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1,063,728

1,063,728 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.).

1,063,728 (one million sixty-three thousand seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 83 × 89. Its proper divisors sum to 1,982,952, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103B30.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
8,273,601
Square (n²)
1,131,517,257,984
Cube (n³)
1,203,626,589,800,804,352
Divisor count
60
σ(n) — sum of divisors
3,046,680
φ(n) — Euler's totient
346,368
Sum of prime factors
186

Primality

Prime factorization: 2 4 × 3 2 × 83 × 89

Nearest primes: 1,063,721 (−7) · 1,063,729 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 83 · 89 · 144 · 166 · 178 · 249 · 267 · 332 · 356 · 498 · 534 · 664 · 712 · 747 · 801 · 996 · 1068 · 1328 · 1424 · 1494 · 1602 · 1992 · 2136 · 2988 · 3204 · 3984 · 4272 · 5976 · 6408 · 7387 · 11952 · 12816 · 14774 · 22161 · 29548 · 44322 · 59096 · 66483 · 88644 · 118192 · 132966 · 177288 · 265932 · 354576 · 531864 (half) · 1063728
Aliquot sum (sum of proper divisors): 1,982,952
Factor pairs (a × b = 1,063,728)
1 × 1063728
2 × 531864
3 × 354576
4 × 265932
6 × 177288
8 × 132966
9 × 118192
12 × 88644
16 × 66483
18 × 59096
24 × 44322
36 × 29548
48 × 22161
72 × 14774
83 × 12816
89 × 11952
144 × 7387
166 × 6408
178 × 5976
249 × 4272
267 × 3984
332 × 3204
356 × 2988
498 × 2136
534 × 1992
664 × 1602
712 × 1494
747 × 1424
801 × 1328
996 × 1068
First multiples
1,063,728 · 2,127,456 (double) · 3,191,184 · 4,254,912 · 5,318,640 · 6,382,368 · 7,446,096 · 8,509,824 · 9,573,552 · 10,637,280

Sums & aliquot sequence

As consecutive integers: 354,575 + 354,576 + 354,577 118,188 + 118,189 + … + 118,196 33,226 + 33,227 + … + 33,257 12,775 + 12,776 + … + 12,857
Aliquot sequence: 1,063,728 → 1,982,952 → 3,387,738 → 3,744,582 → 3,744,594 → 5,645,358 → 6,848,370 → 11,347,470 → 18,670,050 → 38,665,566 → 48,548,514 → 67,479,774 → 68,452,386 → 68,452,398 → 109,139,922 → 149,645,358 → 180,084,042 — unresolved within range

Continued fraction of √n

√1,063,728 = [1031; (2, 1, 2, 4, 1, 2, 64, 9, 2, 24, 1, 127, 1, 24, 2, 9, 64, 2, 1, 4, 2, 1, 2, 2062)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one million sixty-three thousand seven hundred twenty-eight
Ordinal
1063728th
Binary
100000011101100110000
Octal
4035460
Hexadecimal
0x103B30
Base64
EDsw
One's complement
4,293,903,567 (32-bit)
Scientific notation
1.063728 × 10⁶
As a duration
1,063,728 s = 12 days, 7 hours, 28 minutes, 48 seconds
In other bases
ternary (3) 2000001011100
quaternary (4) 10003230300
quinary (5) 233014403
senary (6) 34444400
septenary (7) 12020151
nonary (9) 2001140
undecimal (11) 667216
duodecimal (12) 433700
tridecimal (13) 2b3233
tetradecimal (14) 1d9928
pentadecimal (15) 1602a3

As an angle

1,063,728° = 2,954 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零六萬三千七百二十八
Chinese (financial)
壹佰零陸萬參仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١٠٦٣٧٢٨ Devanagari १०६३७२८ Bengali ১০৬৩৭২৮ Tamil ௧௦௬௩௭௨௮ Thai ๑๐๖๓๗๒๘ Tibetan ༡༠༦༣༧༢༨ Khmer ១០៦៣៧២៨ Lao ໑໐໖໓໗໒໘ Burmese ၁၀၆၃၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1063728, here are decompositions:

  • 7 + 1063721 = 1063728
  • 19 + 1063709 = 1063728
  • 67 + 1063661 = 1063728
  • 79 + 1063649 = 1063728
  • 101 + 1063627 = 1063728
  • 109 + 1063619 = 1063728
  • 131 + 1063597 = 1063728
  • 167 + 1063561 = 1063728

Showing the first eight; more decompositions exist.

Hex color
#103B30
RGB(16, 59, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.59.48.

Address
0.16.59.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.59.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 6, 3728 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3728-06-01 (DMMYYYY (Euro, single-digit day))
  • 3728-10-06 (MMDYYYY (US, single-digit day))
  • 3728-06-10 (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 1,063,728 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°.