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180,161

180,161 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.).

180,161 (one hundred eighty thousand one hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2BFC1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Flippable Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
161,081
Flips to (rotate 180°)
191,081
Recamán's sequence
a(465,405) = 180,161
Square (n²)
32,457,985,921
Cube (n³)
5,847,663,201,513,281
Divisor count
2
σ(n) — sum of divisors
180,162
φ(n) — Euler's totient
180,160

Primality

180,161 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 180161
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 180,161)
1 × 180161
First multiples
180,161 · 360,322 (double) · 540,483 · 720,644 · 900,805 · 1,080,966 · 1,261,127 · 1,441,288 · 1,621,449 · 1,801,610

Sums & aliquot sequence

As a sum of two squares: 280² + 319²
As consecutive integers: 90,080 + 90,081

Continued fraction of √n

√180,161 = [424; (2, 4, 1, 9, 1, 3, 1, 5, 17, 6, 1, 1, 2, 1, 7, 1, 2, 4, 1, 23, 2, 3, 1, 3, …)]

Representations

In words
one hundred eighty thousand one hundred sixty-one
Ordinal
180161st
Binary
101011111111000001
Octal
537701
Hexadecimal
0x2BFC1
Base64
Ar/B
One's complement
4,294,787,134 (32-bit)
Scientific notation
1.80161 × 10⁵
As a duration
180,161 s = 2 days, 2 hours, 2 minutes, 41 seconds
In other bases
ternary (3) 100011010122
quaternary (4) 223333001
quinary (5) 21231121
senary (6) 3510025
septenary (7) 1350152
nonary (9) 304118
undecimal (11) 1133a3
duodecimal (12) 88315
tridecimal (13) 64007
tetradecimal (14) 49929
pentadecimal (15) 385ab

As an angle

180,161° = 500 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρπρξαʹ
Chinese
一十八萬零一百六十一
Chinese (financial)
壹拾捌萬零壹佰陸拾壹
In other modern scripts
Eastern Arabic ١٨٠١٦١ Devanagari १८०१६१ Bengali ১৮০১৬১ Tamil ௧௮௦௧௬௧ Thai ๑๘๐๑๖๑ Tibetan ༡༨༠༡༦༡ Khmer ១៨០១៦១ Lao ໑໘໐໑໖໑ Burmese ၁၈၀၁၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𫿁
CJK Unified Ideograph-2Bfc1
U+2BFC1
Other letter (Lo)

UTF-8 encoding: F0 AB BF 81 (4 bytes).

Hex color
#02BFC1
RGB(2, 191, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.191.193.

Address
0.2.191.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.191.193

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 180,161 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 180161 first appears in π at position 683,343 of the decimal expansion (the 683,343ordinal-suffix:rd 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.