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1,057,056

1,057,056 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.).

1,057,056 (one million fifty-seven thousand fifty-six) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3 × 7 × 11² × 13. Its proper divisors sum to 2,696,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x102120.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
6,507,501
Square (n²)
1,117,367,387,136
Cube (n³)
1,181,119,900,776,431,616
Divisor count
144
σ(n) — sum of divisors
3,753,792
φ(n) — Euler's totient
253,440
Sum of prime factors
55

Primality

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

Nearest primes: 1,057,051 (−5) · 1,057,087 (+31)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 11 · 12 · 13 · 14 · 16 · 21 · 22 · 24 · 26 · 28 · 32 · 33 · 39 · 42 · 44 · 48 · 52 · 56 · 66 · 77 · 78 · 84 · 88 · 91 · 96 · 104 · 112 · 121 · 132 · 143 · 154 · 156 · 168 · 176 · 182 · 208 · 224 · 231 · 242 · 264 · 273 · 286 · 308 · 312 · 336 · 352 · 363 · 364 · 416 · 429 · 462 · 484 · 528 · 546 · 572 · 616 · 624 · 672 · 726 · 728 · 847 · 858 · 924 · 968 · 1001 · 1056 · 1092 · 1144 · 1232 · 1248 · 1452 · 1456 · 1573 · 1694 · 1716 · 1848 · 1936 · 2002 · 2184 · 2288 · 2464 · 2541 · 2904 · 2912 · 3003 · 3146 · 3388 · 3432 · 3696 · 3872 · 4004 · 4368 · 4576 · 4719 · 5082 · 5808 · 6006 · 6292 · 6776 · 6864 · 7392 · 8008 · 8736 · 9438 · 10164 · 11011 · 11616 · 12012 · 12584 · 13552 · 13728 · 16016 · 18876 · 20328 · 22022 · 24024 · 25168 · 27104 · 32032 · 33033 · 37752 · 40656 · 44044 · 48048 · 50336 · 66066 · 75504 · 81312 · 88088 · 96096 · 132132 · 151008 · 176176 · 264264 · 352352 · 528528 (half) · 1057056
Aliquot sum (sum of proper divisors): 2,696,736
Factor pairs (a × b = 1,057,056)
1 × 1057056
2 × 528528
3 × 352352
4 × 264264
6 × 176176
7 × 151008
8 × 132132
11 × 96096
12 × 88088
13 × 81312
14 × 75504
16 × 66066
21 × 50336
22 × 48048
24 × 44044
26 × 40656
28 × 37752
32 × 33033
33 × 32032
39 × 27104
42 × 25168
44 × 24024
48 × 22022
52 × 20328
56 × 18876
66 × 16016
77 × 13728
78 × 13552
84 × 12584
88 × 12012
91 × 11616
96 × 11011
104 × 10164
112 × 9438
121 × 8736
132 × 8008
143 × 7392
154 × 6864
156 × 6776
168 × 6292
176 × 6006
182 × 5808
208 × 5082
224 × 4719
231 × 4576
242 × 4368
264 × 4004
273 × 3872
286 × 3696
308 × 3432
312 × 3388
336 × 3146
352 × 3003
363 × 2912
364 × 2904
416 × 2541
429 × 2464
462 × 2288
484 × 2184
528 × 2002
546 × 1936
572 × 1848
616 × 1716
624 × 1694
672 × 1573
726 × 1456
728 × 1452
847 × 1248
858 × 1232
924 × 1144
968 × 1092
1001 × 1056
First multiples
1,057,056 · 2,114,112 (double) · 3,171,168 · 4,228,224 · 5,285,280 · 6,342,336 · 7,399,392 · 8,456,448 · 9,513,504 · 10,570,560

Sums & aliquot sequence

As consecutive integers: 352,351 + 352,352 + 352,353 151,005 + 151,006 + … + 151,011 96,091 + 96,092 + … + 96,101 81,306 + 81,307 + … + 81,318
Aliquot sequence: 1,057,056 → 2,696,736 → 5,395,488 → 12,071,136 → 29,732,640 → 77,316,960 → 201,036,192 → 428,342,880 → 1,204,617,120 → 3,197,552,736 → 6,856,255,392 → 13,712,512,800 — keeps growing

Continued fraction of √n

√1,057,056 = [1028; (7, 1, 1, 3, 1, 2, 1, 1, 23, 16, 1, 19, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 19, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one million fifty-seven thousand fifty-six
Ordinal
1057056th
Binary
100000010000100100000
Octal
4020440
Hexadecimal
0x102120
Base64
ECEg
One's complement
4,293,910,239 (32-bit)
Scientific notation
1.057056 × 10⁶
As a duration
1,057,056 s = 12 days, 5 hours, 37 minutes, 36 seconds
In other bases
ternary (3) 1222201000020
quaternary (4) 10002010200
quinary (5) 232311211
senary (6) 34353440
septenary (7) 11661540
nonary (9) 1881006
undecimal (11) 662200
duodecimal (12) 42b880
tridecimal (13) 2b01a0
tetradecimal (14) 1d7320
pentadecimal (15) 15d306

As an angle

1,057,056° = 2,936 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬七千零五十六
Chinese (financial)
壹佰零伍萬柒仟零伍拾陸
In other modern scripts
Eastern Arabic ١٠٥٧٠٥٦ Devanagari १०५७०५६ Bengali ১০৫৭০৫৬ Tamil ௧௦௫௭௦௫௬ Thai ๑๐๕๗๐๕๖ Tibetan ༡༠༥༧༠༥༦ Khmer ១០៥៧០៥៦ Lao ໑໐໕໗໐໕໖ Burmese ၁၀၅၇၀၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1057056, here are decompositions:

  • 5 + 1057051 = 1057056
  • 19 + 1057037 = 1057056
  • 23 + 1057033 = 1057056
  • 37 + 1057019 = 1057056
  • 43 + 1057013 = 1057056
  • 53 + 1057003 = 1057056
  • 97 + 1056959 = 1057056
  • 107 + 1056949 = 1057056

Showing the first eight; more decompositions exist.

Hex color
#102120
RGB(16, 33, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.33.32.

Address
0.16.33.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.33.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 7056 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7056-05-01 (DMMYYYY (Euro, single-digit day))
  • 7056-10-05 (MMDYYYY (US, single-digit day))
  • 7056-05-10 (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 1,057,056 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°.