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1,047,728

1,047,728 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.).

1,047,728 (one million forty-seven thousand seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 5,953. Its proper divisors sum to 1,167,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFFCB0.

Abundant Number Odious Number Pernicious Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
8,277,401
Square (n²)
1,097,733,961,984
Cube (n³)
1,150,126,608,521,572,352
Divisor count
20
σ(n) — sum of divisors
2,214,888
φ(n) — Euler's totient
476,160
Sum of prime factors
5,972

Primality

Prime factorization: 2 4 × 11 × 5953

Nearest primes: 1,047,721 (−7) · 1,047,737 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 · 176 · 5953 · 11906 · 23812 · 47624 · 65483 · 95248 · 130966 · 261932 · 523864 (half) · 1047728
Aliquot sum (sum of proper divisors): 1,167,160
Factor pairs (a × b = 1,047,728)
1 × 1047728
2 × 523864
4 × 261932
8 × 130966
11 × 95248
16 × 65483
22 × 47624
44 × 23812
88 × 11906
176 × 5953
First multiples
1,047,728 · 2,095,456 (double) · 3,143,184 · 4,190,912 · 5,238,640 · 6,286,368 · 7,334,096 · 8,381,824 · 9,429,552 · 10,477,280

Sums & aliquot sequence

As consecutive integers: 95,243 + 95,244 + … + 95,253 32,726 + 32,727 + … + 32,757 2,801 + 2,802 + … + 3,152
Aliquot sequence: 1,047,728 1,167,160 1,459,040 2,305,840 3,631,280 5,259,520 9,162,944 11,917,024 14,896,784 18,679,750 16,289,210 17,579,590 20,989,370 16,791,514 8,395,760 11,124,568 16,167,032 — unresolved within range

Continued fraction of √n

√1,047,728 = [1023; (1, 1, 2, 2, 2, 2, 1, 20, 2, 1, 1, 17, 1, 1, 13, 22, 1, 12, 1, 7, 26, 1, 4, 3, …)]

Representations

In words
one million forty-seven thousand seven hundred twenty-eight
Ordinal
1047728th
Binary
11111111110010110000
Octal
3776260
Hexadecimal
0xFFCB0
Base64
D/yw
One's complement
4,293,919,567 (32-bit)
Scientific notation
1.047728 × 10⁶
As a duration
1,047,728 s = 12 days, 3 hours, 2 minutes, 8 seconds
In other bases
ternary (3) 1222020012202
quaternary (4) 3333302300
quinary (5) 232011403
senary (6) 34242332
septenary (7) 11622413
nonary (9) 1866182
undecimal (11) 6561a0
duodecimal (12) 4263a8
tridecimal (13) 2a8b76
tetradecimal (14) 1d3b7a
pentadecimal (15) 15a688

As an angle

1,047,728° = 2,910 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬七千七百二十八
Chinese (financial)
壹佰零肆萬柒仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١٠٤٧٧٢٨ Devanagari १०४७७२८ Bengali ১০৪৭৭২৮ Tamil ௧௦௪௭௭௨௮ Thai ๑๐๔๗๗๒๘ Tibetan ༡༠༤༧༧༢༨ Khmer ១០៤៧៧២៨ Lao ໑໐໔໗໗໒໘ Burmese ၁၀၄၇၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1047728, here are decompositions:

  • 7 + 1047721 = 1047728
  • 37 + 1047691 = 1047728
  • 61 + 1047667 = 1047728
  • 79 + 1047649 = 1047728
  • 139 + 1047589 = 1047728
  • 229 + 1047499 = 1047728
  • 337 + 1047391 = 1047728
  • 349 + 1047379 = 1047728

Showing the first eight; more decompositions exist.

Hex color
#0FFCB0
RGB(15, 252, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.252.176.

Address
0.15.252.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.252.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 7728 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7728-04-01 (DMMYYYY (Euro, single-digit day))
  • 7728-10-04 (MMDYYYY (US, single-digit day))
  • 7728-04-10 (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 1,047,728 and was likely granted around 1912.

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°.