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1,046,016

1,046,016 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.).

1,046,016 (one million forty-six thousand sixteen) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁹ × 3² × 227. Its proper divisors sum to 1,986,156, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFF600.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
6,106,401
Square (n²)
1,094,149,472,256
Cube (n³)
1,144,497,854,371,332,096
Divisor count
60
σ(n) — sum of divisors
3,032,172
φ(n) — Euler's totient
347,136
Sum of prime factors
251

Primality

Prime factorization: 2 9 × 3 2 × 227

Nearest primes: 1,045,997 (−19) · 1,046,029 (+13)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 128 · 144 · 192 · 227 · 256 · 288 · 384 · 454 · 512 · 576 · 681 · 768 · 908 · 1152 · 1362 · 1536 · 1816 · 2043 · 2304 · 2724 · 3632 · 4086 · 4608 · 5448 · 7264 · 8172 · 10896 · 14528 · 16344 · 21792 · 29056 · 32688 · 43584 · 58112 · 65376 · 87168 · 116224 · 130752 · 174336 · 261504 · 348672 · 523008 (half) · 1046016
Aliquot sum (sum of proper divisors): 1,986,156
Factor pairs (a × b = 1,046,016)
1 × 1046016
2 × 523008
3 × 348672
4 × 261504
6 × 174336
8 × 130752
9 × 116224
12 × 87168
16 × 65376
18 × 58112
24 × 43584
32 × 32688
36 × 29056
48 × 21792
64 × 16344
72 × 14528
96 × 10896
128 × 8172
144 × 7264
192 × 5448
227 × 4608
256 × 4086
288 × 3632
384 × 2724
454 × 2304
512 × 2043
576 × 1816
681 × 1536
768 × 1362
908 × 1152
First multiples
1,046,016 · 2,092,032 (double) · 3,138,048 · 4,184,064 · 5,230,080 · 6,276,096 · 7,322,112 · 8,368,128 · 9,414,144 · 10,460,160

Sums & aliquot sequence

As consecutive integers: 348,671 + 348,672 + 348,673 116,220 + 116,221 + … + 116,228 4,495 + 4,496 + … + 4,721 1,196 + 1,197 + … + 1,876
Aliquot sequence: 1,046,016 1,986,156 3,034,496 3,089,584 3,090,576 5,282,400 12,716,448 21,749,088 35,342,520 72,705,000 162,344,760 324,689,880 652,947,720 1,329,526,200 2,869,870,200 6,544,705,800 14,960,614,200 — keeps growing

Continued fraction of √n

√1,046,016 = [1022; (1, 2, 1, 81, 14, 3, 2, 2, 1, 5, 2, 1, 3, 3, 4, 2, 3, 1, 2, 5, 1, 20, 4, 11, …)]

Representations

In words
one million forty-six thousand sixteen
Ordinal
1046016th
Binary
11111111011000000000
Octal
3773000
Hexadecimal
0xFF600
Base64
D/YA
One's complement
4,293,921,279 (32-bit)
Scientific notation
1.046016 × 10⁶
As a duration
1,046,016 s = 12 days, 2 hours, 33 minutes, 36 seconds
In other bases
ternary (3) 1222010212100
quaternary (4) 3333120000
quinary (5) 231433031
senary (6) 34230400
septenary (7) 11614416
nonary (9) 1863770
undecimal (11) 654984
duodecimal (12) 425400
tridecimal (13) 2a815a
tetradecimal (14) 1d32b6
pentadecimal (15) 159de6

As an angle

1,046,016° = 2,905 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬六千零一十六
Chinese (financial)
壹佰零肆萬陸仟零壹拾陸
In other modern scripts
Eastern Arabic ١٠٤٦٠١٦ Devanagari १०४६०१६ Bengali ১০৪৬০১৬ Tamil ௧௦௪௬௦௧௬ Thai ๑๐๔๖๐๑๖ Tibetan ༡༠༤༦༠༡༦ Khmer ១០៤៦០១៦ Lao ໑໐໔໖໐໑໖ Burmese ၁၀၄၆၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1046016, here are decompositions:

  • 19 + 1045997 = 1046016
  • 29 + 1045987 = 1046016
  • 53 + 1045963 = 1046016
  • 109 + 1045907 = 1046016
  • 113 + 1045903 = 1046016
  • 157 + 1045859 = 1046016
  • 197 + 1045819 = 1046016
  • 277 + 1045739 = 1046016

Showing the first eight; more decompositions exist.

Hex color
#0FF600
RGB(15, 246, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.246.0.

Address
0.15.246.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.246.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 6016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6016-04-01 (DMMYYYY (Euro, single-digit day))
  • 6016-10-04 (MMDYYYY (US, single-digit day))
  • 6016-04-10 (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 1,046,016 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1046016 first appears in π at position 286,510 of the decimal expansion (the 286,510ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.