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1,052,116

1,052,116 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.).

1,052,116 (one million fifty-two thousand one hundred sixteen) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 20,233. Written other ways, in hexadecimal, 0x100DD4.

Cube-Free Deficient Number Evil Number Happy Number Self Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
6,112,501
Square (n²)
1,106,948,077,456
Cube (n³)
1,164,637,783,460,696,896
Divisor count
12
σ(n) — sum of divisors
1,982,932
φ(n) — Euler's totient
485,568
Sum of prime factors
20,250

Primality

Prime factorization: 2 2 × 13 × 20233

Nearest primes: 1,052,111 (−5) · 1,052,119 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 20233 · 40466 · 80932 · 263029 · 526058 (half) · 1052116
Aliquot sum (sum of proper divisors): 930,816
Factor pairs (a × b = 1,052,116)
1 × 1052116
2 × 526058
4 × 263029
13 × 80932
26 × 40466
52 × 20233
First multiples
1,052,116 · 2,104,232 (double) · 3,156,348 · 4,208,464 · 5,260,580 · 6,312,696 · 7,364,812 · 8,416,928 · 9,469,044 · 10,521,160

Sums & aliquot sequence

As a sum of two squares: 210² + 1,004² = 580² + 846²
As consecutive integers: 131,511 + 131,512 + … + 131,518 80,926 + 80,927 + … + 80,938 10,065 + 10,066 + … + 10,168
Aliquot sequence: 1,052,116 930,816 1,783,506 1,783,518 2,180,514 2,847,966 3,365,922 4,327,710 6,129,282 6,850,590 9,590,898 9,622,158 14,064,498 20,762,190 35,121,330 58,536,270 123,085,170 — unresolved within range

Continued fraction of √n

√1,052,116 = [1025; (1, 2, 1, 1, 1, 38, 14, 4, 1, 1, 5, 1, 22, 1, 2, 1, 2, 1, 4, 1, 1, 3, 5, 3, …)]

Representations

In words
one million fifty-two thousand one hundred sixteen
Ordinal
1052116th
Binary
100000000110111010100
Octal
4006724
Hexadecimal
0x100DD4
Base64
EA3U
One's complement
4,293,915,179 (32-bit)
Scientific notation
1.052116 × 10⁶
As a duration
1,052,116 s = 12 days, 4 hours, 15 minutes, 16 seconds
In other bases
ternary (3) 1222110020021
quaternary (4) 10000313110
quinary (5) 232131431
senary (6) 34314524
septenary (7) 11641252
nonary (9) 1873207
undecimal (11) 65951a
duodecimal (12) 428a44
tridecimal (13) 2aab70
tetradecimal (14) 1d55d2
pentadecimal (15) 15bb11

As an angle

1,052,116° = 2,922 × 360° + 196°
196° ≈ 3.421 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬二千一百一十六
Chinese (financial)
壹佰零伍萬貳仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٥٢١١٦ Devanagari १०५२११६ Bengali ১০৫২১১৬ Tamil ௧௦௫௨௧௧௬ Thai ๑๐๕๒๑๑๖ Tibetan ༡༠༥༢༡༡༦ Khmer ១០៥២១១៦ Lao ໑໐໕໒໑໑໖ Burmese ၁၀၅၂၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052116, here are decompositions:

  • 5 + 1052111 = 1052116
  • 17 + 1052099 = 1052116
  • 53 + 1052063 = 1052116
  • 89 + 1052027 = 1052116
  • 137 + 1051979 = 1052116
  • 167 + 1051949 = 1052116
  • 227 + 1051889 = 1052116
  • 269 + 1051847 = 1052116

Showing the first eight; more decompositions exist.

Hex color
#100DD4
RGB(16, 13, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.13.212.

Address
0.16.13.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.13.212

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 2116 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2116-05-01 (DMMYYYY (Euro, single-digit day))
  • 2116-10-05 (MMDYYYY (US, single-digit day))
  • 2116-05-10 (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 1,052,116 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°.