number.wiki
Live analysis

1,006,278

1,006,278 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.).

1,006,278 (one million six thousand two hundred seventy-eight) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 7 × 13 × 19 × 97. Its proper divisors sum to 1,627,962, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5AC6.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
8,726,001
Square (n²)
1,012,595,413,284
Cube (n³)
1,018,952,487,288,596,952
Divisor count
64
σ(n) — sum of divisors
2,634,240
φ(n) — Euler's totient
248,832
Sum of prime factors
141

Primality

Prime factorization: 2 × 3 × 7 × 13 × 19 × 97

Nearest primes: 1,006,267 (−11) · 1,006,279 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 6 · 7 · 13 · 14 · 19 · 21 · 26 · 38 · 39 · 42 · 57 · 78 · 91 · 97 · 114 · 133 · 182 · 194 · 247 · 266 · 273 · 291 · 399 · 494 · 546 · 582 · 679 · 741 · 798 · 1261 · 1358 · 1482 · 1729 · 1843 · 2037 · 2522 · 3458 · 3686 · 3783 · 4074 · 5187 · 5529 · 7566 · 8827 · 10374 · 11058 · 12901 · 17654 · 23959 · 25802 · 26481 · 38703 · 47918 · 52962 · 71877 · 77406 · 143754 · 167713 · 335426 · 503139 (half) · 1006278
Aliquot sum (sum of proper divisors): 1,627,962
Factor pairs (a × b = 1,006,278)
1 × 1006278
2 × 503139
3 × 335426
6 × 167713
7 × 143754
13 × 77406
14 × 71877
19 × 52962
21 × 47918
26 × 38703
38 × 26481
39 × 25802
42 × 23959
57 × 17654
78 × 12901
91 × 11058
97 × 10374
114 × 8827
133 × 7566
182 × 5529
194 × 5187
247 × 4074
266 × 3783
273 × 3686
291 × 3458
399 × 2522
494 × 2037
546 × 1843
582 × 1729
679 × 1482
741 × 1358
798 × 1261
First multiples
1,006,278 · 2,012,556 (double) · 3,018,834 · 4,025,112 · 5,031,390 · 6,037,668 · 7,043,946 · 8,050,224 · 9,056,502 · 10,062,780

Sums & aliquot sequence

As consecutive integers: 335,425 + 335,426 + 335,427 251,568 + 251,569 + 251,570 + 251,571 143,751 + 143,752 + … + 143,757 83,851 + 83,852 + … + 83,862
Aliquot sequence: 1,006,278 1,627,962 2,145,990 4,282,170 6,217,158 6,685,242 6,685,254 8,822,106 10,292,496 17,158,128 32,172,048 60,782,320 85,101,200 125,980,528 125,981,520 353,987,760 965,070,672 — unresolved within range

Continued fraction of √n

√1,006,278 = [1003; (7, 2, 5, 2, 2, 1, 1, 46, 13, 1, 2, 1, 1, 2, 1, 15, 1, 6, 5, 1, 2, 1, 5, 6, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one million six thousand two hundred seventy-eight
Ordinal
1006278th
Binary
11110101101011000110
Octal
3655306
Hexadecimal
0xF5AC6
Base64
D1rG
One's complement
4,293,961,017 (32-bit)
Scientific notation
1.006278 × 10⁶
As a duration
1,006,278 s = 11 days, 15 hours, 31 minutes, 18 seconds
In other bases
ternary (3) 1220010100120
quaternary (4) 3311223012
quinary (5) 224200103
senary (6) 33322410
septenary (7) 11360520
nonary (9) 1803316
undecimal (11) 628039
duodecimal (12) 406406
tridecimal (13) 293040
tetradecimal (14) 1c2a10
pentadecimal (15) 14d253

As an angle

1,006,278° = 2,795 × 360° + 78°
78° ≈ 1.361 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬六千二百七十八
Chinese (financial)
壹佰萬陸仟貳佰柒拾捌
In other modern scripts
Eastern Arabic ١٠٠٦٢٧٨ Devanagari १००६२७८ Bengali ১০০৬২৭৮ Tamil ௧௦௦௬௨௭௮ Thai ๑๐๐๖๒๗๘ Tibetan ༡༠༠༦༢༧༨ Khmer ១០០៦២៧៨ Lao ໑໐໐໖໒໗໘ Burmese ၁၀၀၆၂၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006278, here are decompositions:

  • 11 + 1006267 = 1006278
  • 29 + 1006249 = 1006278
  • 37 + 1006241 = 1006278
  • 41 + 1006237 = 1006278
  • 47 + 1006231 = 1006278
  • 59 + 1006219 = 1006278
  • 61 + 1006217 = 1006278
  • 89 + 1006189 = 1006278

Showing the first eight; more decompositions exist.

Hex color
#0F5AC6
RGB(15, 90, 198)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.198.

Address
0.15.90.198
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.90.198

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 1,006,278 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°.