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180,181

180,181 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.).

180,181 (one hundred eighty thousand one hundred eighty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2BFD5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
181,081
Flips to (rotate 180°)
181,081
Recamán's sequence
a(465,365) = 180,181
Square (n²)
32,465,192,761
Cube (n³)
5,849,610,896,869,741
Divisor count
2
σ(n) — sum of divisors
180,182
φ(n) — Euler's totient
180,180

Primality

180,181 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 180181
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 180,181)
1 × 180181
First multiples
180,181 · 360,362 (double) · 540,543 · 720,724 · 900,905 · 1,081,086 · 1,261,267 · 1,441,448 · 1,621,629 · 1,801,810

Sums & aliquot sequence

As a sum of two squares: 215² + 366²
As consecutive integers: 90,090 + 90,091

Continued fraction of √n

√180,181 = [424; (2, 10, 1, 1, 9, 4, 4, 44, 2, 4, 6, 1, 10, 3, 4, 4, 1, 1, 1, 1, 1, 2, 2, 2, …)]

Representations

In words
one hundred eighty thousand one hundred eighty-one
Ordinal
180181st
Binary
101011111111010101
Octal
537725
Hexadecimal
0x2BFD5
Base64
Ar/V
One's complement
4,294,787,114 (32-bit)
Scientific notation
1.80181 × 10⁵
As a duration
180,181 s = 2 days, 2 hours, 3 minutes, 1 second
In other bases
ternary (3) 100011011101
quaternary (4) 223333111
quinary (5) 21231211
senary (6) 3510101
septenary (7) 1350211
nonary (9) 304141
undecimal (11) 113411
duodecimal (12) 88331
tridecimal (13) 64021
tetradecimal (14) 49941
pentadecimal (15) 385c1

As an angle

180,181° = 500 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρπρπαʹ
Chinese
一十八萬零一百八十一
Chinese (financial)
壹拾捌萬零壹佰捌拾壹
In other modern scripts
Eastern Arabic ١٨٠١٨١ Devanagari १८०१८१ Bengali ১৮০১৮১ Tamil ௧௮௦௧௮௧ Thai ๑๘๐๑๘๑ Tibetan ༡༨༠༡༨༡ Khmer ១៨០១៨១ Lao ໑໘໐໑໘໑ Burmese ၁၈၀၁၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 180179.

Unicode codepoint
𫿕
CJK Unified Ideograph-2Bfd5
U+2BFD5
Other letter (Lo)

UTF-8 encoding: F0 AB BF 95 (4 bytes).

Hex color
#02BFD5
RGB(2, 191, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.191.213.

Address
0.2.191.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.191.213

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 180,181 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 180181 first appears in π at position 535,466 of the decimal expansion (the 535,466ordinal-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.