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180,137

180,137 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.).

180,137 (one hundred eighty thousand one hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2BFA9.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
731,081
Recamán's sequence
a(465,453) = 180,137
Square (n²)
32,449,338,769
Cube (n³)
5,845,326,537,831,353
Divisor count
2
σ(n) — sum of divisors
180,138
φ(n) — Euler's totient
180,136

Primality

180,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 180137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 180,137)
1 × 180137
First multiples
180,137 · 360,274 (double) · 540,411 · 720,548 · 900,685 · 1,080,822 · 1,260,959 · 1,441,096 · 1,621,233 · 1,801,370

Sums & aliquot sequence

As a sum of two squares: 19² + 424²
As consecutive integers: 90,068 + 90,069

Continued fraction of √n

√180,137 = [424; (2, 2, 1, 5, 1, 11, 9, 1, 1, 3, 1, 1, 4, 19, 1, 1, 11, 8, 1, 1, 1, 44, 44, 1, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words
one hundred eighty thousand one hundred thirty-seven
Ordinal
180137th
Binary
101011111110101001
Octal
537651
Hexadecimal
0x2BFA9
Base64
Ar+p
One's complement
4,294,787,158 (32-bit)
Scientific notation
1.80137 × 10⁵
As a duration
180,137 s = 2 days, 2 hours, 2 minutes, 17 seconds
In other bases
ternary (3) 100011002202
quaternary (4) 223332221
quinary (5) 21231022
senary (6) 3505545
septenary (7) 1350116
nonary (9) 304082
undecimal (11) 113381
duodecimal (12) 882b5
tridecimal (13) 63cb9
tetradecimal (14) 4990d
pentadecimal (15) 38592

As an angle

180,137° = 500 × 360° + 137°
137° ≈ 2.391 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρπρλζʹ
Chinese
一十八萬零一百三十七
Chinese (financial)
壹拾捌萬零壹佰參拾柒
In other modern scripts
Eastern Arabic ١٨٠١٣٧ Devanagari १८०१३७ Bengali ১৮০১৩৭ Tamil ௧௮௦௧௩௭ Thai ๑๘๐๑๓๗ Tibetan ༡༨༠༡༣༧ Khmer ១៨០១៣៧ Lao ໑໘໐໑໓໗ Burmese ၁၈၀၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𫾩
CJK Unified Ideograph-2Bfa9
U+2BFA9
Other letter (Lo)

UTF-8 encoding: F0 AB BE A9 (4 bytes).

Hex color
#02BFA9
RGB(2, 191, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.191.169.

Address
0.2.191.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.191.169

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 180,137 and was likely granted around 1875.

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

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.