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138,304

138,304 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.).

138,304 (one hundred thirty-eight thousand three hundred four) is an even 6-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 2,161. Written other ways, in hexadecimal, 0x21C40.

Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
403,831
Recamán's sequence
a(492,219) = 138,304
Square (n²)
19,127,996,416
Cube (n³)
2,645,478,416,318,464
Divisor count
14
σ(n) — sum of divisors
274,574
φ(n) — Euler's totient
69,120
Sum of prime factors
2,173

Primality

Prime factorization: 2 6 × 2161

Nearest primes: 138,289 (−15) · 138,311 (+7)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 2161 · 4322 · 8644 · 17288 · 34576 · 69152 (half) · 138304
Aliquot sum (sum of proper divisors): 136,270
Factor pairs (a × b = 138,304)
1 × 138304
2 × 69152
4 × 34576
8 × 17288
16 × 8644
32 × 4322
64 × 2161
First multiples
138,304 · 276,608 (double) · 414,912 · 553,216 · 691,520 · 829,824 · 968,128 · 1,106,432 · 1,244,736 · 1,383,040

Sums & aliquot sequence

As a sum of two squares: 120² + 352²
As consecutive integers: 1,017 + 1,018 + … + 1,144
Aliquot sequence: 138,304 136,270 109,034 54,520 75,080 93,940 156,044 156,100 232,764 428,484 714,364 762,244 789,866 758,422 595,898 311,494 155,750 — unresolved within range

Continued fraction of √n

√138,304 = [371; (1, 8, 3, 2, 1, 6, 1, 2, 1, 4, 1, 8, 2, 1, 4, 11, 4, 2, 1, 2, 1, 7, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand three hundred four
Ordinal
138304th
Binary
100001110001000000
Octal
416100
Hexadecimal
0x21C40
Base64
AhxA
One's complement
4,294,828,991 (32-bit)
Scientific notation
1.38304 × 10⁵
As a duration
138,304 s = 1 day, 14 hours, 25 minutes, 4 seconds
In other bases
ternary (3) 21000201101
quaternary (4) 201301000
quinary (5) 13411204
senary (6) 2544144
septenary (7) 1114135
nonary (9) 230641
undecimal (11) 94a01
duodecimal (12) 68054
tridecimal (13) 4ac4a
tetradecimal (14) 3858c
pentadecimal (15) 2aea4

As an angle

138,304° = 384 × 360° + 64°
64° ≈ 1.117 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλητδʹ
Mayan (base 20)
𝋱·𝋥·𝋯·𝋤
Chinese
一十三萬八千三百零四
Chinese (financial)
壹拾參萬捌仟參佰零肆
In other modern scripts
Eastern Arabic ١٣٨٣٠٤ Devanagari १३८३०४ Bengali ১৩৮৩০৪ Tamil ௧௩௮௩௦௪ Thai ๑๓๘๓๐๔ Tibetan ༡༣༨༣༠༤ Khmer ១៣៨៣០៤ Lao ໑໓໘໓໐໔ Burmese ၁၃၈၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138304, here are decompositions:

  • 53 + 138251 = 138304
  • 107 + 138197 = 138304
  • 113 + 138191 = 138304
  • 191 + 138113 = 138304
  • 197 + 138107 = 138304
  • 227 + 138077 = 138304
  • 233 + 138071 = 138304
  • 251 + 138053 = 138304

Showing the first eight; more decompositions exist.

Unicode codepoint
𡱀
CJK Unified Ideograph-21C40
U+21C40
Other letter (Lo)

UTF-8 encoding: F0 A1 B1 80 (4 bytes).

Hex color
#021C40
RGB(2, 28, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.64.

Address
0.2.28.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.64

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 138,304 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 138304 first appears in π at position 388,377 of the decimal expansion (the 388,377ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading