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1,063,010

1,063,010 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.).

1,063,010 (one million sixty-three thousand ten) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2 × 5 × 13² × 17 × 37. Its proper divisors sum to 1,190,086, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103862.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
103,601
Square (n²)
1,129,990,260,100
Cube (n³)
1,201,190,946,388,901,000
Divisor count
48
σ(n) — sum of divisors
2,253,096
φ(n) — Euler's totient
359,424
Sum of prime factors
87

Primality

Prime factorization: 2 × 5 × 13 2 × 17 × 37

Nearest primes: 1,063,009 (−1) · 1,063,019 (+9)

Divisors & multiples

All divisors (48)
1 · 2 · 5 · 10 · 13 · 17 · 26 · 34 · 37 · 65 · 74 · 85 · 130 · 169 · 170 · 185 · 221 · 338 · 370 · 442 · 481 · 629 · 845 · 962 · 1105 · 1258 · 1690 · 2210 · 2405 · 2873 · 3145 · 4810 · 5746 · 6253 · 6290 · 8177 · 12506 · 14365 · 16354 · 28730 · 31265 · 40885 · 62530 · 81770 · 106301 · 212602 · 531505 (half) · 1063010
Aliquot sum (sum of proper divisors): 1,190,086
Factor pairs (a × b = 1,063,010)
1 × 1063010
2 × 531505
5 × 212602
10 × 106301
13 × 81770
17 × 62530
26 × 40885
34 × 31265
37 × 28730
65 × 16354
74 × 14365
85 × 12506
130 × 8177
169 × 6290
170 × 6253
185 × 5746
221 × 4810
338 × 3145
370 × 2873
442 × 2405
481 × 2210
629 × 1690
845 × 1258
962 × 1105
First multiples
1,063,010 · 2,126,020 (double) · 3,189,030 · 4,252,040 · 5,315,050 · 6,378,060 · 7,441,070 · 8,504,080 · 9,567,090 · 10,630,100

Sums & aliquot sequence

As a sum of two squares: 7² + 1,031² = 91² + 1,027² = 157² + 1,019² = 247² + 1,001²
As consecutive integers: 265,751 + 265,752 + 265,753 + 265,754 212,600 + 212,601 + 212,602 + 212,603 + 212,604 81,764 + 81,765 + … + 81,776 62,522 + 62,523 + … + 62,538
Aliquot sequence: 1,063,010 → 1,190,086 → 595,046 → 297,526 → 148,766 → 74,386 → 45,818 → 25,222 → 12,614 → 10,714 → 6,854 → 3,946 → 1,976 → 2,224 → 2,116 → 1,755 → 1,605 — unresolved within range

Continued fraction of √n

√1,063,010 = [1031; (42, 12, 5, 1, 1, 1, 2, 3, 1, 1, 1, 11, 1, 1, 3, 1, 1, 16, 2, 11, 1, 2, 1, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one million sixty-three thousand ten
Ordinal
1063010th
Binary
100000011100001100010
Octal
4034142
Hexadecimal
0x103862
Base64
EDhi
One's complement
4,293,904,285 (32-bit)
Scientific notation
1.06301 × 10⁶
As a duration
1,063,010 s = 12 days, 7 hours, 16 minutes, 50 seconds
In other bases
ternary (3) 2000000011202
quaternary (4) 10003201202
quinary (5) 233004020
senary (6) 34441202
septenary (7) 12015104
nonary (9) 2000152
undecimal (11) 666723
duodecimal (12) 433202
tridecimal (13) 2b2b00
tetradecimal (14) 1d9574
pentadecimal (15) 15ee75

As an angle

1,063,010° = 2,952 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆
Chinese
一百零六萬三千零一十
Chinese (financial)
壹佰零陸萬參仟零壹拾
In other modern scripts
Eastern Arabic ١٠٦٣٠١٠ Devanagari १०६३०१० Bengali ১০৬৩০১০ Tamil ௧௦௬௩௦௧௦ Thai ๑๐๖๓๐๑๐ Tibetan ༡༠༦༣༠༡༠ Khmer ១០៦៣០១០ Lao ໑໐໖໓໐໑໐ Burmese ၁၀၆၃၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1063010, here are decompositions:

  • 31 + 1062979 = 1063010
  • 61 + 1062949 = 1063010
  • 79 + 1062931 = 1063010
  • 97 + 1062913 = 1063010
  • 103 + 1062907 = 1063010
  • 139 + 1062871 = 1063010
  • 163 + 1062847 = 1063010
  • 229 + 1062781 = 1063010

Showing the first eight; more decompositions exist.

Hex color
#103862
RGB(16, 56, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.56.98.

Address
0.16.56.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.56.98

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 6, 3010 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3010-06-01 (DMMYYYY (Euro, single-digit day))
  • 3010-10-06 (MMDYYYY (US, single-digit day))
  • 3010-06-10 (DDMYYYY (Euro, single-digit month))
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 1,063,010 and was likely granted around 1913.

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°.