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1,006,632

1,006,632 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.).

1,006,632 (one million six thousand six hundred thirty-two) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 11 × 31 × 41. Its proper divisors sum to 2,138,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5C28.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical 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
2,366,001
Square (n²)
1,013,307,983,424
Cube (n³)
1,020,028,241,970,067,968
Divisor count
96
σ(n) — sum of divisors
3,144,960
φ(n) — Euler's totient
288,000
Sum of prime factors
95

Primality

Prime factorization: 2 3 × 3 2 × 11 × 31 × 41

Nearest primes: 1,006,613 (−19) · 1,006,633 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 18 · 22 · 24 · 31 · 33 · 36 · 41 · 44 · 62 · 66 · 72 · 82 · 88 · 93 · 99 · 123 · 124 · 132 · 164 · 186 · 198 · 246 · 248 · 264 · 279 · 328 · 341 · 369 · 372 · 396 · 451 · 492 · 558 · 682 · 738 · 744 · 792 · 902 · 984 · 1023 · 1116 · 1271 · 1353 · 1364 · 1476 · 1804 · 2046 · 2232 · 2542 · 2706 · 2728 · 2952 · 3069 · 3608 · 3813 · 4059 · 4092 · 5084 · 5412 · 6138 · 7626 · 8118 · 8184 · 10168 · 10824 · 11439 · 12276 · 13981 · 15252 · 16236 · 22878 · 24552 · 27962 · 30504 · 32472 · 41943 · 45756 · 55924 · 83886 · 91512 · 111848 · 125829 · 167772 · 251658 · 335544 · 503316 (half) · 1006632
Aliquot sum (sum of proper divisors): 2,138,328
Factor pairs (a × b = 1,006,632)
1 × 1006632
2 × 503316
3 × 335544
4 × 251658
6 × 167772
8 × 125829
9 × 111848
11 × 91512
12 × 83886
18 × 55924
22 × 45756
24 × 41943
31 × 32472
33 × 30504
36 × 27962
41 × 24552
44 × 22878
62 × 16236
66 × 15252
72 × 13981
82 × 12276
88 × 11439
93 × 10824
99 × 10168
123 × 8184
124 × 8118
132 × 7626
164 × 6138
186 × 5412
198 × 5084
246 × 4092
248 × 4059
264 × 3813
279 × 3608
328 × 3069
341 × 2952
369 × 2728
372 × 2706
396 × 2542
451 × 2232
492 × 2046
558 × 1804
682 × 1476
738 × 1364
744 × 1353
792 × 1271
902 × 1116
984 × 1023
First multiples
1,006,632 · 2,013,264 (double) · 3,019,896 · 4,026,528 · 5,033,160 · 6,039,792 · 7,046,424 · 8,053,056 · 9,059,688 · 10,066,320

Sums & aliquot sequence

As consecutive integers: 335,543 + 335,544 + 335,545 111,844 + 111,845 + … + 111,852 91,507 + 91,508 + … + 91,517 62,907 + 62,908 + … + 62,922
Aliquot sequence: 1,006,632 2,138,328 3,997,152 7,370,568 13,103,832 24,336,168 36,504,312 66,069,768 100,127,832 198,401,448 368,460,312 797,939,688 1,657,266,072 3,543,322,728 6,120,285,432 9,192,375,768 13,965,819,432 — keeps growing

Continued fraction of √n

√1,006,632 = [1003; (3, 4, 1, 1, 6, 4, 2, 1, 1, 15, 1, 1, 2, 4, 6, 1, 1, 4, 3, 2006)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million six thousand six hundred thirty-two
Ordinal
1006632nd
Binary
11110101110000101000
Octal
3656050
Hexadecimal
0xF5C28
Base64
D1wo
One's complement
4,293,960,663 (32-bit)
Scientific notation
1.006632 × 10⁶
As a duration
1,006,632 s = 11 days, 15 hours, 37 minutes, 12 seconds
In other bases
ternary (3) 1220010211200
quaternary (4) 3311300220
quinary (5) 224203012
senary (6) 33324200
septenary (7) 11361534
nonary (9) 1803750
undecimal (11) 628330
duodecimal (12) 406660
tridecimal (13) 293253
tetradecimal (14) 1c2bc4
pentadecimal (15) 14d3dc

As an angle

1,006,632° = 2,796 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬六千六百三十二
Chinese (financial)
壹佰萬陸仟陸佰參拾貳
In other modern scripts
Eastern Arabic ١٠٠٦٦٣٢ Devanagari १००६६३२ Bengali ১০০৬৬৩২ Tamil ௧௦௦௬௬௩௨ Thai ๑๐๐๖๖๓๒ Tibetan ༡༠༠༦༦༣༢ Khmer ១០០៦៦៣២ Lao ໑໐໐໖໖໓໒ Burmese ၁၀၀၆၆၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006632, here are decompositions:

  • 19 + 1006613 = 1006632
  • 23 + 1006609 = 1006632
  • 43 + 1006589 = 1006632
  • 73 + 1006559 = 1006632
  • 89 + 1006543 = 1006632
  • 101 + 1006531 = 1006632
  • 139 + 1006493 = 1006632
  • 163 + 1006469 = 1006632

Showing the first eight; more decompositions exist.

Hex color
#0F5C28
RGB(15, 92, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.92.40.

Address
0.15.92.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.92.40

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

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 1,006,632 and was likely granted around 1911.

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°.