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1,046,688

1,046,688 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.).

1,046,688 (one million forty-six thousand six hundred eighty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 10,903. Its proper divisors sum to 1,701,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFF8A0.

Abundant Number Arithmetic Number Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
33
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
8,866,401
Square (n²)
1,095,555,769,344
Cube (n³)
1,146,705,077,103,132,672
Divisor count
24
σ(n) — sum of divisors
2,747,808
φ(n) — Euler's totient
348,864
Sum of prime factors
10,916

Primality

Prime factorization: 2 5 × 3 × 10903

Nearest primes: 1,046,687 (−1) · 1,046,701 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 10903 · 21806 · 32709 · 43612 · 65418 · 87224 · 130836 · 174448 · 261672 · 348896 · 523344 (half) · 1046688
Aliquot sum (sum of proper divisors): 1,701,120
Factor pairs (a × b = 1,046,688)
1 × 1046688
2 × 523344
3 × 348896
4 × 261672
6 × 174448
8 × 130836
12 × 87224
16 × 65418
24 × 43612
32 × 32709
48 × 21806
96 × 10903
First multiples
1,046,688 · 2,093,376 (double) · 3,140,064 · 4,186,752 · 5,233,440 · 6,280,128 · 7,326,816 · 8,373,504 · 9,420,192 · 10,466,880

Sums & aliquot sequence

As consecutive integers: 348,895 + 348,896 + 348,897 16,323 + 16,324 + … + 16,386 5,356 + 5,357 + … + 5,547
Aliquot sequence: 1,046,688 1,701,120 3,744,096 6,323,808 11,154,912 18,383,520 39,526,080 105,314,880 259,494,144 619,589,376 1,474,071,648 3,095,958,432 6,511,942,752 14,679,088,032 — keeps growing

Continued fraction of √n

√1,046,688 = [1023; (12, 1, 6, 1, 1, 2, 88, 1, 1, 3, 6, 1, 11, 2, 1, 1, 3, 3, 1, 1, 2, 3, 1, 1, …)]

Representations

In words
one million forty-six thousand six hundred eighty-eight
Ordinal
1046688th
Binary
11111111100010100000
Octal
3774240
Hexadecimal
0xFF8A0
Base64
D/ig
One's complement
4,293,920,607 (32-bit)
Scientific notation
1.046688 × 10⁶
As a duration
1,046,688 s = 12 days, 2 hours, 44 minutes, 48 seconds
In other bases
ternary (3) 1222011210020
quaternary (4) 3333202200
quinary (5) 231443223
senary (6) 34233440
septenary (7) 11616366
nonary (9) 1864706
undecimal (11) 655435
duodecimal (12) 425880
tridecimal (13) 2a8556
tetradecimal (14) 1d3636
pentadecimal (15) 15a1e3

As an angle

1,046,688° = 2,907 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬六千六百八十八
Chinese (financial)
壹佰零肆萬陸仟陸佰捌拾捌
In other modern scripts
Eastern Arabic ١٠٤٦٦٨٨ Devanagari १०४६६८८ Bengali ১০৪৬৬৮৮ Tamil ௧௦௪௬௬௮௮ Thai ๑๐๔๖๖๘๘ Tibetan ༡༠༤༦༦༨༨ Khmer ១០៤៦៦៨៨ Lao ໑໐໔໖໖໘໘ Burmese ၁၀၄၆၆၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1046688, here are decompositions:

  • 7 + 1046681 = 1046688
  • 11 + 1046677 = 1046688
  • 29 + 1046659 = 1046688
  • 31 + 1046657 = 1046688
  • 47 + 1046641 = 1046688
  • 61 + 1046627 = 1046688
  • 89 + 1046599 = 1046688
  • 101 + 1046587 = 1046688

Showing the first eight; more decompositions exist.

Hex color
#0FF8A0
RGB(15, 248, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.248.160.

Address
0.15.248.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.248.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 6688 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6688-04-01 (DMMYYYY (Euro, single-digit day))
  • 6688-10-04 (MMDYYYY (US, single-digit day))
  • 6688-04-10 (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 1,046,688 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°.