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138,433

138,433 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.).

138,433 (one hundred thirty-eight thousand four hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21CC1.

Arithmetic Number 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
864
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
334,831
Recamán's sequence
a(491,961) = 138,433
Square (n²)
19,163,695,489
Cube (n³)
2,652,887,857,628,737
Divisor count
2
σ(n) — sum of divisors
138,434
φ(n) — Euler's totient
138,432

Primality

138,433 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138433
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,433)
1 × 138433
First multiples
138,433 · 276,866 (double) · 415,299 · 553,732 · 692,165 · 830,598 · 969,031 · 1,107,464 · 1,245,897 · 1,384,330

Sums & aliquot sequence

As a sum of two squares: 7² + 372²
As consecutive integers: 69,216 + 69,217

Continued fraction of √n

√138,433 = [372; (15, 5, 2, 2, 7, 1, 3, 2, 1, 7, 2, 15, 2, 1, 3, 15, 4, 2, 1, 24, 1, 30, 22, 1, …)]

Representations

In words
one hundred thirty-eight thousand four hundred thirty-three
Ordinal
138433rd
Binary
100001110011000001
Octal
416301
Hexadecimal
0x21CC1
Base64
AhzB
One's complement
4,294,828,862 (32-bit)
Scientific notation
1.38433 × 10⁵
As a duration
138,433 s = 1 day, 14 hours, 27 minutes, 13 seconds
In other bases
ternary (3) 21000220011
quaternary (4) 201303001
quinary (5) 13412213
senary (6) 2544521
septenary (7) 1114411
nonary (9) 230804
undecimal (11) 95009
duodecimal (12) 68141
tridecimal (13) 4b019
tetradecimal (14) 38641
pentadecimal (15) 2b03d

As an angle

138,433° = 384 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρληυλγʹ
Mayan (base 20)
𝋱·𝋦·𝋡·𝋭
Chinese
一十三萬八千四百三十三
Chinese (financial)
壹拾參萬捌仟肆佰參拾參
In other modern scripts
Eastern Arabic ١٣٨٤٣٣ Devanagari १३८४३३ Bengali ১৩৮৪৩৩ Tamil ௧௩௮௪௩௩ Thai ๑๓๘๔๓๓ Tibetan ༡༣༨༤༣༣ Khmer ១៣៨៤៣៣ Lao ໑໓໘໔໓໓ Burmese ၁၃၈၄၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 138427.

Unicode codepoint
𡳁
CJK Unified Ideograph-21Cc1
U+21CC1
Other letter (Lo)

UTF-8 encoding: F0 A1 B3 81 (4 bytes).

Hex color
#021CC1
RGB(2, 28, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.193.

Address
0.2.28.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.193

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 138,433 and was likely granted around 1872.

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.