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1,005,060

1,005,060 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.).

1,005,060 (one million five thousand sixty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 7 × 2,393. Its proper divisors sum to 2,212,476, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5604.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
605,001
Square (n²)
1,010,145,603,600
Cube (n³)
1,015,256,940,354,216,000
Divisor count
48
σ(n) — sum of divisors
3,217,536
φ(n) — Euler's totient
229,632
Sum of prime factors
2,412

Primality

Prime factorization: 2 2 × 3 × 5 × 7 × 2393

Nearest primes: 1,005,049 (−11) · 1,005,071 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 14 · 15 · 20 · 21 · 28 · 30 · 35 · 42 · 60 · 70 · 84 · 105 · 140 · 210 · 420 · 2393 · 4786 · 7179 · 9572 · 11965 · 14358 · 16751 · 23930 · 28716 · 33502 · 35895 · 47860 · 50253 · 67004 · 71790 · 83755 · 100506 · 143580 · 167510 · 201012 · 251265 · 335020 · 502530 (half) · 1005060
Aliquot sum (sum of proper divisors): 2,212,476
Factor pairs (a × b = 1,005,060)
1 × 1005060
2 × 502530
3 × 335020
4 × 251265
5 × 201012
6 × 167510
7 × 143580
10 × 100506
12 × 83755
14 × 71790
15 × 67004
20 × 50253
21 × 47860
28 × 35895
30 × 33502
35 × 28716
42 × 23930
60 × 16751
70 × 14358
84 × 11965
105 × 9572
140 × 7179
210 × 4786
420 × 2393
First multiples
1,005,060 · 2,010,120 (double) · 3,015,180 · 4,020,240 · 5,025,300 · 6,030,360 · 7,035,420 · 8,040,480 · 9,045,540 · 10,050,600

Sums & aliquot sequence

As consecutive integers: 335,019 + 335,020 + 335,021 201,010 + 201,011 + 201,012 + 201,013 + 201,014 143,577 + 143,578 + … + 143,583 125,629 + 125,630 + … + 125,636
Aliquot sequence: 1,005,060 2,212,476 3,687,684 7,902,972 17,012,100 39,248,188 39,248,244 74,136,300 177,014,292 334,818,540 825,890,100 2,101,110,060 5,009,080,020 11,019,977,388 — keeps growing

Continued fraction of √n

√1,005,060 = [1002; (1, 1, 8, 1, 4, 1, 2, 1, 4, 4, 2, 6, 4, 1, 1, 1, 56, 1, 1, 1, 4, 6, 2, 4, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one million five thousand sixty
Ordinal
1005060th
Binary
11110101011000000100
Octal
3653004
Hexadecimal
0xF5604
Base64
D1YE
One's complement
4,293,962,235 (32-bit)
Scientific notation
1.00506 × 10⁶
As a duration
1,005,060 s = 11 days, 15 hours, 11 minutes
In other bases
ternary (3) 1220001200110
quaternary (4) 3311120010
quinary (5) 224130220
senary (6) 33313020
septenary (7) 11354130
nonary (9) 1801613
undecimal (11) 627131
duodecimal (12) 405770
tridecimal (13) 292614
tetradecimal (14) 1c23c0
pentadecimal (15) 14cbe0

As an angle

1,005,060° = 2,791 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 ·
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百萬五千零六十
Chinese (financial)
壹佰萬伍仟零陸拾
In other modern scripts
Eastern Arabic ١٠٠٥٠٦٠ Devanagari १००५०६० Bengali ১০০৫০৬০ Tamil ௧௦௦௫௦௬௦ Thai ๑๐๐๕๐๖๐ Tibetan ༡༠༠༥༠༦༠ Khmer ១០០៥០៦០ Lao ໑໐໐໕໐໖໐ Burmese ၁၀၀၅၀၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005060, here are decompositions:

  • 11 + 1005049 = 1005060
  • 19 + 1005041 = 1005060
  • 31 + 1005029 = 1005060
  • 41 + 1005019 = 1005060
  • 47 + 1005013 = 1005060
  • 53 + 1005007 = 1005060
  • 73 + 1004987 = 1005060
  • 79 + 1004981 = 1005060

Showing the first eight; more decompositions exist.

Hex color
#0F5604
RGB(15, 86, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.86.4.

Address
0.15.86.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.86.4

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 1,005,060 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°.