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1,006,542

1,006,542 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.).

1,006,542 (one million six thousand five hundred forty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 199 × 281. Its proper divisors sum to 1,193,058, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5BCE.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
2,456,001
Square (n²)
1,013,126,797,764
Cube (n³)
1,019,754,673,274,972,088
Divisor count
24
σ(n) — sum of divisors
2,199,600
φ(n) — Euler's totient
332,640
Sum of prime factors
488

Primality

Prime factorization: 2 × 3 2 × 199 × 281

Nearest primes: 1,006,531 (−11) · 1,006,543 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 199 · 281 · 398 · 562 · 597 · 843 · 1194 · 1686 · 1791 · 2529 · 3582 · 5058 · 55919 · 111838 · 167757 · 335514 · 503271 (half) · 1006542
Aliquot sum (sum of proper divisors): 1,193,058
Factor pairs (a × b = 1,006,542)
1 × 1006542
2 × 503271
3 × 335514
6 × 167757
9 × 111838
18 × 55919
199 × 5058
281 × 3582
398 × 2529
562 × 1791
597 × 1686
843 × 1194
First multiples
1,006,542 · 2,013,084 (double) · 3,019,626 · 4,026,168 · 5,032,710 · 6,039,252 · 7,045,794 · 8,052,336 · 9,058,878 · 10,065,420

Sums & aliquot sequence

As consecutive integers: 335,513 + 335,514 + 335,515 251,634 + 251,635 + 251,636 + 251,637 111,834 + 111,835 + … + 111,842 83,873 + 83,874 + … + 83,884
Aliquot sequence: 1,006,542 1,193,058 1,427,742 1,665,738 2,083,062 2,083,074 2,678,334 2,678,346 3,932,118 4,806,042 4,806,054 7,773,786 9,592,614 11,827,386 15,148,134 19,446,426 24,113,574 — unresolved within range

Continued fraction of √n

√1,006,542 = [1003; (3, 1, 3, 4, 5, 2, 13, 1, 1, 2, 1, 4, 1, 1, 2, 1, 2, 6, 2, 1, 1, 2, 1, 3, …)]

Representations

In words
one million six thousand five hundred forty-two
Ordinal
1006542nd
Binary
11110101101111001110
Octal
3655716
Hexadecimal
0xF5BCE
Base64
D1vO
One's complement
4,293,960,753 (32-bit)
Scientific notation
1.006542 × 10⁶
As a duration
1,006,542 s = 11 days, 15 hours, 35 minutes, 42 seconds
In other bases
ternary (3) 1220010201100
quaternary (4) 3311233032
quinary (5) 224202132
senary (6) 33323530
septenary (7) 11361345
nonary (9) 1803640
undecimal (11) 628259
duodecimal (12) 4065a6
tridecimal (13) 2931b4
tetradecimal (14) 1c2b5c
pentadecimal (15) 14d37c

As an angle

1,006,542° = 2,795 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬六千五百四十二
Chinese (financial)
壹佰萬陸仟伍佰肆拾貳
In other modern scripts
Eastern Arabic ١٠٠٦٥٤٢ Devanagari १००६५४२ Bengali ১০০৬৫৪২ Tamil ௧௦௦௬௫௪௨ Thai ๑๐๐๖๕๔๒ Tibetan ༡༠༠༦༥༤༢ Khmer ១០០៦៥៤២ Lao ໑໐໐໖໕໔໒ Burmese ၁၀၀၆၅၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006542, here are decompositions:

  • 11 + 1006531 = 1006542
  • 29 + 1006513 = 1006542
  • 71 + 1006471 = 1006542
  • 73 + 1006469 = 1006542
  • 79 + 1006463 = 1006542
  • 101 + 1006441 = 1006542
  • 109 + 1006433 = 1006542
  • 149 + 1006393 = 1006542

Showing the first eight; more decompositions exist.

Hex color
#0F5BCE
RGB(15, 91, 206)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.206.

Address
0.15.91.206
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.91.206

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 1,006,542 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°.