Live analysis

1,006,000

1,006,000 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.).

1,006,000 (one million six thousand) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5³ × 503. Its proper divisors sum to 1,431,344, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF59B0.

Abundant Number Flippable Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 6,001
Flips to (rotate 180°): 9,001
Square (n²): 1,012,036,000,000
Cube (n³): 1,018,108,216,000,000,000
Divisor count: 40
σ(n) — sum of divisors: 2,437,344
φ(n) — Euler's totient: 401,600
Sum of prime factors: 526

Primality

Prime factorization: 2 ⁴ × 5 ³ × 503

Nearest primes: 1,005,989 (−11) · 1,006,003 (+3)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 125 · 200 · 250 · 400 · 500 · 503 · 1000 · 1006 · 2000 · 2012 · 2515 · 4024 · 5030 · 8048 · 10060 · 12575 · 20120 · 25150 · 40240 · 50300 · 62875 · 100600 · 125750 · 201200 · 251500 · 503000 (half) · 1006000

Aliquot sum (sum of proper divisors): 1,431,344

Factor pairs (a × b = 1,006,000)

1 × 1006000

2 × 503000

4 × 251500

5 × 201200

8 × 125750

10 × 100600

16 × 62875

20 × 50300

25 × 40240

40 × 25150

50 × 20120

80 × 12575

100 × 10060

125 × 8048

200 × 5030

250 × 4024

400 × 2515

500 × 2012

503 × 2000

1000 × 1006

First multiples

1,006,000 · 2,012,000 (double) · 3,018,000 · 4,024,000 · 5,030,000 · 6,036,000 · 7,042,000 · 8,048,000 · 9,054,000 · 10,060,000

Sums & aliquot sequence

As consecutive integers: 201,198 + 201,199 + 201,200 + 201,201 + 201,202 40,228 + 40,229 + … + 40,252 31,422 + 31,423 + … + 31,453 7,986 + 7,987 + … + 8,110

Aliquot sequence: 1,006,000 → 1,431,344 → 1,341,916 → 1,070,172 → 1,745,396 → 1,367,056 → 1,344,576 → 2,313,024 → 4,685,184 → 11,187,036 → 21,520,548 → 45,571,932 → 86,903,684 → 87,151,036 → 87,364,004 → 100,805,404 → 100,805,460 — unresolved within range

Continued fraction of √n

√1,006,000 = [1002; (1, 221, 1, 7, 1, 23, 1, 7, 10, 2, 1, 1, 1, 7, 2, 3, 17, 1, 3, 1, 1, 1, 1, 1, …)]

Representations

In words: one million six thousand
Ordinal: 1006000th
Binary: 11110101100110110000
Octal: 3654660
Hexadecimal: 0xF59B0
Base64: D1mw
One's complement: 4,293,961,295 (32-bit)
Scientific notation: 1.006 × 10⁶
As a duration: 1,006,000 s = 11 days, 15 hours, 26 minutes, 40 seconds

In other bases

ternary (3) 1220002222021

quaternary (4) 3311212300

quinary (5) 224143000

senary (6) 33321224

septenary (7) 11356642

nonary (9) 1802867

undecimal (11) 627906

duodecimal (12) 406214

tridecimal (13) 292b88

tetradecimal (14) 1c2892

pentadecimal (15) 14d11a

As an angle

1,006,000° = 2,794 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼
Chinese: 一百萬六千
Chinese (financial): 壹佰萬陸仟

In other modern scripts

Eastern Arabic ١٠٠٦٠٠٠ Devanagari १००६००० Bengali ১০০৬০০০ Tamil ௧௦௦௬௦௦௦ Thai ๑๐๐๖๐๐๐ Tibetan ༡༠༠༦༠༠༠ Khmer ១០០៦០០០ Lao ໑໐໐໖໐໐໐ Burmese ၁၀၀၆၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006000, here are decompositions:

11 + 1005989 = 1006000
29 + 1005971 = 1006000
41 + 1005959 = 1006000
89 + 1005911 = 1006000
167 + 1005833 = 1006000
173 + 1005827 = 1006000
179 + 1005821 = 1006000
239 + 1005761 = 1006000

Showing the first eight; more decompositions exist.

Hex color

#0F59B0

RGB(15, 89, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.176.

Address: 0.15.89.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.89.176

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 1,006,000 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 US1,006,000 on Google Patents ↗ Look up on USPTO ↗