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1,016,052

1,016,052 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.).

1,016,052 (one million sixteen thousand fifty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 227 × 373. Its proper divisors sum to 1,371,564, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF80F4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
2,506,101
Recamán's sequence
a(365,887) = 1,016,052
Square (n²)
1,032,361,666,704
Cube (n³)
1,048,933,136,177,932,608
Divisor count
24
σ(n) — sum of divisors
2,387,616
φ(n) — Euler's totient
336,288
Sum of prime factors
607

Primality

Prime factorization: 2 2 × 3 × 227 × 373

Nearest primes: 1,016,051 (−1) · 1,016,053 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 227 · 373 · 454 · 681 · 746 · 908 · 1119 · 1362 · 1492 · 2238 · 2724 · 4476 · 84671 · 169342 · 254013 · 338684 · 508026 (half) · 1016052
Aliquot sum (sum of proper divisors): 1,371,564
Factor pairs (a × b = 1,016,052)
1 × 1016052
2 × 508026
3 × 338684
4 × 254013
6 × 169342
12 × 84671
227 × 4476
373 × 2724
454 × 2238
681 × 1492
746 × 1362
908 × 1119
First multiples
1,016,052 · 2,032,104 (double) · 3,048,156 · 4,064,208 · 5,080,260 · 6,096,312 · 7,112,364 · 8,128,416 · 9,144,468 · 10,160,520

Sums & aliquot sequence

As consecutive integers: 338,683 + 338,684 + 338,685 127,003 + 127,004 + … + 127,010 42,324 + 42,325 + … + 42,347 4,363 + 4,364 + … + 4,589
Aliquot sequence: 1,016,052 1,371,564 2,210,196 3,025,804 2,284,620 4,912,500 9,524,076 12,698,796 21,532,884 29,051,916 38,735,916 52,998,804 81,838,080 216,996,960 466,544,976 755,680,368 1,196,494,040 — unresolved within range

Continued fraction of √n

√1,016,052 = [1007; (1, 166, 1, 2014)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one million sixteen thousand fifty-two
Ordinal
1016052nd
Binary
11111000000011110100
Octal
3700364
Hexadecimal
0xF80F4
Base64
D4D0
One's complement
4,293,951,243 (32-bit)
Scientific notation
1.016052 × 10⁶
As a duration
1,016,052 s = 11 days, 18 hours, 14 minutes, 12 seconds
In other bases
ternary (3) 1220121202120
quaternary (4) 3320003310
quinary (5) 230003202
senary (6) 33435540
septenary (7) 11431152
nonary (9) 1817676
undecimal (11) 634414
duodecimal (12) 40bbb0
tridecimal (13) 29761b
tetradecimal (14) 1c63d2
pentadecimal (15) 1510bc

As an angle

1,016,052° = 2,822 × 360° + 132°
132° ≈ 2.304 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零一萬六千零五十二
Chinese (financial)
壹佰零壹萬陸仟零伍拾貳
In other modern scripts
Eastern Arabic ١٠١٦٠٥٢ Devanagari १०१६०५२ Bengali ১০১৬০৫২ Tamil ௧௦௧௬௦௫௨ Thai ๑๐๑๖๐๕๒ Tibetan ༡༠༡༦༠༥༢ Khmer ១០១៦០៥២ Lao ໑໐໑໖໐໕໒ Burmese ၁၀၁၆၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016052, here are decompositions:

  • 19 + 1016033 = 1016052
  • 29 + 1016023 = 1016052
  • 41 + 1016011 = 1016052
  • 43 + 1016009 = 1016052
  • 61 + 1015991 = 1016052
  • 71 + 1015981 = 1016052
  • 139 + 1015913 = 1016052
  • 181 + 1015871 = 1016052

Showing the first eight; more decompositions exist.

Hex color
#0F80F4
RGB(15, 128, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.244.

Address
0.15.128.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.128.244

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 6052 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 6052-10-01 (MMDYYYY (US, single-digit day))
  • 6052-01-10 (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 1,016,052 and was likely granted around 1911.

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°.