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1,052,022

1,052,022 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.).

1,052,022 (one million fifty-two thousand twenty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 271 × 647. Its proper divisors sum to 1,063,050, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100D76.

Abundant Number Arithmetic Number Cube-Free Odious 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
2,202,501
Square (n²)
1,106,750,288,484
Cube (n³)
1,164,325,651,991,514,648
Divisor count
16
σ(n) — sum of divisors
2,115,072
φ(n) — Euler's totient
348,840
Sum of prime factors
923

Primality

Prime factorization: 2 × 3 × 271 × 647

Nearest primes: 1,051,991 (−31) · 1,052,027 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 271 · 542 · 647 · 813 · 1294 · 1626 · 1941 · 3882 · 175337 · 350674 · 526011 (half) · 1052022
Aliquot sum (sum of proper divisors): 1,063,050
Factor pairs (a × b = 1,052,022)
1 × 1052022
2 × 526011
3 × 350674
6 × 175337
271 × 3882
542 × 1941
647 × 1626
813 × 1294
First multiples
1,052,022 · 2,104,044 (double) · 3,156,066 · 4,208,088 · 5,260,110 · 6,312,132 · 7,364,154 · 8,416,176 · 9,468,198 · 10,520,220

Sums & aliquot sequence

As consecutive integers: 350,673 + 350,674 + 350,675 263,004 + 263,005 + 263,006 + 263,007 87,663 + 87,664 + … + 87,674 3,747 + 3,748 + … + 4,017
Aliquot sequence: 1,052,022 1,063,050 1,719,510 2,725,770 3,971,382 3,971,394 6,104,958 6,132,498 6,132,510 10,751,346 13,384,974 13,384,986 13,824,582 13,824,594 22,277,934 32,886,786 33,223,038 — unresolved within range

Continued fraction of √n

√1,052,022 = [1025; (1, 2, 7, 3, 2, 2, 1, 1, 2, 1, 1, 2, 2, 3, 7, 2, 1, 2050)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one million fifty-two thousand twenty-two
Ordinal
1052022nd
Binary
100000000110101110110
Octal
4006566
Hexadecimal
0x100D76
Base64
EA12
One's complement
4,293,915,273 (32-bit)
Scientific notation
1.052022 × 10⁶
As a duration
1,052,022 s = 12 days, 4 hours, 13 minutes, 42 seconds
In other bases
ternary (3) 1222110002210
quaternary (4) 10000311312
quinary (5) 232131042
senary (6) 34314250
septenary (7) 11641056
nonary (9) 1873083
undecimal (11) 659444
duodecimal (12) 428986
tridecimal (13) 2aaaca
tetradecimal (14) 1d5566
pentadecimal (15) 15ba9c

As an angle

1,052,022° = 2,922 × 360° + 102°
102° ≈ 1.78 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓏺𓏺
Chinese
一百零五萬二千零二十二
Chinese (financial)
壹佰零伍萬貳仟零貳拾貳
In other modern scripts
Eastern Arabic ١٠٥٢٠٢٢ Devanagari १०५२०२२ Bengali ১০৫২০২২ Tamil ௧௦௫௨௦௨௨ Thai ๑๐๕๒๐๒๒ Tibetan ༡༠༥༢༠༢༢ Khmer ១០៥២០២២ Lao ໑໐໕໒໐໒໒ Burmese ၁၀၅၂၀၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052022, here are decompositions:

  • 31 + 1051991 = 1052022
  • 43 + 1051979 = 1052022
  • 61 + 1051961 = 1052022
  • 73 + 1051949 = 1052022
  • 109 + 1051913 = 1052022
  • 173 + 1051849 = 1052022
  • 193 + 1051829 = 1052022
  • 211 + 1051811 = 1052022

Showing the first eight; more decompositions exist.

Hex color
#100D76
RGB(16, 13, 118)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.13.118.

Address
0.16.13.118
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.13.118

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 2022 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2022-05-01 (DMMYYYY (Euro, single-digit day))
  • 2022-10-05 (MMDYYYY (US, single-digit day))
  • 2022-05-10 (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 1,052,022 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°.