044° = 2,744 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπημδʹ
Chinese: 九十八萬八千零四十四
Chinese (financial): 玖拾捌萬捌仟零肆拾肆

In other modern scripts

Eastern Arabic ٩٨٨٠٤٤ Devanagari ९८८०४४ Bengali ৯৮৮০৪৪ Tamil ௯௮௮௦௪௪ Thai ๙๘๘๐๔๔ Tibetan ༩༨༨༠༤༤ Khmer ៩៨៨០៤៤ Lao ໙໘໘໐໔໔ Burmese ၉၈၈၀၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988044, here are decompositions:

11 + 988033 = 988044
23 + 988021 = 988044
37 + 988007 = 988044
47 + 987997 = 988044
53 + 987991 = 988044
61 + 987983 = 988044
73 + 987971 = 988044
103 + 987941 = 988044

Showing the first eight; more decompositions exist.

Hex color

#0F138C

RGB(15, 19, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.140.

Address: 0.15.19.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.140

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 988,044 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 US988,044 on Google Patents ↗ Look up on USPTO ↗