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138,104

138,104 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.).

138,104 (one hundred thirty-eight thousand one hundred four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 61 × 283. Written other ways, in hexadecimal, 0x21B78.

Deficient Number Happy Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
401,831
Recamán's sequence
a(492,619) = 138,104
Square (n²)
19,072,714,816
Cube (n³)
2,634,018,206,948,864
Divisor count
16
σ(n) — sum of divisors
264,120
φ(n) — Euler's totient
67,680
Sum of prime factors
350

Primality

Prime factorization: 2 3 × 61 × 283

Nearest primes: 138,101 (−3) · 138,107 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 61 · 122 · 244 · 283 · 488 · 566 · 1132 · 2264 · 17263 · 34526 · 69052 (half) · 138104
Aliquot sum (sum of proper divisors): 126,016
Factor pairs (a × b = 138,104)
1 × 138104
2 × 69052
4 × 34526
8 × 17263
61 × 2264
122 × 1132
244 × 566
283 × 488
First multiples
138,104 · 276,208 (double) · 414,312 · 552,416 · 690,520 · 828,624 · 966,728 · 1,104,832 · 1,242,936 · 1,381,040

Sums & aliquot sequence

As consecutive integers: 8,624 + 8,625 + … + 8,639 2,234 + 2,235 + … + 2,294 347 + 348 + … + 629
Aliquot sequence: 138,104 126,016 148,304 185,008 186,000 433,008 830,800 1,260,336 2,961,616 3,815,728 5,118,224 5,738,224 6,261,008 7,238,128 7,239,120 19,425,840 51,807,696 — unresolved within range

Continued fraction of √n

√138,104 = [371; (1, 1, 1, 1, 1, 9, 1, 1, 3, 1, 12, 2, 36, 1, 2, 7, 3, 14, 1, 5, 1, 1, 1, 3, …)]

Representations

In words
one hundred thirty-eight thousand one hundred four
Ordinal
138104th
Binary
100001101101111000
Octal
415570
Hexadecimal
0x21B78
Base64
Aht4
One's complement
4,294,829,191 (32-bit)
Scientific notation
1.38104 × 10⁵
As a duration
138,104 s = 1 day, 14 hours, 21 minutes, 44 seconds
In other bases
ternary (3) 21000102222
quaternary (4) 201231320
quinary (5) 13404404
senary (6) 2543212
septenary (7) 1113431
nonary (9) 230388
undecimal (11) 9483a
duodecimal (12) 67b08
tridecimal (13) 4ab25
tetradecimal (14) 38488
pentadecimal (15) 2adbe

As an angle

138,104° = 383 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρδʹ
Mayan (base 20)
𝋱·𝋥·𝋥·𝋤
Chinese
一十三萬八千一百零四
Chinese (financial)
壹拾參萬捌仟壹佰零肆
In other modern scripts
Eastern Arabic ١٣٨١٠٤ Devanagari १३८१०४ Bengali ১৩৮১০৪ Tamil ௧௩௮௧௦௪ Thai ๑๓๘๑๐๔ Tibetan ༡༣༨༡༠༤ Khmer ១៣៨១០៤ Lao ໑໓໘໑໐໔ Burmese ၁၃၈၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138104, here are decompositions:

  • 3 + 138101 = 138104
  • 97 + 138007 = 138104
  • 157 + 137947 = 138104
  • 163 + 137941 = 138104
  • 193 + 137911 = 138104
  • 277 + 137827 = 138104
  • 313 + 137791 = 138104
  • 367 + 137737 = 138104

Showing the first eight; more decompositions exist.

Unicode codepoint
𡭸
CJK Unified Ideograph-21B78
U+21B78
Other letter (Lo)

UTF-8 encoding: F0 A1 AD B8 (4 bytes).

Hex color
#021B78
RGB(2, 27, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.120.

Address
0.2.27.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.120

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 138,104 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.