number.wiki
Live analysis

542,742

542,742 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.).

542,742 (five hundred forty-two thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3 × 17² × 313. Its proper divisors sum to 614,034, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x84816.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
2,240
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
247,245
Square (n²)
294,568,878,564
Cube (n³)
159,874,902,289,582,488
Divisor count
24
σ(n) — sum of divisors
1,156,776
φ(n) — Euler's totient
169,728
Sum of prime factors
352

Primality

Prime factorization: 2 × 3 × 17 2 × 313

Nearest primes: 542,723 (−19) · 542,747 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 17 · 34 · 51 · 102 · 289 · 313 · 578 · 626 · 867 · 939 · 1734 · 1878 · 5321 · 10642 · 15963 · 31926 · 90457 · 180914 · 271371 (half) · 542742
Aliquot sum (sum of proper divisors): 614,034
Factor pairs (a × b = 542,742)
1 × 542742
2 × 271371
3 × 180914
6 × 90457
17 × 31926
34 × 15963
51 × 10642
102 × 5321
289 × 1878
313 × 1734
578 × 939
626 × 867
First multiples
542,742 · 1,085,484 (double) · 1,628,226 · 2,170,968 · 2,713,710 · 3,256,452 · 3,799,194 · 4,341,936 · 4,884,678 · 5,427,420

Sums & aliquot sequence

As consecutive integers: 180,913 + 180,914 + 180,915 135,684 + 135,685 + 135,686 + 135,687 45,223 + 45,224 + … + 45,234 31,918 + 31,919 + … + 31,934
Aliquot sequence: 542,742 614,034 777,006 949,794 959,646 1,072,482 1,130,910 1,979,490 2,771,358 2,798,322 2,882,670 5,538,738 5,538,750 10,356,162 11,574,750 21,851,682 23,325,150 — unresolved within range

Continued fraction of √n

√542,742 = [736; (1, 2, 2, 4, 1, 1, 1, 2, 1, 4, 2, 1, 2, 6, 2, 2, 1, 1, 4, 1, 1, 4, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
five hundred forty-two thousand seven hundred forty-two
Ordinal
542742nd
Binary
10000100100000010110
Octal
2044026
Hexadecimal
0x84816
Base64
CEgW
One's complement
4,294,424,553 (32-bit)
Scientific notation
5.42742 × 10⁵
As a duration
542,742 s = 6 days, 6 hours, 45 minutes, 42 seconds
In other bases
ternary (3) 1000120111120
quaternary (4) 2010200112
quinary (5) 114331432
senary (6) 15344410
septenary (7) 4420224
nonary (9) 1016446
undecimal (11) 340852
duodecimal (12) 222106
tridecimal (13) 160065
tetradecimal (14) 101b14
pentadecimal (15) aac2c

As an angle

542,742° = 1,507 × 360° + 222°
222° ≈ 3.875 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φμβψμβʹ
Chinese
五十四萬二千七百四十二
Chinese (financial)
伍拾肆萬貳仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ٥٤٢٧٤٢ Devanagari ५४२७४२ Bengali ৫৪২৭৪২ Tamil ௫௪௨௭௪௨ Thai ๕๔๒๗๔๒ Tibetan ༥༤༢༧༤༢ Khmer ៥៤២៧៤២ Lao ໕໔໒໗໔໒ Burmese ၅၄၂၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 542742, here are decompositions:

  • 19 + 542723 = 542742
  • 23 + 542719 = 542742
  • 29 + 542713 = 542742
  • 59 + 542683 = 542742
  • 139 + 542603 = 542742
  • 163 + 542579 = 542742
  • 191 + 542551 = 542742
  • 223 + 542519 = 542742

Showing the first eight; more decompositions exist.

Hex color
#084816
RGB(8, 72, 22)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.72.22.

Address
0.8.72.22
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.72.22

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 542,742 and was likely granted around 1895.

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°.