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1,006,005

1,006,005 is a composite number, odd.

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.).

1,006,005 (one million six thousand five) is an odd 7-digit number. It is a composite number with 64 divisors, and factors as 3 × 5 × 7 × 11 × 13 × 67. Its proper divisors sum to 1,187,403, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF59B5.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
5,006,001
Square (n²)
1,012,046,060,025
Cube (n³)
1,018,123,396,615,450,125
Divisor count
64
σ(n) — sum of divisors
2,193,408
φ(n) — Euler's totient
380,160
Sum of prime factors
106

Primality

Prime factorization: 3 × 5 × 7 × 11 × 13 × 67

Nearest primes: 1,006,003 (−2) · 1,006,007 (+2)

Divisors & multiples

All divisors (64)
1 · 3 · 5 · 7 · 11 · 13 · 15 · 21 · 33 · 35 · 39 · 55 · 65 · 67 · 77 · 91 · 105 · 143 · 165 · 195 · 201 · 231 · 273 · 335 · 385 · 429 · 455 · 469 · 715 · 737 · 871 · 1001 · 1005 · 1155 · 1365 · 1407 · 2145 · 2211 · 2345 · 2613 · 3003 · 3685 · 4355 · 5005 · 5159 · 6097 · 7035 · 9581 · 11055 · 13065 · 15015 · 15477 · 18291 · 25795 · 28743 · 30485 · 47905 · 67067 · 77385 · 91455 · 143715 · 201201 · 335335 · 1006005
Aliquot sum (sum of proper divisors): 1,187,403
Factor pairs (a × b = 1,006,005)
1 × 1006005
3 × 335335
5 × 201201
7 × 143715
11 × 91455
13 × 77385
15 × 67067
21 × 47905
33 × 30485
35 × 28743
39 × 25795
55 × 18291
65 × 15477
67 × 15015
77 × 13065
91 × 11055
105 × 9581
143 × 7035
165 × 6097
195 × 5159
201 × 5005
231 × 4355
273 × 3685
335 × 3003
385 × 2613
429 × 2345
455 × 2211
469 × 2145
715 × 1407
737 × 1365
871 × 1155
1001 × 1005
First multiples
1,006,005 · 2,012,010 (double) · 3,018,015 · 4,024,020 · 5,030,025 · 6,036,030 · 7,042,035 · 8,048,040 · 9,054,045 · 10,060,050

Sums & aliquot sequence

As consecutive integers: 503,002 + 503,003 335,334 + 335,335 + 335,336 201,199 + 201,200 + 201,201 + 201,202 + 201,203 167,665 + 167,666 + 167,667 + 167,668 + 167,669 + 167,670
Aliquot sequence: 1,006,005 1,187,403 622,005 373,227 135,189 66,881 1,471 1 0 — terminates at zero

Continued fraction of √n

√1,006,005 = [1002; (1, 500, 2, 500, 1, 2004)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one million six thousand five
Ordinal
1006005th
Binary
11110101100110110101
Octal
3654665
Hexadecimal
0xF59B5
Base64
D1m1
One's complement
4,293,961,290 (32-bit)
Scientific notation
1.006005 × 10⁶
As a duration
1,006,005 s = 11 days, 15 hours, 26 minutes, 45 seconds
In other bases
ternary (3) 1220002222110
quaternary (4) 3311212311
quinary (5) 224143010
senary (6) 33321233
septenary (7) 11356650
nonary (9) 1802873
undecimal (11) 627910
duodecimal (12) 406219
tridecimal (13) 292b90
tetradecimal (14) 1c2897
pentadecimal (15) 14d120

As an angle

1,006,005° = 2,794 × 360° + 165°
165° ≈ 2.88 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬六千零五
Chinese (financial)
壹佰萬陸仟零伍
In other modern scripts
Eastern Arabic ١٠٠٦٠٠٥ Devanagari १००६००५ Bengali ১০০৬০০৫ Tamil ௧௦௦௬௦௦௫ Thai ๑๐๐๖๐๐๕ Tibetan ༡༠༠༦༠༠༥ Khmer ១០០៦០០៥ Lao ໑໐໐໖໐໐໕ Burmese ၁၀၀၆၀၀၅

Also seen as

Hex color
#0F59B5
RGB(15, 89, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.181.

Address
0.15.89.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.89.181

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 1,006,005 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