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1,053,216

1,053,216 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.).

1,053,216 (one million fifty-three thousand two hundred sixteen) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3³ × 23 × 53. Its proper divisors sum to 2,212,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101220.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
6,123,501
Square (n²)
1,109,263,942,656
Cube (n³)
1,168,294,532,628,381,696
Divisor count
96
σ(n) — sum of divisors
3,265,920
φ(n) — Euler's totient
329,472
Sum of prime factors
95

Primality

Prime factorization: 2 5 × 3 3 × 23 × 53

Nearest primes: 1,053,197 (−19) · 1,053,233 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 23 · 24 · 27 · 32 · 36 · 46 · 48 · 53 · 54 · 69 · 72 · 92 · 96 · 106 · 108 · 138 · 144 · 159 · 184 · 207 · 212 · 216 · 276 · 288 · 318 · 368 · 414 · 424 · 432 · 477 · 552 · 621 · 636 · 736 · 828 · 848 · 864 · 954 · 1104 · 1219 · 1242 · 1272 · 1431 · 1656 · 1696 · 1908 · 2208 · 2438 · 2484 · 2544 · 2862 · 3312 · 3657 · 3816 · 4876 · 4968 · 5088 · 5724 · 6624 · 7314 · 7632 · 9752 · 9936 · 10971 · 11448 · 14628 · 15264 · 19504 · 19872 · 21942 · 22896 · 29256 · 32913 · 39008 · 43884 · 45792 · 58512 · 65826 · 87768 · 117024 · 131652 · 175536 · 263304 · 351072 · 526608 (half) · 1053216
Aliquot sum (sum of proper divisors): 2,212,704
Factor pairs (a × b = 1,053,216)
1 × 1053216
2 × 526608
3 × 351072
4 × 263304
6 × 175536
8 × 131652
9 × 117024
12 × 87768
16 × 65826
18 × 58512
23 × 45792
24 × 43884
27 × 39008
32 × 32913
36 × 29256
46 × 22896
48 × 21942
53 × 19872
54 × 19504
69 × 15264
72 × 14628
92 × 11448
96 × 10971
106 × 9936
108 × 9752
138 × 7632
144 × 7314
159 × 6624
184 × 5724
207 × 5088
212 × 4968
216 × 4876
276 × 3816
288 × 3657
318 × 3312
368 × 2862
414 × 2544
424 × 2484
432 × 2438
477 × 2208
552 × 1908
621 × 1696
636 × 1656
736 × 1431
828 × 1272
848 × 1242
864 × 1219
954 × 1104
First multiples
1,053,216 · 2,106,432 (double) · 3,159,648 · 4,212,864 · 5,266,080 · 6,319,296 · 7,372,512 · 8,425,728 · 9,478,944 · 10,532,160

Sums & aliquot sequence

As consecutive integers: 351,071 + 351,072 + 351,073 117,020 + 117,021 + … + 117,028 45,781 + 45,782 + … + 45,803 38,995 + 38,996 + … + 39,021
Aliquot sequence: 1,053,216 2,212,704 4,772,736 9,323,664 18,204,336 33,115,296 56,171,328 96,484,704 156,787,896 235,181,904 387,194,928 613,058,760 1,550,742,840 3,647,613,960 8,222,939,280 19,507,603,560 — keeps growing

Continued fraction of √n

√1,053,216 = [1026; (3, 1, 4, 81, 1, 8, 7, 2, 3, 2, 1, 227, 2, 1, 3, 7, 2, 8, 1, 1, 1, 8, 2, 7, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one million fifty-three thousand two hundred sixteen
Ordinal
1053216th
Binary
100000001001000100000
Octal
4011040
Hexadecimal
0x101220
Base64
EBIg
One's complement
4,293,914,079 (32-bit)
Scientific notation
1.053216 × 10⁶
As a duration
1,053,216 s = 12 days, 4 hours, 33 minutes, 36 seconds
In other bases
ternary (3) 1222111202000
quaternary (4) 10001020200
quinary (5) 232200331
senary (6) 34324000
septenary (7) 11644413
nonary (9) 1874660
undecimal (11) 65a32a
duodecimal (12) 429600
tridecimal (13) 2ab508
tetradecimal (14) 1d5b7a
pentadecimal (15) 15c0e6

As an angle

1,053,216° = 2,925 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬三千二百一十六
Chinese (financial)
壹佰零伍萬參仟貳佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٥٣٢١٦ Devanagari १०५३२१६ Bengali ১০৫৩২১৬ Tamil ௧௦௫௩௨௧௬ Thai ๑๐๕๓๒๑๖ Tibetan ༡༠༥༣༢༡༦ Khmer ១០៥៣២១៦ Lao ໑໐໕໓໒໑໖ Burmese ၁၀၅၃၂၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053216, here are decompositions:

  • 19 + 1053197 = 1053216
  • 37 + 1053179 = 1053216
  • 113 + 1053103 = 1053216
  • 127 + 1053089 = 1053216
  • 137 + 1053079 = 1053216
  • 149 + 1053067 = 1053216
  • 223 + 1052993 = 1053216
  • 277 + 1052939 = 1053216

Showing the first eight; more decompositions exist.

Hex color
#101220
RGB(16, 18, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.18.32.

Address
0.16.18.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.18.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 3216 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3216-05-01 (DMMYYYY (Euro, single-digit day))
  • 3216-10-05 (MMDYYYY (US, single-digit day))
  • 3216-05-10 (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 1,053,216 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°.