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138,427

138,427 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.).

138,427 (one hundred thirty-eight thousand four hundred twenty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21CBB.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
1,344
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
724,831
Recamán's sequence
a(491,973) = 138,427
Square (n²)
19,162,034,329
Cube (n³)
2,652,542,926,060,483
Divisor count
2
σ(n) — sum of divisors
138,428
φ(n) — Euler's totient
138,426

Primality

138,427 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138427
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,427)
1 × 138427
First multiples
138,427 · 276,854 (double) · 415,281 · 553,708 · 692,135 · 830,562 · 968,989 · 1,107,416 · 1,245,843 · 1,384,270

Sums & aliquot sequence

As consecutive integers: 69,213 + 69,214

Continued fraction of √n

√138,427 = [372; (17, 3, 3, 2, 2, 2, 1, 5, 5, 35, 4, 6, 1, 1, 2, 1, 2, 5, 1, 123, 5, 1, 2, 19, …)]

Representations

In words
one hundred thirty-eight thousand four hundred twenty-seven
Ordinal
138427th
Binary
100001110010111011
Octal
416273
Hexadecimal
0x21CBB
Base64
Ahy7
One's complement
4,294,828,868 (32-bit)
Scientific notation
1.38427 × 10⁵
As a duration
138,427 s = 1 day, 14 hours, 27 minutes, 7 seconds
In other bases
ternary (3) 21000212221
quaternary (4) 201302323
quinary (5) 13412202
senary (6) 2544511
septenary (7) 1114402
nonary (9) 230787
undecimal (11) 95003
duodecimal (12) 68137
tridecimal (13) 4b013
tetradecimal (14) 38639
pentadecimal (15) 2b037

As an angle

138,427° = 384 × 360° + 187°
187° ≈ 3.264 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυκζʹ
Mayan (base 20)
𝋱·𝋦·𝋡·𝋧
Chinese
一十三萬八千四百二十七
Chinese (financial)
壹拾參萬捌仟肆佰貳拾柒
In other modern scripts
Eastern Arabic ١٣٨٤٢٧ Devanagari १३८४२७ Bengali ১৩৮৪২৭ Tamil ௧௩௮௪௨௭ Thai ๑๓๘๔๒๗ Tibetan ༡༣༨༤༢༧ Khmer ១៣៨៤២៧ Lao ໑໓໘໔໒໗ Burmese ၁၃၈၄၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 138433.

Unicode codepoint
𡲻
CJK Unified Ideograph-21Cbb
U+21CBB
Other letter (Lo)

UTF-8 encoding: F0 A1 B2 BB (4 bytes).

Hex color
#021CBB
RGB(2, 28, 187)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.187.

Address
0.2.28.187
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.187

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 138,427 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.