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1,046,320

1,046,320 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.).

1,046,320 (one million forty-six thousand three hundred twenty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 11 × 29 × 41. Its proper divisors sum to 1,766,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFF730.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
236,401
Square (n²)
1,094,785,542,400
Cube (n³)
1,145,496,008,723,968,000
Divisor count
80
σ(n) — sum of divisors
2,812,320
φ(n) — Euler's totient
358,400
Sum of prime factors
94

Primality

Prime factorization: 2 4 × 5 × 11 × 29 × 41

Nearest primes: 1,046,263 (−57) · 1,046,329 (+9)

Divisors & multiples

All divisors (80)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 29 · 40 · 41 · 44 · 55 · 58 · 80 · 82 · 88 · 110 · 116 · 145 · 164 · 176 · 205 · 220 · 232 · 290 · 319 · 328 · 410 · 440 · 451 · 464 · 580 · 638 · 656 · 820 · 880 · 902 · 1160 · 1189 · 1276 · 1595 · 1640 · 1804 · 2255 · 2320 · 2378 · 2552 · 3190 · 3280 · 3608 · 4510 · 4756 · 5104 · 5945 · 6380 · 7216 · 9020 · 9512 · 11890 · 12760 · 13079 · 18040 · 19024 · 23780 · 25520 · 26158 · 36080 · 47560 · 52316 · 65395 · 95120 · 104632 · 130790 · 209264 · 261580 · 523160 (half) · 1046320
Aliquot sum (sum of proper divisors): 1,766,000
Factor pairs (a × b = 1,046,320)
1 × 1046320
2 × 523160
4 × 261580
5 × 209264
8 × 130790
10 × 104632
11 × 95120
16 × 65395
20 × 52316
22 × 47560
29 × 36080
40 × 26158
41 × 25520
44 × 23780
55 × 19024
58 × 18040
80 × 13079
82 × 12760
88 × 11890
110 × 9512
116 × 9020
145 × 7216
164 × 6380
176 × 5945
205 × 5104
220 × 4756
232 × 4510
290 × 3608
319 × 3280
328 × 3190
410 × 2552
440 × 2378
451 × 2320
464 × 2255
580 × 1804
638 × 1640
656 × 1595
820 × 1276
880 × 1189
902 × 1160
First multiples
1,046,320 · 2,092,640 (double) · 3,138,960 · 4,185,280 · 5,231,600 · 6,277,920 · 7,324,240 · 8,370,560 · 9,416,880 · 10,463,200

Sums & aliquot sequence

As consecutive integers: 209,262 + 209,263 + 209,264 + 209,265 + 209,266 95,115 + 95,116 + … + 95,125 36,066 + 36,067 + … + 36,094 32,682 + 32,683 + … + 32,713
Aliquot sequence: 1,046,320 1,766,000 2,509,024 3,393,824 4,367,776 6,663,776 8,577,184 12,838,784 18,556,816 17,464,316 13,098,244 10,903,804 8,258,724 12,617,586 16,328,814 16,368,738 16,483,998 — unresolved within range

Continued fraction of √n

√1,046,320 = [1022; (1, 8, 1, 3, 1, 2, 1, 4, 1, 13, 2, 1, 1, 1, 1, 1, 7, 2, 2, 10, 1, 24, 2, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one million forty-six thousand three hundred twenty
Ordinal
1046320th
Binary
11111111011100110000
Octal
3773460
Hexadecimal
0xFF730
Base64
D/cw
One's complement
4,293,920,975 (32-bit)
Scientific notation
1.04632 × 10⁶
As a duration
1,046,320 s = 12 days, 2 hours, 38 minutes, 40 seconds
In other bases
ternary (3) 1222011021121
quaternary (4) 3333130300
quinary (5) 231440240
senary (6) 34232024
septenary (7) 11615332
nonary (9) 1864247
undecimal (11) 655130
duodecimal (12) 425614
tridecimal (13) 2a8332
tetradecimal (14) 1d3452
pentadecimal (15) 15a04a

As an angle

1,046,320° = 2,906 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Chinese
一百零四萬六千三百二十
Chinese (financial)
壹佰零肆萬陸仟參佰貳拾
In other modern scripts
Eastern Arabic ١٠٤٦٣٢٠ Devanagari १०४६३२० Bengali ১০৪৬৩২০ Tamil ௧௦௪௬௩௨௦ Thai ๑๐๔๖๓๒๐ Tibetan ༡༠༤༦༣༢༠ Khmer ១០៤៦៣២០ Lao ໑໐໔໖໓໒໐ Burmese ၁၀၄၆၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1046320, here are decompositions:

  • 83 + 1046237 = 1046320
  • 113 + 1046207 = 1046320
  • 131 + 1046189 = 1046320
  • 137 + 1046183 = 1046320
  • 239 + 1046081 = 1046320
  • 251 + 1046069 = 1046320
  • 269 + 1046051 = 1046320
  • 461 + 1045859 = 1046320

Showing the first eight; more decompositions exist.

Hex color
#0FF730
RGB(15, 247, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.247.48.

Address
0.15.247.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.247.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 6320 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6320-04-01 (DMMYYYY (Euro, single-digit day))
  • 6320-10-04 (MMDYYYY (US, single-digit day))
  • 6320-04-10 (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 1,046,320 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 1046320 first appears in π at position 984,860 of the decimal expansion (the 984,860ordinal-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°.