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506,442

506,442 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.).

506,442 (five hundred six thousand four hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 84,407. Its proper divisors sum to 506,454, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7BA4A.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
244,605
Square (n²)
256,483,499,364
Cube (n³)
129,894,016,384,902,888
Divisor count
8
σ(n) — sum of divisors
1,012,896
φ(n) — Euler's totient
168,812
Sum of prime factors
84,412

Primality

Prime factorization: 2 × 3 × 84407

Nearest primes: 506,423 (−19) · 506,449 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 84407 · 168814 · 253221 (half) · 506442
Aliquot sum (sum of proper divisors): 506,454
Factor pairs (a × b = 506,442)
1 × 506442
2 × 253221
3 × 168814
6 × 84407
First multiples
506,442 · 1,012,884 (double) · 1,519,326 · 2,025,768 · 2,532,210 · 3,038,652 · 3,545,094 · 4,051,536 · 4,557,978 · 5,064,420

Sums & aliquot sequence

As consecutive integers: 168,813 + 168,814 + 168,815 126,609 + 126,610 + 126,611 + 126,612 42,198 + 42,199 + … + 42,209
Aliquot sequence: 506,442 506,454 617,130 987,642 1,152,288 2,125,350 3,585,966 4,047,474 4,128,846 4,575,954 4,575,966 4,713,378 4,801,182 5,389,698 5,389,710 7,545,666 7,545,678 — unresolved within range

Continued fraction of √n

√506,442 = [711; (1, 1, 1, 5, 10, 2, 4, 17, 1, 3, 1, 4, 1, 11, 4, 3, 1, 2, 1, 2, 1, 1, 15, 1, …)]

Representations

In words
five hundred six thousand four hundred forty-two
Ordinal
506442nd
Binary
1111011101001001010
Octal
1735112
Hexadecimal
0x7BA4A
Base64
B7pK
One's complement
4,294,460,853 (32-bit)
Scientific notation
5.06442 × 10⁵
As a duration
506,442 s = 5 days, 20 hours, 40 minutes, 42 seconds
In other bases
ternary (3) 221201201010
quaternary (4) 1323221022
quinary (5) 112201232
senary (6) 14504350
septenary (7) 4206336
nonary (9) 851633
undecimal (11) 316552
duodecimal (12) 2050b6
tridecimal (13) 149691
tetradecimal (14) d27c6
pentadecimal (15) a00cc

As an angle

506,442° = 1,406 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φϛυμβʹ
Chinese
五十萬六千四百四十二
Chinese (financial)
伍拾萬陸仟肆佰肆拾貳
In other modern scripts
Eastern Arabic ٥٠٦٤٤٢ Devanagari ५०६४४२ Bengali ৫০৬৪৪২ Tamil ௫௦௬௪௪௨ Thai ๕๐๖๔๔๒ Tibetan ༥༠༦༤༤༢ Khmer ៥០៦៤៤២ Lao ໕໐໖໔໔໒ Burmese ၅၀၆၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 506442, here are decompositions:

  • 19 + 506423 = 506442
  • 61 + 506381 = 506442
  • 103 + 506339 = 506442
  • 109 + 506333 = 506442
  • 113 + 506329 = 506442
  • 151 + 506291 = 506442
  • 173 + 506269 = 506442
  • 179 + 506263 = 506442

Showing the first eight; more decompositions exist.

Hex color
#07BA4A
RGB(7, 186, 74)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.186.74.

Address
0.7.186.74
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.186.74

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 506,442 and was likely granted around 1893.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 506442 first appears in π at position 463,142 of the decimal expansion (the 463,142ordinal-suffix:nd 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°.