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1,048,016

1,048,016 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.).

1,048,016 (one million forty-eight thousand sixteen) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 17 × 3,853. Its proper divisors sum to 1,102,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFFDD0.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
6,108,401
Square (n²)
1,098,337,536,256
Cube (n³)
1,151,075,311,396,868,096
Divisor count
20
σ(n) — sum of divisors
2,150,532
φ(n) — Euler's totient
493,056
Sum of prime factors
3,878

Primality

Prime factorization: 2 4 × 17 × 3853

Nearest primes: 1,048,013 (−3) · 1,048,027 (+11)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 17 · 34 · 68 · 136 · 272 · 3853 · 7706 · 15412 · 30824 · 61648 · 65501 · 131002 · 262004 · 524008 (half) · 1048016
Aliquot sum (sum of proper divisors): 1,102,516
Factor pairs (a × b = 1,048,016)
1 × 1048016
2 × 524008
4 × 262004
8 × 131002
16 × 65501
17 × 61648
34 × 30824
68 × 15412
136 × 7706
272 × 3853
First multiples
1,048,016 · 2,096,032 (double) · 3,144,048 · 4,192,064 · 5,240,080 · 6,288,096 · 7,336,112 · 8,384,128 · 9,432,144 · 10,480,160

Sums & aliquot sequence

As a sum of two squares: 200² + 1,004² = 296² + 980²
As consecutive integers: 61,640 + 61,641 + … + 61,656 32,735 + 32,736 + … + 32,766 1,655 + 1,656 + … + 2,198
Aliquot sequence: 1,048,016 1,102,516 846,704 793,816 717,824 719,170 575,354 354,106 182,618 91,312 99,648 187,626 187,638 221,898 236,598 247,242 253,878 — unresolved within range

Continued fraction of √n

√1,048,016 = [1023; (1, 2, 1, 1, 1, 10, 2, 3, 8, 3, 1, 1, 2, 1, 1, 3, 1, 8, 1, 7, 14, 2, 127, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one million forty-eight thousand sixteen
Ordinal
1048016th
Binary
11111111110111010000
Octal
3776720
Hexadecimal
0xFFDD0
Base64
D/3Q
One's complement
4,293,919,279 (32-bit)
Scientific notation
1.048016 × 10⁶
As a duration
1,048,016 s = 12 days, 3 hours, 6 minutes, 56 seconds
In other bases
ternary (3) 1222020121102
quaternary (4) 3333313100
quinary (5) 232014031
senary (6) 34243532
septenary (7) 11623304
nonary (9) 1866542
undecimal (11) 656432
duodecimal (12) 4265a8
tridecimal (13) 2a9038
tetradecimal (14) 1d3d04
pentadecimal (15) 15a7cb

As an angle

1,048,016° = 2,911 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬八千零一十六
Chinese (financial)
壹佰零肆萬捌仟零壹拾陸
In other modern scripts
Eastern Arabic ١٠٤٨٠١٦ Devanagari १०४८०१६ Bengali ১০৪৮০১৬ Tamil ௧௦௪௮௦௧௬ Thai ๑๐๔๘๐๑๖ Tibetan ༡༠༤༨༠༡༦ Khmer ១០៤៨០១៦ Lao ໑໐໔໘໐໑໖ Burmese ၁၀၄၈၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1048016, here are decompositions:

  • 3 + 1048013 = 1048016
  • 7 + 1048009 = 1048016
  • 19 + 1047997 = 1048016
  • 37 + 1047979 = 1048016
  • 157 + 1047859 = 1048016
  • 313 + 1047703 = 1048016
  • 349 + 1047667 = 1048016
  • 367 + 1047649 = 1048016

Showing the first eight; more decompositions exist.

Hex color
#0FFDD0
RGB(15, 253, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.253.208.

Address
0.15.253.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.253.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 8016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8016-04-01 (DMMYYYY (Euro, single-digit day))
  • 8016-10-04 (MMDYYYY (US, single-digit day))
  • 8016-04-10 (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 1,048,016 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°.