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1,050,000

1,050,000 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.).

1,050,000 (one million fifty thousand) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3 × 5⁵ × 7. Its proper divisors sum to 2,824,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100590.

Abundant Number Frugal Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
501
Square (n²)
1,102,500,000,000
Cube (n³)
1,157,625,000,000,000,000
Divisor count
120
σ(n) — sum of divisors
3,874,752
φ(n) — Euler's totient
240,000
Sum of prime factors
43

Primality

Prime factorization: 2 4 × 3 × 5 5 × 7

Nearest primes: 1,049,999 (−1) · 1,050,011 (+11)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 42 · 48 · 50 · 56 · 60 · 70 · 75 · 80 · 84 · 100 · 105 · 112 · 120 · 125 · 140 · 150 · 168 · 175 · 200 · 210 · 240 · 250 · 280 · 300 · 336 · 350 · 375 · 400 · 420 · 500 · 525 · 560 · 600 · 625 · 700 · 750 · 840 · 875 · 1000 · 1050 · 1200 · 1250 · 1400 · 1500 · 1680 · 1750 · 1875 · 2000 · 2100 · 2500 · 2625 · 2800 · 3000 · 3125 · 3500 · 3750 · 4200 · 4375 · 5000 · 5250 · 6000 · 6250 · 7000 · 7500 · 8400 · 8750 · 9375 · 10000 · 10500 · 12500 · 13125 · 14000 · 15000 · 17500 · 18750 · 21000 · 21875 · 25000 · 26250 · 30000 · 35000 · 37500 · 42000 · 43750 · 50000 · 52500 · 65625 · 70000 · 75000 · 87500 · 105000 · 131250 · 150000 · 175000 · 210000 · 262500 · 350000 · 525000 (half) · 1050000
Aliquot sum (sum of proper divisors): 2,824,752
Factor pairs (a × b = 1,050,000)
1 × 1050000
2 × 525000
3 × 350000
4 × 262500
5 × 210000
6 × 175000
7 × 150000
8 × 131250
10 × 105000
12 × 87500
14 × 75000
15 × 70000
16 × 65625
20 × 52500
21 × 50000
24 × 43750
25 × 42000
28 × 37500
30 × 35000
35 × 30000
40 × 26250
42 × 25000
48 × 21875
50 × 21000
56 × 18750
60 × 17500
70 × 15000
75 × 14000
80 × 13125
84 × 12500
100 × 10500
105 × 10000
112 × 9375
120 × 8750
125 × 8400
140 × 7500
150 × 7000
168 × 6250
175 × 6000
200 × 5250
210 × 5000
240 × 4375
250 × 4200
280 × 3750
300 × 3500
336 × 3125
350 × 3000
375 × 2800
400 × 2625
420 × 2500
500 × 2100
525 × 2000
560 × 1875
600 × 1750
625 × 1680
700 × 1500
750 × 1400
840 × 1250
875 × 1200
1000 × 1050
First multiples
1,050,000 · 2,100,000 (double) · 3,150,000 · 4,200,000 · 5,250,000 · 6,300,000 · 7,350,000 · 8,400,000 · 9,450,000 · 10,500,000

Sums & aliquot sequence

As consecutive integers: 349,999 + 350,000 + 350,001 209,998 + 209,999 + 210,000 + 210,001 + 210,002 149,997 + 149,998 + … + 150,003 69,993 + 69,994 + … + 70,007
Aliquot sequence: 1,050,000 2,824,752 5,670,984 9,796,056 14,694,144 27,359,112 49,686,648 93,806,472 142,907,928 221,106,072 384,074,088 576,111,192 910,629,288 1,557,427,212 2,737,297,404 4,194,194,436 6,407,797,146 — unresolved within range

Continued fraction of √n

√1,050,000 = [1024; (1, 2, 3, 1, 1, 2, 1, 2, 1, 1, 3, 1, 2, 2, 1, 11, 2, 2, 1, 3, 1, 81, 5, 3, …)]

Representations

In words
one million fifty thousand
Ordinal
1050000th
Binary
100000000010110010000
Octal
4002620
Hexadecimal
0x100590
Base64
EAWQ
One's complement
4,293,917,295 (32-bit)
Scientific notation
1.05 × 10⁶
As a duration
1,050,000 s = 12 days, 3 hours, 40 minutes
In other bases
ternary (3) 1222100022220
quaternary (4) 10000112100
quinary (5) 232100000
senary (6) 34301040
septenary (7) 11632140
nonary (9) 1870286
undecimal (11) 657976
duodecimal (12) 427780
tridecimal (13) 2a9c03
tetradecimal (14) 1d4920
pentadecimal (15) 15b1a0

As an angle

1,050,000° = 2,916 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍
Chinese
一百零五萬
Chinese (financial)
壹佰零伍萬
In other modern scripts
Eastern Arabic ١٠٥٠٠٠٠ Devanagari १०५०००० Bengali ১০৫০০০০ Tamil ௧௦௫௦௦௦௦ Thai ๑๐๕๐๐๐๐ Tibetan ༡༠༥༠༠༠༠ Khmer ១០៥០០០០ Lao ໑໐໕໐໐໐໐ Burmese ၁၀၅၀၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050000, here are decompositions:

  • 23 + 1049977 = 1050000
  • 37 + 1049963 = 1050000
  • 47 + 1049953 = 1050000
  • 59 + 1049941 = 1050000
  • 101 + 1049899 = 1050000
  • 103 + 1049897 = 1050000
  • 109 + 1049891 = 1050000
  • 137 + 1049863 = 1050000

Showing the first eight; more decompositions exist.

Hex color
#100590
RGB(16, 5, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.5.144.

Address
0.16.5.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.5.144

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

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 1,050,000 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°.