number.wiki
Live analysis

1,059,084

1,059,084 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.).

1,059,084 (one million fifty-nine thousand eighty-four) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 13 × 31 × 73. Its proper divisors sum to 1,957,748, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x10290C.

Abundant Number Cube-Free Evil Number 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
4,809,501
Square (n²)
1,121,658,919,056
Cube (n³)
1,187,931,014,629,504,704
Divisor count
72
σ(n) — sum of divisors
3,016,832
φ(n) — Euler's totient
311,040
Sum of prime factors
127

Primality

Prime factorization: 2 2 × 3 2 × 13 × 31 × 73

Nearest primes: 1,059,077 (−7) · 1,059,103 (+19)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 31 · 36 · 39 · 52 · 62 · 73 · 78 · 93 · 117 · 124 · 146 · 156 · 186 · 219 · 234 · 279 · 292 · 372 · 403 · 438 · 468 · 558 · 657 · 806 · 876 · 949 · 1116 · 1209 · 1314 · 1612 · 1898 · 2263 · 2418 · 2628 · 2847 · 3627 · 3796 · 4526 · 4836 · 5694 · 6789 · 7254 · 8541 · 9052 · 11388 · 13578 · 14508 · 17082 · 20367 · 27156 · 29419 · 34164 · 40734 · 58838 · 81468 · 88257 · 117676 · 176514 · 264771 · 353028 · 529542 (half) · 1059084
Aliquot sum (sum of proper divisors): 1,957,748
Factor pairs (a × b = 1,059,084)
1 × 1059084
2 × 529542
3 × 353028
4 × 264771
6 × 176514
9 × 117676
12 × 88257
13 × 81468
18 × 58838
26 × 40734
31 × 34164
36 × 29419
39 × 27156
52 × 20367
62 × 17082
73 × 14508
78 × 13578
93 × 11388
117 × 9052
124 × 8541
146 × 7254
156 × 6789
186 × 5694
219 × 4836
234 × 4526
279 × 3796
292 × 3627
372 × 2847
403 × 2628
438 × 2418
468 × 2263
558 × 1898
657 × 1612
806 × 1314
876 × 1209
949 × 1116
First multiples
1,059,084 · 2,118,168 (double) · 3,177,252 · 4,236,336 · 5,295,420 · 6,354,504 · 7,413,588 · 8,472,672 · 9,531,756 · 10,590,840

Sums & aliquot sequence

As consecutive integers: 353,027 + 353,028 + 353,029 132,382 + 132,383 + … + 132,389 117,672 + 117,673 + … + 117,680 81,462 + 81,463 + … + 81,474
Aliquot sequence: 1,059,084 → 1,957,748 → 1,731,952 → 1,623,736 → 1,420,784 → 1,332,016 → 1,671,884 → 1,316,500 → 1,559,828 → 1,169,878 → 641,642 → 320,824 → 409,256 → 358,114 → 179,060 → 251,020 → 410,228 — unresolved within range

Continued fraction of √n

√1,059,084 = [1029; (8, 2, 7, 1, 2, 1, 2, 3, 3, 1, 6, 5, 2, 1, 2, 2, 1, 16, 3, 3, 1, 5, 1, 1, …)]

Representations

In words
one million fifty-nine thousand eighty-four
Ordinal
1059084th
Binary
100000010100100001100
Octal
4024414
Hexadecimal
0x10290C
Base64
ECkM
One's complement
4,293,908,211 (32-bit)
Scientific notation
1.059084 × 10⁶
As a duration
1,059,084 s = 12 days, 6 hours, 11 minutes, 24 seconds
In other bases
ternary (3) 1222210210100
quaternary (4) 10002210030
quinary (5) 232342314
senary (6) 34411100
septenary (7) 12000465
nonary (9) 1883710
undecimal (11) 663784
duodecimal (12) 430a90
tridecimal (13) 2b10a0
tetradecimal (14) 1d7d6c
pentadecimal (15) 15dc09

As an angle

1,059,084° = 2,941 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬九千零八十四
Chinese (financial)
壹佰零伍萬玖仟零捌拾肆
In other modern scripts
Eastern Arabic ١٠٥٩٠٨٤ Devanagari १०५९०८४ Bengali ১০৫৯০৮৪ Tamil ௧௦௫௯௦௮௪ Thai ๑๐๕๙๐๘๔ Tibetan ༡༠༥༩༠༨༤ Khmer ១០៥៩០៨៤ Lao ໑໐໕໙໐໘໔ Burmese ၁၀၅၉၀၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1059084, here are decompositions:

  • 7 + 1059077 = 1059084
  • 11 + 1059073 = 1059084
  • 17 + 1059067 = 1059084
  • 23 + 1059061 = 1059084
  • 67 + 1059017 = 1059084
  • 83 + 1059001 = 1059084
  • 101 + 1058983 = 1059084
  • 163 + 1058921 = 1059084

Showing the first eight; more decompositions exist.

Hex color
#10290C
RGB(16, 41, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.41.12.

Address
0.16.41.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.41.12

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 9084 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9084-05-01 (DMMYYYY (Euro, single-digit day))
  • 9084-10-05 (MMDYYYY (US, single-digit day))
  • 9084-05-10 (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 1,059,084 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°.