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1,053,628

1,053,628 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.).

1,053,628 (one million fifty-three thousand six hundred twenty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 29 × 31 × 293. Written other ways, in hexadecimal, 0x1013BC.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
8,263,501
Square (n²)
1,110,131,962,384
Cube (n³)
1,169,666,119,262,729,152
Divisor count
24
σ(n) — sum of divisors
1,975,680
φ(n) — Euler's totient
490,560
Sum of prime factors
357

Primality

Prime factorization: 2 2 × 29 × 31 × 293

Nearest primes: 1,053,617 (−11) · 1,053,691 (+63)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 29 · 31 · 58 · 62 · 116 · 124 · 293 · 586 · 899 · 1172 · 1798 · 3596 · 8497 · 9083 · 16994 · 18166 · 33988 · 36332 · 263407 · 526814 (half) · 1053628
Aliquot sum (sum of proper divisors): 922,052
Factor pairs (a × b = 1,053,628)
1 × 1053628
2 × 526814
4 × 263407
29 × 36332
31 × 33988
58 × 18166
62 × 16994
116 × 9083
124 × 8497
293 × 3596
586 × 1798
899 × 1172
First multiples
1,053,628 · 2,107,256 (double) · 3,160,884 · 4,214,512 · 5,268,140 · 6,321,768 · 7,375,396 · 8,429,024 · 9,482,652 · 10,536,280

Sums & aliquot sequence

As consecutive integers: 131,700 + 131,701 + … + 131,707 36,318 + 36,319 + … + 36,346 33,973 + 33,974 + … + 34,003 4,426 + 4,427 + … + 4,657
Aliquot sequence: 1,053,628 922,052 719,308 539,488 570,320 755,860 1,058,540 1,482,292 1,509,452 1,759,156 1,759,212 3,885,588 8,012,844 15,933,540 35,998,620 79,198,308 182,226,492 — unresolved within range

Continued fraction of √n

√1,053,628 = [1026; (2, 6, 2, 2, 2, 1, 5, 2, 1, 6, 4, 2, 2, 16, 1, 1, 3, 1, 5, 2, 2, 7, 1, 1, …)]

Representations

In words
one million fifty-three thousand six hundred twenty-eight
Ordinal
1053628th
Binary
100000001001110111100
Octal
4011674
Hexadecimal
0x1013BC
Base64
EBO8
One's complement
4,293,913,667 (32-bit)
Scientific notation
1.053628 × 10⁶
As a duration
1,053,628 s = 12 days, 4 hours, 40 minutes, 28 seconds
In other bases
ternary (3) 1222112022021
quaternary (4) 10001032330
quinary (5) 232204003
senary (6) 34325524
septenary (7) 11645542
nonary (9) 1875267
undecimal (11) 65a674
duodecimal (12) 4298a4
tridecimal (13) 2ab764
tetradecimal (14) 1d5d92
pentadecimal (15) 15c2bd

As an angle

1,053,628° = 2,926 × 360° + 268°
268° ≈ 4.677 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬三千六百二十八
Chinese (financial)
壹佰零伍萬參仟陸佰貳拾捌
In other modern scripts
Eastern Arabic ١٠٥٣٦٢٨ Devanagari १०५३६२८ Bengali ১০৫৩৬২৮ Tamil ௧௦௫௩௬௨௮ Thai ๑๐๕๓๖๒๘ Tibetan ༡༠༥༣༦༢༨ Khmer ១០៥៣៦២៨ Lao ໑໐໕໓໖໒໘ Burmese ၁၀၅၃၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053628, here are decompositions:

  • 11 + 1053617 = 1053628
  • 47 + 1053581 = 1053628
  • 71 + 1053557 = 1053628
  • 89 + 1053539 = 1053628
  • 131 + 1053497 = 1053628
  • 137 + 1053491 = 1053628
  • 167 + 1053461 = 1053628
  • 179 + 1053449 = 1053628

Showing the first eight; more decompositions exist.

Hex color
#1013BC
RGB(16, 19, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.19.188.

Address
0.16.19.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.19.188

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 3628 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3628-05-01 (DMMYYYY (Euro, single-digit day))
  • 3628-10-05 (MMDYYYY (US, single-digit day))
  • 3628-05-10 (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 1,053,628 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°.