Live analysis

988,020

988,020 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.).

988,020 (nine hundred eighty-eight thousand twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 11 × 499. Its proper divisors sum to 2,287,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1374.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

988,008 988,009 988,010 988,011 988,012 988,013 988,014 988,015 988,016 988,017 988,018 988,019 988,020 988,021 988,022 988,023 988,024 988,025 988,026 988,027 988,028 988,029 988,030 988,031 988,032

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 20,889
Recamán's sequence: a(330,599) = 988,020
Square (n²): 976,183,520,400
Cube (n³): 964,488,841,825,608,000
Divisor count: 72
σ(n) — sum of divisors: 3,276,000
φ(n) — Euler's totient: 239,040
Sum of prime factors: 525

Primality

Prime factorization: 2 ² × 3 ² × 5 × 11 × 499

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

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 11 · 12 · 15 · 18 · 20 · 22 · 30 · 33 · 36 · 44 · 45 · 55 · 60 · 66 · 90 · 99 · 110 · 132 · 165 · 180 · 198 · 220 · 330 · 396 · 495 · 499 · 660 · 990 · 998 · 1497 · 1980 · 1996 · 2495 · 2994 · 4491 · 4990 · 5489 · 5988 · 7485 · 8982 · 9980 · 10978 · 14970 · 16467 · 17964 · 21956 · 22455 · 27445 · 29940 · 32934 · 44910 · 49401 · 54890 · 65868 · 82335 · 89820 · 98802 · 109780 · 164670 · 197604 · 247005 · 329340 · 494010 (half) · 988020

Aliquot sum (sum of proper divisors): 2,287,980

Factor pairs (a × b = 988,020)

1 × 988020

2 × 494010

3 × 329340

4 × 247005

5 × 197604

6 × 164670

9 × 109780

10 × 98802

11 × 89820

12 × 82335

15 × 65868

18 × 54890

20 × 49401

22 × 44910

30 × 32934

33 × 29940

36 × 27445

44 × 22455

45 × 21956

55 × 17964

60 × 16467

66 × 14970

90 × 10978

99 × 9980

110 × 8982

132 × 7485

165 × 5988

180 × 5489

198 × 4990

220 × 4491

330 × 2994

396 × 2495

495 × 1996

499 × 1980

660 × 1497

990 × 998

First multiples

988,020 · 1,976,040 (double) · 2,964,060 · 3,952,080 · 4,940,100 · 5,928,120 · 6,916,140 · 7,904,160 · 8,892,180 · 9,880,200

Sums & aliquot sequence

As consecutive integers: 329,339 + 329,340 + 329,341 197,602 + 197,603 + 197,604 + 197,605 + 197,606 123,499 + 123,500 + … + 123,506 109,776 + 109,777 + … + 109,784

Aliquot sequence: 988,020 → 2,287,980 → 5,238,420 → 10,764,588 → 14,352,812 → 11,635,108 → 8,801,784 → 17,944,056 → 37,201,944 → 62,957,976 → 94,437,024 → 183,420,192 → 301,327,008 → 497,835,552 → 868,410,672 → 1,386,395,904 → 2,303,441,072 — unresolved within range

Continued fraction of √n

√988,020 = [993; (1, 123, 4, 123, 1, 1986)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand twenty
Ordinal: 988020th
Binary: 11110001001101110100
Octal: 3611564
Hexadecimal: 0xF1374
Base64: DxN0
One's complement: 4,293,979,275 (32-bit)
Scientific notation: 9.8802 × 10⁵
As a duration: 988,020 s = 11 days, 10 hours, 27 minutes

In other bases

ternary (3) 1212012022100

quaternary (4) 3301031310

quinary (5) 223104040

senary (6) 33102100

septenary (7) 11253345

nonary (9) 1765270

undecimal (11) 615350

duodecimal (12) 3b7930

tridecimal (13) 287937

tetradecimal (14) 1ba0cc

pentadecimal (15) 147b30

As an angle

988,020° = 2,744 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Greek (Milesian): ͵ϡπηκʹ
Chinese: 九十八萬八千零二十
Chinese (financial): 玖拾捌萬捌仟零貳拾

In other modern scripts

Eastern Arabic ٩٨٨٠٢٠ Devanagari ९८८०२० Bengali ৯৮৮০২০ Tamil ௯௮௮௦௨௦ Thai ๙๘๘๐๒๐ Tibetan ༩༨༨༠༢༠ Khmer ៩៨៨០២០ Lao ໙໘໘໐໒໐ Burmese ၉၈၈၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988020, here are decompositions:

13 + 988007 = 988020
23 + 987997 = 988020
29 + 987991 = 988020
37 + 987983 = 988020
41 + 987979 = 988020
79 + 987941 = 988020
107 + 987913 = 988020
109 + 987911 = 988020

Showing the first eight; more decompositions exist.

Hex color

#0F1374

RGB(15, 19, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.116.

Address: 0.15.19.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.116

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 988,020 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 US988,020 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988020 first appears in π at position 968,939 of the decimal expansion (the 968,939ordinal-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 988020 on Pi Search ↗