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1,002,666

1,002,666 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.).

1,002,666 (one million two thousand six hundred sixty-six) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 23,873. Its proper divisors sum to 1,289,238, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4CAA.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
6,662,001
Square (n²)
1,005,339,107,556
Cube (n³)
1,008,019,341,616,744,296
Divisor count
16
σ(n) — sum of divisors
2,291,904
φ(n) — Euler's totient
286,464
Sum of prime factors
23,885

Primality

Prime factorization: 2 × 3 × 7 × 23873

Nearest primes: 1,002,653 (−13) · 1,002,679 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 23873 · 47746 · 71619 · 143238 · 167111 · 334222 · 501333 (half) · 1002666
Aliquot sum (sum of proper divisors): 1,289,238
Factor pairs (a × b = 1,002,666)
1 × 1002666
2 × 501333
3 × 334222
6 × 167111
7 × 143238
14 × 71619
21 × 47746
42 × 23873
First multiples
1,002,666 · 2,005,332 (double) · 3,007,998 · 4,010,664 · 5,013,330 · 6,015,996 · 7,018,662 · 8,021,328 · 9,023,994 · 10,026,660

Sums & aliquot sequence

As consecutive integers: 334,221 + 334,222 + 334,223 250,665 + 250,666 + 250,667 + 250,668 143,235 + 143,236 + … + 143,241 83,550 + 83,551 + … + 83,561
Aliquot sequence: 1,002,666 1,289,238 1,308,138 1,605,654 1,873,302 1,873,314 2,340,126 2,906,154 3,390,552 6,891,048 12,601,752 19,637,928 34,793,592 52,190,448 82,635,000 212,770,440 490,142,160 — unresolved within range

Continued fraction of √n

√1,002,666 = [1001; (3, 90, 1, 2, 3, 2, 1, 15, 1, 5, 1, 5, 1, 1, 1, 1, 8, 1, 2, 2, 3, 8, 1, 14, …)]

Representations

In words
one million two thousand six hundred sixty-six
Ordinal
1002666th
Binary
11110100110010101010
Octal
3646252
Hexadecimal
0xF4CAA
Base64
D0yq
One's complement
4,293,964,629 (32-bit)
Scientific notation
1.002666 × 10⁶
As a duration
1,002,666 s = 11 days, 14 hours, 31 minutes, 6 seconds
In other bases
ternary (3) 1212221101210
quaternary (4) 3310302222
quinary (5) 224041131
senary (6) 33253550
septenary (7) 11344140
nonary (9) 1787353
undecimal (11) 625355
duodecimal (12) 4042b6
tridecimal (13) 2914c2
tetradecimal (14) 1c1590
pentadecimal (15) 14c146

As an angle

1,002,666° = 2,785 × 360° + 66°
66° ≈ 1.152 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬二千六百六十六
Chinese (financial)
壹佰萬貳仟陸佰陸拾陸
In other modern scripts
Eastern Arabic ١٠٠٢٦٦٦ Devanagari १००२६६६ Bengali ১০০২৬৬৬ Tamil ௧௦௦௨௬௬௬ Thai ๑๐๐๒๖๖๖ Tibetan ༡༠༠༢༦༦༦ Khmer ១០០២៦៦៦ Lao ໑໐໐໒໖໖໖ Burmese ၁၀၀၂၆၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002666, here are decompositions:

  • 13 + 1002653 = 1002666
  • 19 + 1002647 = 1002666
  • 43 + 1002623 = 1002666
  • 47 + 1002619 = 1002666
  • 83 + 1002583 = 1002666
  • 89 + 1002577 = 1002666
  • 97 + 1002569 = 1002666
  • 113 + 1002553 = 1002666

Showing the first eight; more decompositions exist.

Hex color
#0F4CAA
RGB(15, 76, 170)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.170.

Address
0.15.76.170
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.76.170

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 1,002,666 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.