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1,052,106

1,052,106 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.).

1,052,106 (one million fifty-two thousand one hundred six) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 11 × 19 × 839. Its proper divisors sum to 1,367,094, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100DCA.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
6,012,501
Square (n²)
1,106,927,035,236
Cube (n³)
1,164,604,575,334,007,016
Divisor count
32
σ(n) — sum of divisors
2,419,200
φ(n) — Euler's totient
301,680
Sum of prime factors
874

Primality

Prime factorization: 2 × 3 × 11 × 19 × 839

Nearest primes: 1,052,099 (−7) · 1,052,111 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 11 · 19 · 22 · 33 · 38 · 57 · 66 · 114 · 209 · 418 · 627 · 839 · 1254 · 1678 · 2517 · 5034 · 9229 · 15941 · 18458 · 27687 · 31882 · 47823 · 55374 · 95646 · 175351 · 350702 · 526053 (half) · 1052106
Aliquot sum (sum of proper divisors): 1,367,094
Factor pairs (a × b = 1,052,106)
1 × 1052106
2 × 526053
3 × 350702
6 × 175351
11 × 95646
19 × 55374
22 × 47823
33 × 31882
38 × 27687
57 × 18458
66 × 15941
114 × 9229
209 × 5034
418 × 2517
627 × 1678
839 × 1254
First multiples
1,052,106 · 2,104,212 (double) · 3,156,318 · 4,208,424 · 5,260,530 · 6,312,636 · 7,364,742 · 8,416,848 · 9,468,954 · 10,521,060

Sums & aliquot sequence

As consecutive integers: 350,701 + 350,702 + 350,703 263,025 + 263,026 + 263,027 + 263,028 95,641 + 95,642 + … + 95,651 87,670 + 87,671 + … + 87,681
Aliquot sequence: 1,052,106 1,367,094 1,367,106 1,753,662 1,938,498 1,938,510 4,194,162 6,191,694 7,567,746 7,724,958 7,792,482 7,792,494 8,830,002 8,830,014 8,830,026 10,998,774 13,554,666 — unresolved within range

Continued fraction of √n

√1,052,106 = [1025; (1, 2, 1, 1, 2, 81, 1, 2, 49, 1, 2, 2, 1, 17, 1, 3, 1, 1, 2, 1, 30, 1, 5, 3, …)]

Representations

In words
one million fifty-two thousand one hundred six
Ordinal
1052106th
Binary
100000000110111001010
Octal
4006712
Hexadecimal
0x100DCA
Base64
EA3K
One's complement
4,293,915,189 (32-bit)
Scientific notation
1.052106 × 10⁶
As a duration
1,052,106 s = 12 days, 4 hours, 15 minutes, 6 seconds
In other bases
ternary (3) 1222110012220
quaternary (4) 10000313022
quinary (5) 232131411
senary (6) 34314510
septenary (7) 11641236
nonary (9) 1873186
undecimal (11) 659510
duodecimal (12) 428a36
tridecimal (13) 2aab63
tetradecimal (14) 1d55c6
pentadecimal (15) 15bb06

As an angle

1,052,106° = 2,922 × 360° + 186°
186° ≈ 3.246 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬二千一百零六
Chinese (financial)
壹佰零伍萬貳仟壹佰零陸
In other modern scripts
Eastern Arabic ١٠٥٢١٠٦ Devanagari १०५२१०६ Bengali ১০৫২১০৬ Tamil ௧௦௫௨௧௦௬ Thai ๑๐๕๒๑๐๖ Tibetan ༡༠༥༢༡༠༦ Khmer ១០៥២១០៦ Lao ໑໐໕໒໑໐໖ Burmese ၁၀၅၂၁၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052106, here are decompositions:

  • 7 + 1052099 = 1052106
  • 23 + 1052083 = 1052106
  • 43 + 1052063 = 1052106
  • 67 + 1052039 = 1052106
  • 79 + 1052027 = 1052106
  • 127 + 1051979 = 1052106
  • 149 + 1051957 = 1052106
  • 157 + 1051949 = 1052106

Showing the first eight; more decompositions exist.

Hex color
#100DCA
RGB(16, 13, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.13.202.

Address
0.16.13.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.13.202

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 2106 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2106-05-01 (DMMYYYY (Euro, single-digit day))
  • 2106-10-05 (MMDYYYY (US, single-digit day))
  • 2106-05-10 (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 1,052,106 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°.