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1,053,864

1,053,864 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.).

1,053,864 (one million fifty-three thousand eight hundred sixty-four) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3³ × 7 × 17 × 41. Its proper divisors sum to 2,574,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1014A8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
4,683,501
Square (n²)
1,110,629,330,496
Cube (n³)
1,170,452,268,753,836,544
Divisor count
128
σ(n) — sum of divisors
3,628,800
φ(n) — Euler's totient
276,480
Sum of prime factors
80

Primality

Prime factorization: 2 3 × 3 3 × 7 × 17 × 41

Nearest primes: 1,053,863 (−1) · 1,053,953 (+89)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 17 · 18 · 21 · 24 · 27 · 28 · 34 · 36 · 41 · 42 · 51 · 54 · 56 · 63 · 68 · 72 · 82 · 84 · 102 · 108 · 119 · 123 · 126 · 136 · 153 · 164 · 168 · 189 · 204 · 216 · 238 · 246 · 252 · 287 · 306 · 328 · 357 · 369 · 378 · 408 · 459 · 476 · 492 · 504 · 574 · 612 · 697 · 714 · 738 · 756 · 861 · 918 · 952 · 984 · 1071 · 1107 · 1148 · 1224 · 1394 · 1428 · 1476 · 1512 · 1722 · 1836 · 2091 · 2142 · 2214 · 2296 · 2583 · 2788 · 2856 · 2952 · 3213 · 3444 · 3672 · 4182 · 4284 · 4428 · 4879 · 5166 · 5576 · 6273 · 6426 · 6888 · 7749 · 8364 · 8568 · 8856 · 9758 · 10332 · 12546 · 12852 · 14637 · 15498 · 16728 · 18819 · 19516 · 20664 · 25092 · 25704 · 29274 · 30996 · 37638 · 39032 · 43911 · 50184 · 58548 · 61992 · 75276 · 87822 · 117096 · 131733 · 150552 · 175644 · 263466 · 351288 · 526932 (half) · 1053864
Aliquot sum (sum of proper divisors): 2,574,936
Factor pairs (a × b = 1,053,864)
1 × 1053864
2 × 526932
3 × 351288
4 × 263466
6 × 175644
7 × 150552
8 × 131733
9 × 117096
12 × 87822
14 × 75276
17 × 61992
18 × 58548
21 × 50184
24 × 43911
27 × 39032
28 × 37638
34 × 30996
36 × 29274
41 × 25704
42 × 25092
51 × 20664
54 × 19516
56 × 18819
63 × 16728
68 × 15498
72 × 14637
82 × 12852
84 × 12546
102 × 10332
108 × 9758
119 × 8856
123 × 8568
126 × 8364
136 × 7749
153 × 6888
164 × 6426
168 × 6273
189 × 5576
204 × 5166
216 × 4879
238 × 4428
246 × 4284
252 × 4182
287 × 3672
306 × 3444
328 × 3213
357 × 2952
369 × 2856
378 × 2788
408 × 2583
459 × 2296
476 × 2214
492 × 2142
504 × 2091
574 × 1836
612 × 1722
697 × 1512
714 × 1476
738 × 1428
756 × 1394
861 × 1224
918 × 1148
952 × 1107
984 × 1071
First multiples
1,053,864 · 2,107,728 (double) · 3,161,592 · 4,215,456 · 5,269,320 · 6,323,184 · 7,377,048 · 8,430,912 · 9,484,776 · 10,538,640

Sums & aliquot sequence

As consecutive integers: 351,287 + 351,288 + 351,289 150,549 + 150,550 + … + 150,555 117,092 + 117,093 + … + 117,100 65,859 + 65,860 + … + 65,874
Aliquot sequence: 1,053,864 2,574,936 6,295,464 13,192,056 23,375,904 39,493,056 66,997,968 106,080,240 272,752,656 541,480,944 858,760,288 850,926,152 762,488,548 635,220,380 775,415,140 875,894,492 796,267,804 — unresolved within range

Continued fraction of √n

√1,053,864 = [1026; (1, 1, 2, 1, 2, 16, 1, 1, 2, 227, 1, 2, 1, 2, 1, 1, 6, 1, 1, 2, 1, 2, 1, 227, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one million fifty-three thousand eight hundred sixty-four
Ordinal
1053864th
Binary
100000001010010101000
Octal
4012250
Hexadecimal
0x1014A8
Base64
EBSo
One's complement
4,293,913,431 (32-bit)
Scientific notation
1.053864 × 10⁶
As a duration
1,053,864 s = 12 days, 4 hours, 44 minutes, 24 seconds
In other bases
ternary (3) 1222112122000
quaternary (4) 10001102220
quinary (5) 232210424
senary (6) 34331000
septenary (7) 11646330
nonary (9) 1875560
undecimal (11) 65a869
duodecimal (12) 429a60
tridecimal (13) 2ab8b6
tetradecimal (14) 1d60c0
pentadecimal (15) 15c3c9

As an angle

1,053,864° = 2,927 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬三千八百六十四
Chinese (financial)
壹佰零伍萬參仟捌佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٥٣٨٦٤ Devanagari १०५३८६४ Bengali ১০৫৩৮৬৪ Tamil ௧௦௫௩௮௬௪ Thai ๑๐๕๓๘๖๔ Tibetan ༡༠༥༣༨༦༤ Khmer ១០៥៣៨៦៤ Lao ໑໐໕໓໘໖໔ Burmese ၁၀၅၃၈၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053864, here are decompositions:

  • 37 + 1053827 = 1053864
  • 43 + 1053821 = 1053864
  • 47 + 1053817 = 1053864
  • 107 + 1053757 = 1053864
  • 127 + 1053737 = 1053864
  • 137 + 1053727 = 1053864
  • 151 + 1053713 = 1053864
  • 157 + 1053707 = 1053864

Showing the first eight; more decompositions exist.

Hex color
#1014A8
RGB(16, 20, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.20.168.

Address
0.16.20.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.20.168

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 3864 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3864-05-01 (DMMYYYY (Euro, single-digit day))
  • 3864-10-05 (MMDYYYY (US, single-digit day))
  • 3864-05-10 (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 1,053,864 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°.