Live analysis

988,040

988,040 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.).

988,040 (nine hundred eighty-eight thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 17 × 1,453. Its proper divisors sum to 1,367,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1388.

Abundant Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

988,028 988,029 988,030 988,031 988,032 988,033 988,034 988,035 988,036 988,037 988,038 988,039 988,040 988,041 988,042 988,043 988,044 988,045 988,046 988,047 988,048 988,049 988,050 988,051 988,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 29
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 40,889
Recamán's sequence: a(330,559) = 988,040
Square (n²): 976,223,041,600
Cube (n³): 964,547,414,022,464,000
Divisor count: 32
σ(n) — sum of divisors: 2,355,480
φ(n) — Euler's totient: 371,712
Sum of prime factors: 1,481

Primality

Prime factorization: 2 ³ × 5 × 17 × 1453

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

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 17 · 20 · 34 · 40 · 68 · 85 · 136 · 170 · 340 · 680 · 1453 · 2906 · 5812 · 7265 · 11624 · 14530 · 24701 · 29060 · 49402 · 58120 · 98804 · 123505 · 197608 · 247010 · 494020 (half) · 988040

Aliquot sum (sum of proper divisors): 1,367,440

Factor pairs (a × b = 988,040)

1 × 988040

2 × 494020

4 × 247010

5 × 197608

8 × 123505

10 × 98804

17 × 58120

20 × 49402

34 × 29060

40 × 24701

68 × 14530

85 × 11624

136 × 7265

170 × 5812

340 × 2906

680 × 1453

First multiples

988,040 · 1,976,080 (double) · 2,964,120 · 3,952,160 · 4,940,200 · 5,928,240 · 6,916,280 · 7,904,320 · 8,892,360 · 9,880,400

Sums & aliquot sequence

As a sum of two squares: 2² + 994² = 154² + 982² = 466² + 878² = 598² + 794²

As consecutive integers: 197,606 + 197,607 + 197,608 + 197,609 + 197,610 61,745 + 61,746 + … + 61,760 58,112 + 58,113 + … + 58,128 12,311 + 12,312 + … + 12,390

Aliquot sequence: 988,040 → 1,367,440 → 1,812,044 → 1,603,060 → 1,763,408 → 1,673,872 → 1,590,428 → 1,635,172 → 1,933,148 → 2,014,852 → 2,045,372 → 2,287,012 → 2,768,220 → 7,627,620 → 21,273,756 → 35,738,724 → 59,892,252 — unresolved within range

Continued fraction of √n

√988,040 = [994; (497, 1988)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand forty
Ordinal: 988040th
Binary: 11110001001110001000
Octal: 3611610
Hexadecimal: 0xF1388
Base64: DxOI
One's complement: 4,293,979,255 (32-bit)
Scientific notation: 9.8804 × 10⁵
As a duration: 988,040 s = 11 days, 10 hours, 27 minutes, 20 seconds

In other bases

ternary (3) 1212012100002

quaternary (4) 3301032020

quinary (5) 223104130

senary (6) 33102132

septenary (7) 11253404

nonary (9) 1765302

undecimal (11) 615369

duodecimal (12) 3b7948

tridecimal (13) 287951

tetradecimal (14) 1ba104

pentadecimal (15) 147b45

As an angle

988,040° = 2,744 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

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

In other modern scripts

Eastern Arabic ٩٨٨٠٤٠ Devanagari ९८८०४० Bengali ৯৮৮০৪০ Tamil ௯௮௮௦௪௦ Thai ๙๘๘๐๔๐ Tibetan ༩༨༨༠༤༠ Khmer ៩៨៨០៤០ Lao ໙໘໘໐໔໐ Burmese ၉၈၈၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988040, here are decompositions:

7 + 988033 = 988040
19 + 988021 = 988040
43 + 987997 = 988040
61 + 987979 = 988040
127 + 987913 = 988040
409 + 987631 = 988040
433 + 987607 = 988040
499 + 987541 = 988040

Showing the first eight; more decompositions exist.

Hex color

#0F1388

RGB(15, 19, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.136.

Address: 0.15.19.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.136

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 988,040 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 US988,040 on Google Patents ↗ Look up on USPTO ↗