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1,061,022

1,061,022 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.).

1,061,022 (one million sixty-one thousand twenty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 181 × 977. Its proper divisors sum to 1,074,930, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x10309E.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
2,201,601
Square (n²)
1,125,767,684,484
Cube (n³)
1,194,464,280,126,582,648
Divisor count
16
σ(n) — sum of divisors
2,135,952
φ(n) — Euler's totient
351,360
Sum of prime factors
1,163

Primality

Prime factorization: 2 × 3 × 181 × 977

Nearest primes: 1,060,993 (−29) · 1,061,033 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 181 · 362 · 543 · 977 · 1086 · 1954 · 2931 · 5862 · 176837 · 353674 · 530511 (half) · 1061022
Aliquot sum (sum of proper divisors): 1,074,930
Factor pairs (a × b = 1,061,022)
1 × 1061022
2 × 530511
3 × 353674
6 × 176837
181 × 5862
362 × 2931
543 × 1954
977 × 1086
First multiples
1,061,022 · 2,122,044 (double) · 3,183,066 · 4,244,088 · 5,305,110 · 6,366,132 · 7,427,154 · 8,488,176 · 9,549,198 · 10,610,220

Sums & aliquot sequence

As consecutive integers: 353,673 + 353,674 + 353,675 265,254 + 265,255 + 265,256 + 265,257 88,413 + 88,414 + … + 88,424 5,772 + 5,773 + … + 5,952
Aliquot sequence: 1,061,022 → 1,074,930 → 1,504,974 → 1,504,986 → 1,997,094 → 2,360,346 → 2,383,878 → 3,111,162 → 3,263,430 → 4,625,178 → 4,625,190 → 8,111,898 → 10,389,702 → 10,389,714 → 11,434,926 → 11,434,938 → 12,075,462 — unresolved within range

Continued fraction of √n

√1,061,022 = [1030; (16, 1, 7, 1, 3, 47, 1, 1, 1, 7, 5, 30, 1, 1, 4, 4, 1, 5, 1, 3, 2, 2, 2, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one million sixty-one thousand twenty-two
Ordinal
1061022nd
Binary
100000011000010011110
Octal
4030236
Hexadecimal
0x10309E
Base64
EDCe
One's complement
4,293,906,273 (32-bit)
Scientific notation
1.061022 × 10⁶
As a duration
1,061,022 s = 12 days, 6 hours, 43 minutes, 42 seconds
In other bases
ternary (3) 1222220110010
quaternary (4) 10003002132
quinary (5) 232423042
senary (6) 34424050
septenary (7) 12006234
nonary (9) 1886403
undecimal (11) 665186
duodecimal (12) 432026
tridecimal (13) 2b1c31
tetradecimal (14) 1d8954
pentadecimal (15) 15e59c

As an angle

1,061,022° = 2,947 × 360° + 102°
102° ≈ 1.78 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓏺𓏺
Chinese
一百零六萬一千零二十二
Chinese (financial)
壹佰零陸萬壹仟零貳拾貳
In other modern scripts
Eastern Arabic ١٠٦١٠٢٢ Devanagari १०६१०२२ Bengali ১০৬১০২২ Tamil ௧௦௬௧௦௨௨ Thai ๑๐๖๑๐๒๒ Tibetan ༡༠༦༡༠༢༢ Khmer ១០៦១០២២ Lao ໑໐໖໑໐໒໒ Burmese ၁၀၆၁၀၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1061022, here are decompositions:

  • 29 + 1060993 = 1061022
  • 31 + 1060991 = 1061022
  • 41 + 1060981 = 1061022
  • 59 + 1060963 = 1061022
  • 73 + 1060949 = 1061022
  • 139 + 1060883 = 1061022
  • 241 + 1060781 = 1061022
  • 283 + 1060739 = 1061022

Showing the first eight; more decompositions exist.

Hex color
#10309E
RGB(16, 48, 158)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.48.158.

Address
0.16.48.158
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.48.158

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 6, 1022 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1022-06-01 (DMMYYYY (Euro, single-digit day))
  • 1022-10-06 (MMDYYYY (US, single-digit day))
  • 1022-06-10 (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 1,061,022 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°.