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180,242

180,242 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.).

180,242 (one hundred eighty thousand two hundred forty-two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 90,121. Written other ways, in hexadecimal, 0x2C012.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
242,081
Recamán's sequence
a(465,243) = 180,242
Square (n²)
32,487,178,564
Cube (n³)
5,855,554,038,732,488
Divisor count
4
σ(n) — sum of divisors
270,366
φ(n) — Euler's totient
90,120
Sum of prime factors
90,123

Primality

Prime factorization: 2 × 90121

Nearest primes: 180,241 (−1) · 180,247 (+5)

Divisors & multiples

All divisors (4)
1 · 2 · 90121 (half) · 180242
Aliquot sum (sum of proper divisors): 90,124
Factor pairs (a × b = 180,242)
1 × 180242
2 × 90121
First multiples
180,242 · 360,484 (double) · 540,726 · 720,968 · 901,210 · 1,081,452 · 1,261,694 · 1,441,936 · 1,622,178 · 1,802,420

Sums & aliquot sequence

As a sum of two squares: 289² + 311²
As consecutive integers: 45,059 + 45,060 + 45,061 + 45,062
Aliquot sequence: 180,242 90,124 67,600 108,263 1 0 — terminates at zero

Continued fraction of √n

√180,242 = [424; (1, 1, 4, 1, 1, 2, 2, 8, 2, 1, 49, 3, 1, 2, 1, 4, 27, 5, 1, 1, 2, 2, 1, 1, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words
one hundred eighty thousand two hundred forty-two
Ordinal
180242nd
Binary
101100000000010010
Octal
540022
Hexadecimal
0x2C012
Base64
AsAS
One's complement
4,294,787,053 (32-bit)
Scientific notation
1.80242 × 10⁵
As a duration
180,242 s = 2 days, 2 hours, 4 minutes, 2 seconds
In other bases
ternary (3) 100011020122
quaternary (4) 230000102
quinary (5) 21231432
senary (6) 3510242
septenary (7) 1350326
nonary (9) 304218
undecimal (11) 113467
duodecimal (12) 88382
tridecimal (13) 6406a
tetradecimal (14) 49986
pentadecimal (15) 38612

As an angle

180,242° = 500 × 360° + 242°
242° ≈ 4.224 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρπσμβʹ
Chinese
一十八萬零二百四十二
Chinese (financial)
壹拾捌萬零貳佰肆拾貳
In other modern scripts
Eastern Arabic ١٨٠٢٤٢ Devanagari १८०२४२ Bengali ১৮০২৪২ Tamil ௧௮௦௨௪௨ Thai ๑๘๐๒๔๒ Tibetan ༡༨༠༢༤༢ Khmer ១៨០២៤២ Lao ໑໘໐໒໔໒ Burmese ၁၈၀၂၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180242, here are decompositions:

  • 3 + 180239 = 180242
  • 31 + 180211 = 180242
  • 61 + 180181 = 180242
  • 199 + 180043 = 180242
  • 241 + 180001 = 180242
  • 409 + 179833 = 180242
  • 421 + 179821 = 180242
  • 463 + 179779 = 180242

Showing the first eight; more decompositions exist.

Unicode codepoint
𬀒
CJK Unified Ideograph-2C012
U+2C012
Other letter (Lo)

UTF-8 encoding: F0 AC 80 92 (4 bytes).

Hex color
#02C012
RGB(2, 192, 18)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.192.18.

Address
0.2.192.18
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.192.18

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 180,242 and was likely granted around 1875.

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

Position in π

The digit sequence 180242 first appears in π at position 19,946 of the decimal expansion (the 19,946ordinal-suffix:th 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°.