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138,426

138,426 is a composite number, even.

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.).

138,426 (one hundred thirty-eight thousand four hundred twenty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 23,071. Its proper divisors sum to 138,438, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21CBA.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,152
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
624,831
Recamán's sequence
a(491,975) = 138,426
Square (n²)
19,161,757,476
Cube (n³)
2,652,485,440,372,776
Divisor count
8
σ(n) — sum of divisors
276,864
φ(n) — Euler's totient
46,140
Sum of prime factors
23,076

Primality

Prime factorization: 2 × 3 × 23071

Nearest primes: 138,407 (−19) · 138,427 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 23071 · 46142 · 69213 (half) · 138426
Aliquot sum (sum of proper divisors): 138,438
Factor pairs (a × b = 138,426)
1 × 138426
2 × 69213
3 × 46142
6 × 23071
First multiples
138,426 · 276,852 (double) · 415,278 · 553,704 · 692,130 · 830,556 · 968,982 · 1,107,408 · 1,245,834 · 1,384,260

Sums & aliquot sequence

As consecutive integers: 46,141 + 46,142 + 46,143 34,605 + 34,606 + 34,607 + 34,608 11,530 + 11,531 + … + 11,541
Aliquot sequence: 138,426 138,438 161,550 273,690 438,138 524,538 838,278 1,237,770 2,173,950 3,667,938 3,667,950 8,831,250 15,237,522 17,777,148 23,844,180 43,288,620 80,882,868 — unresolved within range

Continued fraction of √n

√138,426 = [372; (17, 1, 2, 1, 1, 14, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 1, 2, 1, 12, 3, 6, 2, 1, …)]

Representations

In words
one hundred thirty-eight thousand four hundred twenty-six
Ordinal
138426th
Binary
100001110010111010
Octal
416272
Hexadecimal
0x21CBA
Base64
Ahy6
One's complement
4,294,828,869 (32-bit)
Scientific notation
1.38426 × 10⁵
As a duration
138,426 s = 1 day, 14 hours, 27 minutes, 6 seconds
In other bases
ternary (3) 21000212220
quaternary (4) 201302322
quinary (5) 13412201
senary (6) 2544510
septenary (7) 1114401
nonary (9) 230786
undecimal (11) 95002
duodecimal (12) 68136
tridecimal (13) 4b012
tetradecimal (14) 38638
pentadecimal (15) 2b036

As an angle

138,426° = 384 × 360° + 186°
186° ≈ 3.246 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυκϛʹ
Mayan (base 20)
𝋱·𝋦·𝋡·𝋦
Chinese
一十三萬八千四百二十六
Chinese (financial)
壹拾參萬捌仟肆佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٨٤٢٦ Devanagari १३८४२६ Bengali ১৩৮৪২৬ Tamil ௧௩௮௪௨௬ Thai ๑๓๘๔๒๖ Tibetan ༡༣༨༤༢༦ Khmer ១៣៨៤២៦ Lao ໑໓໘໔໒໖ Burmese ၁၃၈၄၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138426, here are decompositions:

  • 19 + 138407 = 138426
  • 23 + 138403 = 138426
  • 37 + 138389 = 138426
  • 53 + 138373 = 138426
  • 89 + 138337 = 138426
  • 103 + 138323 = 138426
  • 107 + 138319 = 138426
  • 137 + 138289 = 138426

Showing the first eight; more decompositions exist.

Unicode codepoint
𡲺
CJK Unified Ideograph-21Cba
U+21CBA
Other letter (Lo)

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

Hex color
#021CBA
RGB(2, 28, 186)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.186.

Address
0.2.28.186
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.186

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 138,426 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.