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1,046,112

1,046,112 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.).

1,046,112 (one million forty-six thousand one hundred twelve) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 17 × 641. Its proper divisors sum to 1,866,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFF660.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Refactorable Number 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
2,116,401
Square (n²)
1,094,350,316,544
Cube (n³)
1,144,812,998,340,476,928
Divisor count
48
σ(n) — sum of divisors
2,912,112
φ(n) — Euler's totient
327,680
Sum of prime factors
671

Primality

Prime factorization: 2 5 × 3 × 17 × 641

Nearest primes: 1,046,081 (−31) · 1,046,113 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 17 · 24 · 32 · 34 · 48 · 51 · 68 · 96 · 102 · 136 · 204 · 272 · 408 · 544 · 641 · 816 · 1282 · 1632 · 1923 · 2564 · 3846 · 5128 · 7692 · 10256 · 10897 · 15384 · 20512 · 21794 · 30768 · 32691 · 43588 · 61536 · 65382 · 87176 · 130764 · 174352 · 261528 · 348704 · 523056 (half) · 1046112
Aliquot sum (sum of proper divisors): 1,866,000
Factor pairs (a × b = 1,046,112)
1 × 1046112
2 × 523056
3 × 348704
4 × 261528
6 × 174352
8 × 130764
12 × 87176
16 × 65382
17 × 61536
24 × 43588
32 × 32691
34 × 30768
48 × 21794
51 × 20512
68 × 15384
96 × 10897
102 × 10256
136 × 7692
204 × 5128
272 × 3846
408 × 2564
544 × 1923
641 × 1632
816 × 1282
First multiples
1,046,112 · 2,092,224 (double) · 3,138,336 · 4,184,448 · 5,230,560 · 6,276,672 · 7,322,784 · 8,368,896 · 9,415,008 · 10,461,120

Sums & aliquot sequence

As consecutive integers: 348,703 + 348,704 + 348,705 61,528 + 61,529 + … + 61,544 20,487 + 20,488 + … + 20,537 16,314 + 16,315 + … + 16,377
Aliquot sequence: 1,046,112 1,866,000 4,169,328 6,601,560 16,899,240 33,798,840 69,051,720 138,103,800 304,836,600 654,387,720 1,686,844,920 3,392,461,320 6,951,787,320 13,903,575,000 — keeps growing

Continued fraction of √n

√1,046,112 = [1022; (1, 3, 1, 9, 1, 1, 1, 3, 23, 4, 5, 2, 4, 1, 1, 3, 10, 2, 2, 1, 63, 4, 1, 2, …)]

Representations

In words
one million forty-six thousand one hundred twelve
Ordinal
1046112th
Binary
11111111011001100000
Octal
3773140
Hexadecimal
0xFF660
Base64
D/Zg
One's complement
4,293,921,183 (32-bit)
Scientific notation
1.046112 × 10⁶
As a duration
1,046,112 s = 12 days, 2 hours, 35 minutes, 12 seconds
In other bases
ternary (3) 1222010222220
quaternary (4) 3333121200
quinary (5) 231433422
senary (6) 34231040
septenary (7) 11614614
nonary (9) 1863886
undecimal (11) 654a61
duodecimal (12) 425480
tridecimal (13) 2a8202
tetradecimal (14) 1d3344
pentadecimal (15) 159e5c

As an angle

1,046,112° = 2,905 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Chinese
一百零四萬六千一百一十二
Chinese (financial)
壹佰零肆萬陸仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٠٤٦١١٢ Devanagari १०४६११२ Bengali ১০৪৬১১২ Tamil ௧௦௪௬௧௧௨ Thai ๑๐๔๖๑๑๒ Tibetan ༡༠༤༦༡༡༢ Khmer ១០៤៦១១២ Lao ໑໐໔໖໑໑໒ Burmese ၁၀၄၆၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1046112, here are decompositions:

  • 31 + 1046081 = 1046112
  • 43 + 1046069 = 1046112
  • 59 + 1046053 = 1046112
  • 61 + 1046051 = 1046112
  • 83 + 1046029 = 1046112
  • 131 + 1045981 = 1046112
  • 149 + 1045963 = 1046112
  • 271 + 1045841 = 1046112

Showing the first eight; more decompositions exist.

Hex color
#0FF660
RGB(15, 246, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.246.96.

Address
0.15.246.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.246.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 6112 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6112-04-01 (DMMYYYY (Euro, single-digit day))
  • 6112-10-04 (MMDYYYY (US, single-digit day))
  • 6112-04-10 (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 1,046,112 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°.