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188,401

188,401 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.).

188,401 (one hundred eighty-eight thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2DFF1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
104,881
Recamán's sequence
a(76,866) = 188,401
Square (n²)
35,494,936,801
Cube (n³)
6,687,281,588,245,201
Divisor count
2
σ(n) — sum of divisors
188,402
φ(n) — Euler's totient
188,400

Primality

188,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 188401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 188,401)
1 × 188401
First multiples
188,401 · 376,802 (double) · 565,203 · 753,604 · 942,005 · 1,130,406 · 1,318,807 · 1,507,208 · 1,695,609 · 1,884,010

Sums & aliquot sequence

As a sum of two squares: 276² + 335²
As consecutive integers: 94,200 + 94,201

Continued fraction of √n

√188,401 = [434; (19, 3, 2, 4, 3, 2, 7, 2, 1, 1, 2, 1, 2, 3, 1, 4, 1, 3, 7, 3, 2, 11, 1, 1, …)]

Representations

In words
one hundred eighty-eight thousand four hundred one
Ordinal
188401st
Binary
101101111111110001
Octal
557761
Hexadecimal
0x2DFF1
Base64
At/x
One's complement
4,294,778,894 (32-bit)
Scientific notation
1.88401 × 10⁵
As a duration
188,401 s = 2 days, 4 hours, 20 minutes, 1 second
In other bases
ternary (3) 100120102211
quaternary (4) 231333301
quinary (5) 22012101
senary (6) 4012121
septenary (7) 1413163
nonary (9) 316384
undecimal (11) 119604
duodecimal (12) 91041
tridecimal (13) 679a5
tetradecimal (14) 4c933
pentadecimal (15) 3ac51

As an angle

188,401° = 523 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρπηυαʹ
Chinese
十八萬八千四百零一
Chinese (financial)
壹拾捌萬捌仟肆佰零壹
In other modern scripts
Eastern Arabic ١٨٨٤٠١ Devanagari १८८४०१ Bengali ১৮৮৪০১ Tamil ௧௮௮௪௦௧ Thai ๑๘๘๔๐๑ Tibetan ༡༨༨༤༠༡ Khmer ១៨៨៤០១ Lao ໑໘໘໔໐໑ Burmese ၁၈၈၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 188407.

Unicode codepoint
𭿱
CJK Unified Ideograph-2Dff1
U+2DFF1
Other letter (Lo)

UTF-8 encoding: F0 AD BF B1 (4 bytes).

Hex color
#02DFF1
RGB(2, 223, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.223.241.

Address
0.2.223.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.223.241

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 188,401 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.