number.wiki
Live analysis

188,021

188,021 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.).

188,021 (one hundred eighty-eight thousand twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2DE75.

Arithmetic Number Chen Prime Cousin Prime 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
120,881
Recamán's sequence
a(169,838) = 188,021
Square (n²)
35,351,896,441
Cube (n³)
6,646,898,920,733,261
Divisor count
2
σ(n) — sum of divisors
188,022
φ(n) — Euler's totient
188,020

Primality

188,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 188021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 188,021)
1 × 188021
First multiples
188,021 · 376,042 (double) · 564,063 · 752,084 · 940,105 · 1,128,126 · 1,316,147 · 1,504,168 · 1,692,189 · 1,880,210

Sums & aliquot sequence

As a sum of two squares: 86² + 425²
As consecutive integers: 94,010 + 94,011

Continued fraction of √n

√188,021 = [433; (1, 1, 1, 1, 2, 3, 1, 1, 3, 1, 6, 6, 2, 1, 2, 7, 1, 1, 2, 2, 24, 2, 1, 3, …)]

Representations

In words
one hundred eighty-eight thousand twenty-one
Ordinal
188021st
Binary
101101111001110101
Octal
557165
Hexadecimal
0x2DE75
Base64
At51
One's complement
4,294,779,274 (32-bit)
Scientific notation
1.88021 × 10⁵
As a duration
188,021 s = 2 days, 4 hours, 13 minutes, 41 seconds
In other bases
ternary (3) 100112220202
quaternary (4) 231321311
quinary (5) 22004041
senary (6) 4010245
septenary (7) 1412111
nonary (9) 315822
undecimal (11) 119299
duodecimal (12) 90985
tridecimal (13) 67772
tetradecimal (14) 4c741
pentadecimal (15) 3aa9b

As an angle

188,021° = 522 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ρπηκαʹ
Chinese
十八萬八千零二十一
Chinese (financial)
壹拾捌萬捌仟零貳拾壹
In other modern scripts
Eastern Arabic ١٨٨٠٢١ Devanagari १८८०२१ Bengali ১৮৮০২১ Tamil ௧௮௮௦௨௧ Thai ๑๘๘๐๒๑ Tibetan ༡༨༨༠༢༡ Khmer ១៨៨០២១ Lao ໑໘໘໐໒໑ Burmese ၁၈၈၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 188017.

Unicode codepoint
𭹵
CJK Unified Ideograph-2De75
U+2DE75
Other letter (Lo)

UTF-8 encoding: F0 AD B9 B5 (4 bytes).

Hex color
#02DE75
RGB(2, 222, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.222.117.

Address
0.2.222.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.222.117

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 188,021 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 188021 first appears in π at position 809,095 of the decimal expansion (the 809,095ordinal-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.