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1,048,050

1,048,050 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.).

1,048,050 (one million forty-eight thousand fifty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2 × 3² × 5² × 17 × 137. Its proper divisors sum to 1,955,106, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFFDF2.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
508,401
Square (n²)
1,098,408,802,500
Cube (n³)
1,151,187,345,460,125,000
Divisor count
72
σ(n) — sum of divisors
3,003,156
φ(n) — Euler's totient
261,120
Sum of prime factors
172

Primality

Prime factorization: 2 × 3 2 × 5 2 × 17 × 137

Nearest primes: 1,048,049 (−1) · 1,048,051 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 17 · 18 · 25 · 30 · 34 · 45 · 50 · 51 · 75 · 85 · 90 · 102 · 137 · 150 · 153 · 170 · 225 · 255 · 274 · 306 · 411 · 425 · 450 · 510 · 685 · 765 · 822 · 850 · 1233 · 1275 · 1370 · 1530 · 2055 · 2329 · 2466 · 2550 · 3425 · 3825 · 4110 · 4658 · 6165 · 6850 · 6987 · 7650 · 10275 · 11645 · 12330 · 13974 · 20550 · 20961 · 23290 · 30825 · 34935 · 41922 · 58225 · 61650 · 69870 · 104805 · 116450 · 174675 · 209610 · 349350 · 524025 (half) · 1048050
Aliquot sum (sum of proper divisors): 1,955,106
Factor pairs (a × b = 1,048,050)
1 × 1048050
2 × 524025
3 × 349350
5 × 209610
6 × 174675
9 × 116450
10 × 104805
15 × 69870
17 × 61650
18 × 58225
25 × 41922
30 × 34935
34 × 30825
45 × 23290
50 × 20961
51 × 20550
75 × 13974
85 × 12330
90 × 11645
102 × 10275
137 × 7650
150 × 6987
153 × 6850
170 × 6165
225 × 4658
255 × 4110
274 × 3825
306 × 3425
411 × 2550
425 × 2466
450 × 2329
510 × 2055
685 × 1530
765 × 1370
822 × 1275
850 × 1233
First multiples
1,048,050 · 2,096,100 (double) · 3,144,150 · 4,192,200 · 5,240,250 · 6,288,300 · 7,336,350 · 8,384,400 · 9,432,450 · 10,480,500

Sums & aliquot sequence

As a sum of two squares: 39² + 1,023² = 195² + 1,005² = 249² + 993² = 447² + 921²
As consecutive integers: 349,349 + 349,350 + 349,351 262,011 + 262,012 + 262,013 + 262,014 209,608 + 209,609 + 209,610 + 209,611 + 209,612 116,446 + 116,447 + … + 116,454
Aliquot sequence: 1,048,050 1,955,106 2,372,958 3,673,602 4,353,534 5,321,106 8,440,974 10,032,858 13,681,638 16,764,570 28,444,230 51,881,850 91,085,190 170,188,410 318,849,414 401,878,650 594,780,774 — unresolved within range

Continued fraction of √n

√1,048,050 = [1023; (1, 2, 1, 8, 2, 1, 6, 81, 1, 2, 1, 226, 1, 2, 1, 81, 6, 1, 2, 8, 1, 2, 1, 2046)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one million forty-eight thousand fifty
Ordinal
1048050th
Binary
11111111110111110010
Octal
3776762
Hexadecimal
0xFFDF2
Base64
D/3y
One's complement
4,293,919,245 (32-bit)
Scientific notation
1.04805 × 10⁶
As a duration
1,048,050 s = 12 days, 3 hours, 7 minutes, 30 seconds
In other bases
ternary (3) 1222020122200
quaternary (4) 3333313302
quinary (5) 232014200
senary (6) 34244030
septenary (7) 11623353
nonary (9) 1866580
undecimal (11) 656463
duodecimal (12) 426616
tridecimal (13) 2a9063
tetradecimal (14) 1d3d2a
pentadecimal (15) 15a800

As an angle

1,048,050° = 2,911 × 360° + 90°
90° ≈ 1.571 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆
Chinese
一百零四萬八千零五十
Chinese (financial)
壹佰零肆萬捌仟零伍拾
In other modern scripts
Eastern Arabic ١٠٤٨٠٥٠ Devanagari १०४८०५० Bengali ১০৪৮০৫০ Tamil ௧௦௪௮௦௫௦ Thai ๑๐๔๘๐๕๐ Tibetan ༡༠༤༨༠༥༠ Khmer ១០៤៨០៥០ Lao ໑໐໔໘໐໕໐ Burmese ၁၀၄၈၀၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1048050, here are decompositions:

  • 7 + 1048043 = 1048050
  • 23 + 1048027 = 1048050
  • 37 + 1048013 = 1048050
  • 41 + 1048009 = 1048050
  • 43 + 1048007 = 1048050
  • 53 + 1047997 = 1048050
  • 61 + 1047989 = 1048050
  • 71 + 1047979 = 1048050

Showing the first eight; more decompositions exist.

Hex color
#0FFDF2
RGB(15, 253, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.253.242.

Address
0.15.253.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.253.242

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 8050 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8050-04-01 (DMMYYYY (Euro, single-digit day))
  • 8050-10-04 (MMDYYYY (US, single-digit day))
  • 8050-04-10 (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 1,048,050 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°.