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1,050,448

1,050,448 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.).

1,050,448 (one million fifty thousand four hundred forty-eight) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 83 × 113. Its proper divisors sum to 1,324,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100750.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
21 bits
Reversed
8,440,501
Square (n²)
1,103,441,000,704
Cube (n³)
1,159,107,392,307,515,392
Divisor count
40
σ(n) — sum of divisors
2,374,848
φ(n) — Euler's totient
440,832
Sum of prime factors
211

Primality

Prime factorization: 2 4 × 7 × 83 × 113

Nearest primes: 1,050,437 (−11) · 1,050,449 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 83 · 112 · 113 · 166 · 226 · 332 · 452 · 581 · 664 · 791 · 904 · 1162 · 1328 · 1582 · 1808 · 2324 · 3164 · 4648 · 6328 · 9296 · 9379 · 12656 · 18758 · 37516 · 65653 · 75032 · 131306 · 150064 · 262612 · 525224 (half) · 1050448
Aliquot sum (sum of proper divisors): 1,324,400
Factor pairs (a × b = 1,050,448)
1 × 1050448
2 × 525224
4 × 262612
7 × 150064
8 × 131306
14 × 75032
16 × 65653
28 × 37516
56 × 18758
83 × 12656
112 × 9379
113 × 9296
166 × 6328
226 × 4648
332 × 3164
452 × 2324
581 × 1808
664 × 1582
791 × 1328
904 × 1162
First multiples
1,050,448 · 2,100,896 (double) · 3,151,344 · 4,201,792 · 5,252,240 · 6,302,688 · 7,353,136 · 8,403,584 · 9,454,032 · 10,504,480

Sums & aliquot sequence

As consecutive integers: 150,061 + 150,062 + … + 150,067 32,811 + 32,812 + … + 32,842 12,615 + 12,616 + … + 12,697 9,240 + 9,241 + … + 9,352
Aliquot sequence: 1,050,448 1,324,400 2,734,864 3,202,256 3,509,368 3,070,712 2,686,888 2,446,892 2,606,548 2,654,764 2,748,116 2,863,084 2,863,140 6,862,044 11,591,972 11,827,228 12,250,028 — unresolved within range

Continued fraction of √n

√1,050,448 = [1024; (1, 10, 1, 1, 2, 1, 1, 3, 14, 18, 14, 3, 1, 1, 2, 1, 1, 10, 1, 2048)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million fifty thousand four hundred forty-eight
Ordinal
1050448th
Binary
100000000011101010000
Octal
4003520
Hexadecimal
0x100750
Base64
EAdQ
One's complement
4,293,916,847 (32-bit)
Scientific notation
1.050448 × 10⁶
As a duration
1,050,448 s = 12 days, 3 hours, 47 minutes, 28 seconds
In other bases
ternary (3) 1222100221111
quaternary (4) 10000131100
quinary (5) 232103243
senary (6) 34303104
septenary (7) 11633350
nonary (9) 1870844
undecimal (11) 658243
duodecimal (12) 427a94
tridecimal (13) 2aa189
tetradecimal (14) 1d4b60
pentadecimal (15) 15b39d

As an angle

1,050,448° = 2,917 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬零四百四十八
Chinese (financial)
壹佰零伍萬零肆佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٥٠٤٤٨ Devanagari १०५०४४८ Bengali ১০৫০৪৪৮ Tamil ௧௦௫௦௪௪௮ Thai ๑๐๕๐๔๔๘ Tibetan ༡༠༥༠༤༤༨ Khmer ១០៥០៤៤៨ Lao ໑໐໕໐໔໔໘ Burmese ၁၀၅၀၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050448, here are decompositions:

  • 11 + 1050437 = 1050448
  • 17 + 1050431 = 1050448
  • 131 + 1050317 = 1050448
  • 167 + 1050281 = 1050448
  • 251 + 1050197 = 1050448
  • 257 + 1050191 = 1050448
  • 281 + 1050167 = 1050448
  • 449 + 1049999 = 1050448

Showing the first eight; more decompositions exist.

Hex color
#100750
RGB(16, 7, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.7.80.

Address
0.16.7.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.7.80

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 0448 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0448-05-01 (DMMYYYY (Euro, single-digit day))
  • 0448-10-05 (MMDYYYY (US, single-digit day))
  • 0448-05-10 (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 1,050,448 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°.