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138,404

138,404 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.).

138,404 (one hundred thirty-eight thousand four hundred four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,943. Its proper divisors sum to 138,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21CA4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
404,831
Recamán's sequence
a(492,019) = 138,404
Square (n²)
19,155,667,216
Cube (n³)
2,651,220,965,363,264
Divisor count
12
σ(n) — sum of divisors
276,864
φ(n) — Euler's totient
59,304
Sum of prime factors
4,954

Primality

Prime factorization: 2 2 × 7 × 4943

Nearest primes: 138,403 (−1) · 138,407 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 4943 · 9886 · 19772 · 34601 · 69202 (half) · 138404
Aliquot sum (sum of proper divisors): 138,460
Factor pairs (a × b = 138,404)
1 × 138404
2 × 69202
4 × 34601
7 × 19772
14 × 9886
28 × 4943
First multiples
138,404 · 276,808 (double) · 415,212 · 553,616 · 692,020 · 830,424 · 968,828 · 1,107,232 · 1,245,636 · 1,384,040

Sums & aliquot sequence

As consecutive integers: 19,769 + 19,770 + … + 19,775 17,297 + 17,298 + … + 17,304 2,444 + 2,445 + … + 2,499
Aliquot sequence: 138,404 138,460 216,356 216,412 227,108 227,164 267,596 296,884 324,044 337,204 337,260 856,212 1,427,244 2,674,644 4,881,324 8,135,764 10,454,444 — unresolved within range

Continued fraction of √n

√138,404 = [372; (37, 4, 1, 28, 1, 24, 1, 2, 4, 3, 5, 23, 15, 1, 3, 1, 2, 2, 12, 5, 2, 1, 5, 1, …)]

Representations

In words
one hundred thirty-eight thousand four hundred four
Ordinal
138404th
Binary
100001110010100100
Octal
416244
Hexadecimal
0x21CA4
Base64
Ahyk
One's complement
4,294,828,891 (32-bit)
Scientific notation
1.38404 × 10⁵
As a duration
138,404 s = 1 day, 14 hours, 26 minutes, 44 seconds
In other bases
ternary (3) 21000212002
quaternary (4) 201302210
quinary (5) 13412104
senary (6) 2544432
septenary (7) 1114340
nonary (9) 230762
undecimal (11) 94a92
duodecimal (12) 68118
tridecimal (13) 4acc6
tetradecimal (14) 38620
pentadecimal (15) 2b01e

As an angle

138,404° = 384 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυδʹ
Mayan (base 20)
𝋱·𝋦·𝋠·𝋤
Chinese
一十三萬八千四百零四
Chinese (financial)
壹拾參萬捌仟肆佰零肆
In other modern scripts
Eastern Arabic ١٣٨٤٠٤ Devanagari १३८४०४ Bengali ১৩৮৪০৪ Tamil ௧௩௮௪௦௪ Thai ๑๓๘๔๐๔ Tibetan ༡༣༨༤༠༤ Khmer ១៣៨៤០៤ Lao ໑໓໘໔໐໔ Burmese ၁၃၈၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138404, here are decompositions:

  • 3 + 138401 = 138404
  • 31 + 138373 = 138404
  • 67 + 138337 = 138404
  • 157 + 138247 = 138404
  • 163 + 138241 = 138404
  • 223 + 138181 = 138404
  • 241 + 138163 = 138404
  • 397 + 138007 = 138404

Showing the first eight; more decompositions exist.

Unicode codepoint
𡲤
CJK Unified Ideograph-21Ca4
U+21CA4
Other letter (Lo)

UTF-8 encoding: F0 A1 B2 A4 (4 bytes).

Hex color
#021CA4
RGB(2, 28, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.164.

Address
0.2.28.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.164

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 138,404 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.