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1,051,050

1,051,050 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.).

1,051,050 (one million fifty-one thousand fifty) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2 × 3 × 5² × 7² × 11 × 13. Its proper divisors sum to 2,511,222, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1009AA.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
501,501
Square (n²)
1,104,706,102,500
Cube (n³)
1,161,101,349,032,625,000
Divisor count
144
σ(n) — sum of divisors
3,562,272
φ(n) — Euler's totient
201,600
Sum of prime factors
53

Primality

Prime factorization: 2 × 3 × 5 2 × 7 2 × 11 × 13

Nearest primes: 1,051,027 (−23) · 1,051,051 (+1)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 5 · 6 · 7 · 10 · 11 · 13 · 14 · 15 · 21 · 22 · 25 · 26 · 30 · 33 · 35 · 39 · 42 · 49 · 50 · 55 · 65 · 66 · 70 · 75 · 77 · 78 · 91 · 98 · 105 · 110 · 130 · 143 · 147 · 150 · 154 · 165 · 175 · 182 · 195 · 210 · 231 · 245 · 273 · 275 · 286 · 294 · 325 · 330 · 350 · 385 · 390 · 429 · 455 · 462 · 490 · 525 · 539 · 546 · 550 · 637 · 650 · 715 · 735 · 770 · 825 · 858 · 910 · 975 · 1001 · 1050 · 1078 · 1155 · 1225 · 1274 · 1365 · 1430 · 1470 · 1617 · 1650 · 1911 · 1925 · 1950 · 2002 · 2145 · 2275 · 2310 · 2450 · 2695 · 2730 · 3003 · 3185 · 3234 · 3575 · 3675 · 3822 · 3850 · 4290 · 4550 · 5005 · 5390 · 5775 · 6006 · 6370 · 6825 · 7007 · 7150 · 7350 · 8085 · 9555 · 10010 · 10725 · 11550 · 13475 · 13650 · 14014 · 15015 · 15925 · 16170 · 19110 · 21021 · 21450 · 25025 · 26950 · 30030 · 31850 · 35035 · 40425 · 42042 · 47775 · 50050 · 70070 · 75075 · 80850 · 95550 · 105105 · 150150 · 175175 · 210210 · 350350 · 525525 (half) · 1051050
Aliquot sum (sum of proper divisors): 2,511,222
Factor pairs (a × b = 1,051,050)
1 × 1051050
2 × 525525
3 × 350350
5 × 210210
6 × 175175
7 × 150150
10 × 105105
11 × 95550
13 × 80850
14 × 75075
15 × 70070
21 × 50050
22 × 47775
25 × 42042
26 × 40425
30 × 35035
33 × 31850
35 × 30030
39 × 26950
42 × 25025
49 × 21450
50 × 21021
55 × 19110
65 × 16170
66 × 15925
70 × 15015
75 × 14014
77 × 13650
78 × 13475
91 × 11550
98 × 10725
105 × 10010
110 × 9555
130 × 8085
143 × 7350
147 × 7150
150 × 7007
154 × 6825
165 × 6370
175 × 6006
182 × 5775
195 × 5390
210 × 5005
231 × 4550
245 × 4290
273 × 3850
275 × 3822
286 × 3675
294 × 3575
325 × 3234
330 × 3185
350 × 3003
385 × 2730
390 × 2695
429 × 2450
455 × 2310
462 × 2275
490 × 2145
525 × 2002
539 × 1950
546 × 1925
550 × 1911
637 × 1650
650 × 1617
715 × 1470
735 × 1430
770 × 1365
825 × 1274
858 × 1225
910 × 1155
975 × 1078
1001 × 1050
First multiples
1,051,050 · 2,102,100 (double) · 3,153,150 · 4,204,200 · 5,255,250 · 6,306,300 · 7,357,350 · 8,408,400 · 9,459,450 · 10,510,500

Sums & aliquot sequence

As consecutive integers: 350,349 + 350,350 + 350,351 262,761 + 262,762 + 262,763 + 262,764 210,208 + 210,209 + 210,210 + 210,211 + 210,212 150,147 + 150,148 + … + 150,153
Aliquot sequence: 1,051,050 2,511,222 3,228,810 5,625,462 5,625,474 5,668,638 5,668,650 13,080,150 22,966,650 50,850,054 59,325,102 72,508,578 76,446,558 98,918,562 99,193,758 99,354,738 127,741,902 — unresolved within range

Continued fraction of √n

√1,051,050 = [1025; (4, 1, 4, 1, 2, 6, 1, 2, 1, 6, 2, 1, 4, 1, 4, 2050)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one million fifty-one thousand fifty
Ordinal
1051050th
Binary
100000000100110101010
Octal
4004652
Hexadecimal
0x1009AA
Base64
EAmq
One's complement
4,293,916,245 (32-bit)
Scientific notation
1.05105 × 10⁶
As a duration
1,051,050 s = 12 days, 3 hours, 57 minutes, 30 seconds
In other bases
ternary (3) 1222101202210
quaternary (4) 10000212222
quinary (5) 232113200
senary (6) 34305550
septenary (7) 11635200
nonary (9) 1871683
undecimal (11) 658740
duodecimal (12) 4282b6
tridecimal (13) 2aa530
tetradecimal (14) 1d5070
pentadecimal (15) 15b650

As an angle

1,051,050° = 2,919 × 360° + 210°
210° ≈ 3.665 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆
Chinese
一百零五萬一千零五十
Chinese (financial)
壹佰零伍萬壹仟零伍拾
In other modern scripts
Eastern Arabic ١٠٥١٠٥٠ Devanagari १०५१०५० Bengali ১০৫১০৫০ Tamil ௧௦௫௧௦௫௦ Thai ๑๐๕๑๐๕๐ Tibetan ༡༠༥༡༠༥༠ Khmer ១០៥១០៥០ Lao ໑໐໕໑໐໕໐ Burmese ၁၀၅၁၀၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051050, here are decompositions:

  • 23 + 1051027 = 1051050
  • 31 + 1051019 = 1051050
  • 41 + 1051009 = 1051050
  • 43 + 1051007 = 1051050
  • 47 + 1051003 = 1051050
  • 53 + 1050997 = 1051050
  • 73 + 1050977 = 1051050
  • 89 + 1050961 = 1051050

Showing the first eight; more decompositions exist.

Hex color
#1009AA
RGB(16, 9, 170)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.9.170.

Address
0.16.9.170
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.9.170

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 1050 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1050-05-01 (DMMYYYY (Euro, single-digit day))
  • 1050-10-05 (MMDYYYY (US, single-digit day))
  • 1050-05-10 (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 1,051,050 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°.