Live analysis

1,006,500

1,006,500 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.).

1,006,500 (one million six thousand five hundred) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5³ × 11 × 61. Its proper divisors sum to 2,243,292, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5BA4.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,006,488 1,006,489 1,006,490 1,006,491 1,006,492 1,006,493 1,006,494 1,006,495 1,006,496 1,006,497 1,006,498 1,006,499 1,006,500 1,006,501 1,006,502 1,006,503 1,006,504 1,006,505 1,006,506 1,006,507 1,006,508 1,006,509 1,006,510 1,006,511 1,006,512

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 56,001
Square (n²): 1,013,042,250,000
Cube (n³): 1,019,627,024,625,000,000
Divisor count: 96
σ(n) — sum of divisors: 3,249,792
φ(n) — Euler's totient: 240,000
Sum of prime factors: 94

Primality

Prime factorization: 2 ² × 3 × 5 ³ × 11 × 61

Nearest primes: 1,006,493 (−7) · 1,006,507 (+7)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 11 · 12 · 15 · 20 · 22 · 25 · 30 · 33 · 44 · 50 · 55 · 60 · 61 · 66 · 75 · 100 · 110 · 122 · 125 · 132 · 150 · 165 · 183 · 220 · 244 · 250 · 275 · 300 · 305 · 330 · 366 · 375 · 500 · 550 · 610 · 660 · 671 · 732 · 750 · 825 · 915 · 1100 · 1220 · 1342 · 1375 · 1500 · 1525 · 1650 · 1830 · 2013 · 2684 · 2750 · 3050 · 3300 · 3355 · 3660 · 4026 · 4125 · 4575 · 5500 · 6100 · 6710 · 7625 · 8052 · 8250 · 9150 · 10065 · 13420 · 15250 · 16500 · 16775 · 18300 · 20130 · 22875 · 30500 · 33550 · 40260 · 45750 · 50325 · 67100 · 83875 · 91500 · 100650 · 167750 · 201300 · 251625 · 335500 · 503250 (half) · 1006500

Aliquot sum (sum of proper divisors): 2,243,292

Factor pairs (a × b = 1,006,500)

1 × 1006500

2 × 503250

3 × 335500

4 × 251625

5 × 201300

6 × 167750

10 × 100650

11 × 91500

12 × 83875

15 × 67100

20 × 50325

22 × 45750

25 × 40260

30 × 33550

33 × 30500

44 × 22875

50 × 20130

55 × 18300

60 × 16775

61 × 16500

66 × 15250

75 × 13420

100 × 10065

110 × 9150

122 × 8250

125 × 8052

132 × 7625

150 × 6710

165 × 6100

183 × 5500

220 × 4575

244 × 4125

250 × 4026

275 × 3660

300 × 3355

305 × 3300

330 × 3050

366 × 2750

375 × 2684

500 × 2013

550 × 1830

610 × 1650

660 × 1525

671 × 1500

732 × 1375

750 × 1342

825 × 1220

915 × 1100

First multiples

1,006,500 · 2,013,000 (double) · 3,019,500 · 4,026,000 · 5,032,500 · 6,039,000 · 7,045,500 · 8,052,000 · 9,058,500 · 10,065,000

Sums & aliquot sequence

As consecutive integers: 335,499 + 335,500 + 335,501 201,298 + 201,299 + 201,300 + 201,301 + 201,302 125,809 + 125,810 + … + 125,816 91,495 + 91,496 + … + 91,505

Aliquot sequence: 1,006,500 → 2,243,292 → 3,267,108 → 5,956,092 → 10,143,684 → 16,155,036 → 25,456,716 → 38,892,296 → 36,284,344 → 33,408,776 → 29,232,694 → 14,907,194 → 7,614,886 → 4,304,138 → 2,152,072 → 2,193,668 → 1,645,258 — unresolved within range

Continued fraction of √n

√1,006,500 = [1003; (4, 11, 1, 1, 1, 1, 1, 6, 3, 7, 1, 1, 11, 1, 2, 2, 1, 2, 1, 79, 1, 1, 7, 1, …)]

Representations

In words: one million six thousand five hundred
Ordinal: 1006500th
Binary: 11110101101110100100
Octal: 3655644
Hexadecimal: 0xF5BA4
Base64: D1uk
One's complement: 4,293,960,795 (32-bit)
Scientific notation: 1.0065 × 10⁶
As a duration: 1,006,500 s = 11 days, 15 hours, 35 minutes

In other bases

ternary (3) 1220010122210

quaternary (4) 3311232210

quinary (5) 224202000

senary (6) 33323420

septenary (7) 11361255

nonary (9) 1803583

undecimal (11) 628220

duodecimal (12) 406570

tridecimal (13) 293181

tetradecimal (14) 1c2b2c

pentadecimal (15) 14d350

As an angle

1,006,500° = 2,795 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢
Chinese: 一百萬六千五百
Chinese (financial): 壹佰萬陸仟伍佰

In other modern scripts

Eastern Arabic ١٠٠٦٥٠٠ Devanagari १००६५०० Bengali ১০০৬৫০০ Tamil ௧௦௦௬௫௦௦ Thai ๑๐๐๖๕๐๐ Tibetan ༡༠༠༦༥༠༠ Khmer ១០០៦៥០០ Lao ໑໐໐໖໕໐໐ Burmese ၁၀၀၆၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006500, here are decompositions:

7 + 1006493 = 1006500
29 + 1006471 = 1006500
31 + 1006469 = 1006500
37 + 1006463 = 1006500
59 + 1006441 = 1006500
67 + 1006433 = 1006500
107 + 1006393 = 1006500
109 + 1006391 = 1006500

Showing the first eight; more decompositions exist.

Hex color

#0F5BA4

RGB(15, 91, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.164.

Address: 0.15.91.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.164

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 1,006,500 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 US1,006,500 on Google Patents ↗ Look up on USPTO ↗