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180,241

180,241 is a prime, odd.

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.).

180,241 (one hundred eighty thousand two hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2C011.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
142,081
Recamán's sequence
a(465,245) = 180,241
Square (n²)
32,486,818,081
Cube (n³)
5,855,456,577,737,521
Divisor count
2
σ(n) — sum of divisors
180,242
φ(n) — Euler's totient
180,240

Primality

180,241 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 180241
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 180,241)
1 × 180241
First multiples
180,241 · 360,482 (double) · 540,723 · 720,964 · 901,205 · 1,081,446 · 1,261,687 · 1,441,928 · 1,622,169 · 1,802,410

Sums & aliquot sequence

As a sum of two squares: 279² + 320²
As consecutive integers: 90,120 + 90,121

Continued fraction of √n

√180,241 = [424; (1, 1, 4, 1, 2, 2, 3, 2, 1, 6, 2, 1, 1, 1, 2, 1, 3, 1, 10, 1, 5, 2, 1, 2, …)]

Representations

In words
one hundred eighty thousand two hundred forty-one
Ordinal
180241st
Binary
101100000000010001
Octal
540021
Hexadecimal
0x2C011
Base64
AsAR
One's complement
4,294,787,054 (32-bit)
Scientific notation
1.80241 × 10⁵
As a duration
180,241 s = 2 days, 2 hours, 4 minutes, 1 second
In other bases
ternary (3) 100011020121
quaternary (4) 230000101
quinary (5) 21231431
senary (6) 3510241
septenary (7) 1350325
nonary (9) 304217
undecimal (11) 113466
duodecimal (12) 88381
tridecimal (13) 64069
tetradecimal (14) 49985
pentadecimal (15) 38611

As an angle

180,241° = 500 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρπσμαʹ
Chinese
一十八萬零二百四十一
Chinese (financial)
壹拾捌萬零貳佰肆拾壹
In other modern scripts
Eastern Arabic ١٨٠٢٤١ Devanagari १८०२४१ Bengali ১৮০২৪১ Tamil ௧௮௦௨௪௧ Thai ๑๘๐๒๔๑ Tibetan ༡༨༠༢༤༡ Khmer ១៨០២៤១ Lao ໑໘໐໒໔໑ Burmese ၁၈၀၂၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 180239, sexy with 180247.

Unicode codepoint
𬀑
CJK Unified Ideograph-2C011
U+2C011
Other letter (Lo)

UTF-8 encoding: F0 AC 80 91 (4 bytes).

Hex color
#02C011
RGB(2, 192, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.192.17.

Address
0.2.192.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.192.17

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 180,241 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 180241 first appears in π at position 673,790 of the decimal expansion (the 673,790ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.