Live analysis

987,000

987,000 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.).

987,000 (nine hundred eighty-seven thousand) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5³ × 7 × 47. Its proper divisors sum to 2,607,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF0F78.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

986,988 986,989 986,990 986,991 986,992 986,993 986,994 986,995 986,996 986,997 986,998 986,999 987,000 987,001 987,002 987,003 987,004 987,005 987,006 987,007 987,008 987,009 987,010 987,011 987,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 789
Square (n²): 974,169,000,000
Cube (n³): 961,504,803,000,000,000
Divisor count: 128
σ(n) — sum of divisors: 3,594,240
φ(n) — Euler's totient: 220,800
Sum of prime factors: 78

Primality

Prime factorization: 2 ³ × 3 × 5 ³ × 7 × 47

Nearest primes: 986,989 (−11) · 987,013 (+13)

Divisors & multiples

All divisors (128)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 42 · 47 · 50 · 56 · 60 · 70 · 75 · 84 · 94 · 100 · 105 · 120 · 125 · 140 · 141 · 150 · 168 · 175 · 188 · 200 · 210 · 235 · 250 · 280 · 282 · 300 · 329 · 350 · 375 · 376 · 420 · 470 · 500 · 525 · 564 · 600 · 658 · 700 · 705 · 750 · 840 · 875 · 940 · 987 · 1000 · 1050 · 1128 · 1175 · 1316 · 1400 · 1410 · 1500 · 1645 · 1750 · 1880 · 1974 · 2100 · 2350 · 2625 · 2632 · 2820 · 3000 · 3290 · 3500 · 3525 · 3948 · 4200 · 4700 · 4935 · 5250 · 5640 · 5875 · 6580 · 7000 · 7050 · 7896 · 8225 · 9400 · 9870 · 10500 · 11750 · 13160 · 14100 · 16450 · 17625 · 19740 · 21000 · 23500 · 24675 · 28200 · 32900 · 35250 · 39480 · 41125 · 47000 · 49350 · 65800 · 70500 · 82250 · 98700 · 123375 · 141000 · 164500 · 197400 · 246750 · 329000 · 493500 (half) · 987000

Aliquot sum (sum of proper divisors): 2,607,240

Factor pairs (a × b = 987,000)

1 × 987000

2 × 493500

3 × 329000

4 × 246750

5 × 197400

6 × 164500

7 × 141000

8 × 123375

10 × 98700

12 × 82250

14 × 70500

15 × 65800

20 × 49350

21 × 47000

24 × 41125

25 × 39480

28 × 35250

30 × 32900

35 × 28200

40 × 24675

42 × 23500

47 × 21000

50 × 19740

56 × 17625

60 × 16450

70 × 14100

75 × 13160

84 × 11750

94 × 10500

100 × 9870

105 × 9400

120 × 8225

125 × 7896

140 × 7050

141 × 7000

150 × 6580

168 × 5875

175 × 5640

188 × 5250

200 × 4935

210 × 4700

235 × 4200

250 × 3948

280 × 3525

282 × 3500

300 × 3290

329 × 3000

350 × 2820

375 × 2632

376 × 2625

420 × 2350

470 × 2100

500 × 1974

525 × 1880

564 × 1750

600 × 1645

658 × 1500

700 × 1410

705 × 1400

750 × 1316

840 × 1175

875 × 1128

940 × 1050

987 × 1000

First multiples

987,000 · 1,974,000 (double) · 2,961,000 · 3,948,000 · 4,935,000 · 5,922,000 · 6,909,000 · 7,896,000 · 8,883,000 · 9,870,000

Sums & aliquot sequence

As consecutive integers: 328,999 + 329,000 + 329,001 197,398 + 197,399 + 197,400 + 197,401 + 197,402 140,997 + 140,998 + … + 141,003 65,793 + 65,794 + … + 65,807

Aliquot sequence: 987,000 → 2,607,240 → 5,214,840 → 10,430,040 → 22,229,160 → 44,458,680 → 110,713,560 → 221,427,480 → 442,855,320 → 887,497,320 → 1,922,749,080 → 5,016,553,320 → 10,056,600,600 — keeps growing

Continued fraction of √n

√987,000 = [993; (2, 11, 3, 1, 7, 1, 5, 1, 1, 78, 1, 15, 2, 3, 3, 1, 2, 5, 7, 79, 2, 1, 18, 2, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-seven thousand
Ordinal: 987000th
Binary: 11110000111101111000
Octal: 3607570
Hexadecimal: 0xF0F78
Base64: Dw94
One's complement: 4,293,980,295 (32-bit)
Scientific notation: 9.87 × 10⁵
As a duration: 987,000 s = 11 days, 10 hours, 10 minutes

In other bases

ternary (3) 1212010220120

quaternary (4) 3300331320

quinary (5) 223041000

senary (6) 33053240

septenary (7) 11250360

nonary (9) 1763816

undecimal (11) 614603

duodecimal (12) 3b7220

tridecimal (13) 287331

tetradecimal (14) 1b99a0

pentadecimal (15) 1476a0

As an angle

987,000° = 2,741 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ϡπζ
Chinese: 九十八萬七千
Chinese (financial): 玖拾捌萬柒仟

In other modern scripts

Eastern Arabic ٩٨٧٠٠٠ Devanagari ९८७००० Bengali ৯৮৭০০০ Tamil ௯௮௭௦௦௦ Thai ๙๘๗๐๐๐ Tibetan ༩༨༧༠༠༠ Khmer ៩៨៧០០០ Lao ໙໘໗໐໐໐ Burmese ၉၈၇၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 987000, here are decompositions:

11 + 986989 = 987000
17 + 986983 = 987000
19 + 986981 = 987000
37 + 986963 = 987000
41 + 986959 = 987000
59 + 986941 = 987000
67 + 986933 = 987000
71 + 986929 = 987000

Showing the first eight; more decompositions exist.

Hex color

#0F0F78

RGB(15, 15, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.15.120.

Address: 0.15.15.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.15.120

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 987,000 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 US987,000 on Google Patents ↗ Look up on USPTO ↗