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1,046,304

1,046,304 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.).

1,046,304 (one million forty-six thousand three hundred four) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3³ × 7 × 173. Its proper divisors sum to 2,461,536, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFF720.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
4,036,401
Square (n²)
1,094,752,060,416
Cube (n³)
1,145,443,459,821,502,464
Divisor count
96
σ(n) — sum of divisors
3,507,840
φ(n) — Euler's totient
297,216
Sum of prime factors
199

Primality

Prime factorization: 2 5 × 3 3 × 7 × 173

Nearest primes: 1,046,263 (−41) · 1,046,329 (+25)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 27 · 28 · 32 · 36 · 42 · 48 · 54 · 56 · 63 · 72 · 84 · 96 · 108 · 112 · 126 · 144 · 168 · 173 · 189 · 216 · 224 · 252 · 288 · 336 · 346 · 378 · 432 · 504 · 519 · 672 · 692 · 756 · 864 · 1008 · 1038 · 1211 · 1384 · 1512 · 1557 · 2016 · 2076 · 2422 · 2768 · 3024 · 3114 · 3633 · 4152 · 4671 · 4844 · 5536 · 6048 · 6228 · 7266 · 8304 · 9342 · 9688 · 10899 · 12456 · 14532 · 16608 · 18684 · 19376 · 21798 · 24912 · 29064 · 32697 · 37368 · 38752 · 43596 · 49824 · 58128 · 65394 · 74736 · 87192 · 116256 · 130788 · 149472 · 174384 · 261576 · 348768 · 523152 (half) · 1046304
Aliquot sum (sum of proper divisors): 2,461,536
Factor pairs (a × b = 1,046,304)
1 × 1046304
2 × 523152
3 × 348768
4 × 261576
6 × 174384
7 × 149472
8 × 130788
9 × 116256
12 × 87192
14 × 74736
16 × 65394
18 × 58128
21 × 49824
24 × 43596
27 × 38752
28 × 37368
32 × 32697
36 × 29064
42 × 24912
48 × 21798
54 × 19376
56 × 18684
63 × 16608
72 × 14532
84 × 12456
96 × 10899
108 × 9688
112 × 9342
126 × 8304
144 × 7266
168 × 6228
173 × 6048
189 × 5536
216 × 4844
224 × 4671
252 × 4152
288 × 3633
336 × 3114
346 × 3024
378 × 2768
432 × 2422
504 × 2076
519 × 2016
672 × 1557
692 × 1512
756 × 1384
864 × 1211
1008 × 1038
First multiples
1,046,304 · 2,092,608 (double) · 3,138,912 · 4,185,216 · 5,231,520 · 6,277,824 · 7,324,128 · 8,370,432 · 9,416,736 · 10,463,040

Sums & aliquot sequence

As consecutive integers: 348,767 + 348,768 + 348,769 149,469 + 149,470 + … + 149,475 116,252 + 116,253 + … + 116,260 49,814 + 49,815 + … + 49,834
Aliquot sequence: 1,046,304 2,461,536 6,731,424 16,732,170 38,885,238 59,871,882 76,978,230 136,395,210 237,717,942 356,714,058 356,714,070 499,399,770 737,825,190 1,071,696,666 1,096,528,614 1,096,858,506 1,104,781,398 — unresolved within range

Continued fraction of √n

√1,046,304 = [1022; (1, 8, 10, 1, 3, 2, 1, 3, 2, 1, 3, 1, 4, 20, 4, 56, 1, 1, 2, 1, 1, 1, 1, 2, …)]

Representations

In words
one million forty-six thousand three hundred four
Ordinal
1046304th
Binary
11111111011100100000
Octal
3773440
Hexadecimal
0xFF720
Base64
D/cg
One's complement
4,293,920,991 (32-bit)
Scientific notation
1.046304 × 10⁶
As a duration
1,046,304 s = 12 days, 2 hours, 38 minutes, 24 seconds
In other bases
ternary (3) 1222011021000
quaternary (4) 3333130200
quinary (5) 231440204
senary (6) 34232000
septenary (7) 11615310
nonary (9) 1864230
undecimal (11) 655116
duodecimal (12) 425600
tridecimal (13) 2a831c
tetradecimal (14) 1d3440
pentadecimal (15) 15a039

As an angle

1,046,304° = 2,906 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese
一百零四萬六千三百零四
Chinese (financial)
壹佰零肆萬陸仟參佰零肆
In other modern scripts
Eastern Arabic ١٠٤٦٣٠٤ Devanagari १०४६३०४ Bengali ১০৪৬৩০৪ Tamil ௧௦௪௬௩௦௪ Thai ๑๐๔๖๓๐๔ Tibetan ༡༠༤༦༣༠༤ Khmer ១០៤៦៣០៤ Lao ໑໐໔໖໓໐໔ Burmese ၁၀၄၆၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1046304, here are decompositions:

  • 41 + 1046263 = 1046304
  • 47 + 1046257 = 1046304
  • 67 + 1046237 = 1046304
  • 97 + 1046207 = 1046304
  • 101 + 1046203 = 1046304
  • 113 + 1046191 = 1046304
  • 191 + 1046113 = 1046304
  • 223 + 1046081 = 1046304

Showing the first eight; more decompositions exist.

Hex color
#0FF720
RGB(15, 247, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.247.32.

Address
0.15.247.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.247.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 6304 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6304-04-01 (DMMYYYY (Euro, single-digit day))
  • 6304-10-04 (MMDYYYY (US, single-digit day))
  • 6304-04-10 (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 1,046,304 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°.