Live analysis

1,005,000

1,005,000 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.).

1,005,000 (one million five thousand) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2³ × 3 × 5⁴ × 67. Its proper divisors sum to 2,181,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF55C8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,004,988 1,004,989 1,004,990 1,004,991 1,004,992 1,004,993 1,004,994 1,004,995 1,004,996 1,004,997 1,004,998 1,004,999 1,005,000 1,005,001 1,005,002 1,005,003 1,005,004 1,005,005 1,005,006 1,005,007 1,005,008 1,005,009 1,005,010 1,005,011 1,005,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 5,001
Square (n²): 1,010,025,000,000
Cube (n³): 1,015,075,125,000,000,000
Divisor count: 80
σ(n) — sum of divisors: 3,186,480
φ(n) — Euler's totient: 264,000
Sum of prime factors: 96

Primality

Prime factorization: 2 ³ × 3 × 5 ⁴ × 67

Nearest primes: 1,004,987 (−13) · 1,005,007 (+7)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 25 · 30 · 40 · 50 · 60 · 67 · 75 · 100 · 120 · 125 · 134 · 150 · 200 · 201 · 250 · 268 · 300 · 335 · 375 · 402 · 500 · 536 · 600 · 625 · 670 · 750 · 804 · 1000 · 1005 · 1250 · 1340 · 1500 · 1608 · 1675 · 1875 · 2010 · 2500 · 2680 · 3000 · 3350 · 3750 · 4020 · 5000 · 5025 · 6700 · 7500 · 8040 · 8375 · 10050 · 13400 · 15000 · 16750 · 20100 · 25125 · 33500 · 40200 · 41875 · 50250 · 67000 · 83750 · 100500 · 125625 · 167500 · 201000 · 251250 · 335000 · 502500 (half) · 1005000

Aliquot sum (sum of proper divisors): 2,181,480

Factor pairs (a × b = 1,005,000)

1 × 1005000

2 × 502500

3 × 335000

4 × 251250

5 × 201000

6 × 167500

8 × 125625

10 × 100500

12 × 83750

15 × 67000

20 × 50250

24 × 41875

25 × 40200

30 × 33500

40 × 25125

50 × 20100

60 × 16750

67 × 15000

75 × 13400

100 × 10050

120 × 8375

125 × 8040

134 × 7500

150 × 6700

200 × 5025

201 × 5000

250 × 4020

268 × 3750

300 × 3350

335 × 3000

375 × 2680

402 × 2500

500 × 2010

536 × 1875

600 × 1675

625 × 1608

670 × 1500

750 × 1340

804 × 1250

1000 × 1005

First multiples

1,005,000 · 2,010,000 (double) · 3,015,000 · 4,020,000 · 5,025,000 · 6,030,000 · 7,035,000 · 8,040,000 · 9,045,000 · 10,050,000

Sums & aliquot sequence

As consecutive integers: 334,999 + 335,000 + 335,001 200,998 + 200,999 + 201,000 + 201,001 + 201,002 66,993 + 66,994 + … + 67,007 62,805 + 62,806 + … + 62,820

Aliquot sequence: 1,005,000 → 2,181,480 → 5,594,520 → 11,927,400 → 25,599,960 → 65,379,240 → 147,104,460 → 322,608,420 → 700,357,524 → 933,810,060 → 1,687,645,140 → 3,200,711,340 → 5,930,383,668 → 9,169,972,428 → 12,272,855,860 — keeps growing

Continued fraction of √n

√1,005,000 = [1002; (2, 79, 1, 2, 3, 79, 1, 8, 1, 79, 3, 2, 1, 79, 2, 2004)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million five thousand
Ordinal: 1005000th
Binary: 11110101010111001000
Octal: 3652710
Hexadecimal: 0xF55C8
Base64: D1XI
One's complement: 4,293,962,295 (32-bit)
Scientific notation: 1.005 × 10⁶
As a duration: 1,005,000 s = 11 days, 15 hours, 10 minutes

In other bases

ternary (3) 1220001121020

quaternary (4) 3311113020

quinary (5) 224130000

senary (6) 33312440

septenary (7) 11354013

nonary (9) 1801536

undecimal (11) 627087

duodecimal (12) 405720

tridecimal (13) 292599

tetradecimal (14) 1c237a

pentadecimal (15) 14cba0

As an angle

1,005,000° = 2,791 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼
Chinese: 一百萬五千
Chinese (financial): 壹佰萬伍仟

In other modern scripts

Eastern Arabic ١٠٠٥٠٠٠ Devanagari १००५००० Bengali ১০০৫০০০ Tamil ௧௦௦௫௦௦௦ Thai ๑๐๐๕๐๐๐ Tibetan ༡༠༠༥༠༠༠ Khmer ១០០៥០០០ Lao ໑໐໐໕໐໐໐ Burmese ၁၀၀၅၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005000, here are decompositions:

13 + 1004987 = 1005000
19 + 1004981 = 1005000
23 + 1004977 = 1005000
37 + 1004963 = 1005000
83 + 1004917 = 1005000
89 + 1004911 = 1005000
97 + 1004903 = 1005000
127 + 1004873 = 1005000

Showing the first eight; more decompositions exist.

Hex color

#0F55C8

RGB(15, 85, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.200.

Address: 0.15.85.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.200

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 1,005,000 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 US1,005,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1005000 first appears in π at position 49,667 of the decimal expansion (the 49,667ordinal-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 1005000 on Pi Search ↗