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188,137

188,137 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.).

188,137 (one hundred eighty-eight 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, 0x2DEE9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
1,344
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
731,881
Recamán's sequence
a(81,414) = 188,137
Square (n²)
35,395,530,769
Cube (n³)
6,659,208,972,287,353
Divisor count
2
σ(n) — sum of divisors
188,138
φ(n) — Euler's totient
188,136

Primality

188,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 188137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 188,137)
1 × 188137
First multiples
188,137 · 376,274 (double) · 564,411 · 752,548 · 940,685 · 1,128,822 · 1,316,959 · 1,505,096 · 1,693,233 · 1,881,370

Sums & aliquot sequence

As a sum of two squares: 64² + 429²
As consecutive integers: 94,068 + 94,069

Continued fraction of √n

√188,137 = [433; (1, 2, 1, 25, 1, 1, 6, 8, 1, 7, 1, 1, 7, 2, 3, 66, 2, 3, 1, 4, 1, 1, 5, 8, …)]

Representations

In words
one hundred eighty-eight thousand one hundred thirty-seven
Ordinal
188137th
Binary
101101111011101001
Octal
557351
Hexadecimal
0x2DEE9
Base64
At7p
One's complement
4,294,779,158 (32-bit)
Scientific notation
1.88137 × 10⁵
As a duration
188,137 s = 2 days, 4 hours, 15 minutes, 37 seconds
In other bases
ternary (3) 100120002001
quaternary (4) 231323221
quinary (5) 22010022
senary (6) 4011001
septenary (7) 1412335
nonary (9) 316061
undecimal (11) 119394
duodecimal (12) 90a61
tridecimal (13) 67831
tetradecimal (14) 4c7c5
pentadecimal (15) 3ab27

As an angle

188,137° = 522 × 360° + 217°
217° ≈ 3.787 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρπηρλζʹ
Chinese
十八萬八千一百三十七
Chinese (financial)
壹拾捌萬捌仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٨٨١٣٧ Devanagari १८८१३७ Bengali ১৮৮১৩৭ Tamil ௧௮௮௧௩௭ Thai ๑๘๘๑๓๗ Tibetan ༡༨༨༡༣༧ Khmer ១៨៨១៣៧ Lao ໑໘໘໑໓໗ Burmese ၁၈၈၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 188143.

Unicode codepoint
𭻩
CJK Unified Ideograph-2Dee9
U+2DEE9
Other letter (Lo)

UTF-8 encoding: F0 AD BB A9 (4 bytes).

Hex color
#02DEE9
RGB(2, 222, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.222.233.

Address
0.2.222.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.222.233

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 188,137 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.