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138,188

138,188 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.).

138,188 (one hundred thirty-eight thousand one hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 179 × 193. Written other ways, in hexadecimal, 0x21BCC.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
1,536
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
881,831
Recamán's sequence
a(492,451) = 138,188
Square (n²)
19,095,923,344
Cube (n³)
2,638,827,455,060,672
Divisor count
12
σ(n) — sum of divisors
244,440
φ(n) — Euler's totient
68,352
Sum of prime factors
376

Primality

Prime factorization: 2 2 × 179 × 193

Nearest primes: 138,181 (−7) · 138,191 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 179 · 193 · 358 · 386 · 716 · 772 · 34547 · 69094 (half) · 138188
Aliquot sum (sum of proper divisors): 106,252
Factor pairs (a × b = 138,188)
1 × 138188
2 × 69094
4 × 34547
179 × 772
193 × 716
358 × 386
First multiples
138,188 · 276,376 (double) · 414,564 · 552,752 · 690,940 · 829,128 · 967,316 · 1,105,504 · 1,243,692 · 1,381,880

Sums & aliquot sequence

As consecutive integers: 17,270 + 17,271 + … + 17,277 683 + 684 + … + 861 620 + 621 + … + 812
Aliquot sequence: 138,188 106,252 82,244 66,856 61,484 51,916 38,944 37,790 30,250 31,994 18,874 9,440 13,240 16,640 26,284 19,720 28,880 — unresolved within range

Continued fraction of √n

√138,188 = [371; (1, 2, 1, 3, 1, 6, 1, 1, 2, 1, 92, 4, 1, 1, 1, 1, 5, 14, 1, 184, 1, 14, 5, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred eighty-eight
Ordinal
138188th
Binary
100001101111001100
Octal
415714
Hexadecimal
0x21BCC
Base64
AhvM
One's complement
4,294,829,107 (32-bit)
Scientific notation
1.38188 × 10⁵
As a duration
138,188 s = 1 day, 14 hours, 23 minutes, 8 seconds
In other bases
ternary (3) 21000120002
quaternary (4) 201233030
quinary (5) 13410223
senary (6) 2543432
septenary (7) 1113611
nonary (9) 230502
undecimal (11) 94906
duodecimal (12) 67b78
tridecimal (13) 4ab8b
tetradecimal (14) 38508
pentadecimal (15) 2ae28

As an angle

138,188° = 383 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρπηʹ
Mayan (base 20)
𝋱·𝋥·𝋩·𝋨
Chinese
一十三萬八千一百八十八
Chinese (financial)
壹拾參萬捌仟壹佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٨١٨٨ Devanagari १३८१८८ Bengali ১৩৮১৮৮ Tamil ௧௩௮௧௮௮ Thai ๑๓๘๑๘๘ Tibetan ༡༣༨༡༨༨ Khmer ១៣៨១៨៨ Lao ໑໓໘໑໘໘ Burmese ၁၃၈၁၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138188, here are decompositions:

  • 7 + 138181 = 138188
  • 31 + 138157 = 138188
  • 109 + 138079 = 138188
  • 181 + 138007 = 138188
  • 241 + 137947 = 138188
  • 277 + 137911 = 138188
  • 397 + 137791 = 138188
  • 601 + 137587 = 138188

Showing the first eight; more decompositions exist.

Unicode codepoint
𡯌
CJK Unified Ideograph-21Bcc
U+21BCC
Other letter (Lo)

UTF-8 encoding: F0 A1 AF 8C (4 bytes).

Hex color
#021BCC
RGB(2, 27, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.204.

Address
0.2.27.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.204

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 138,188 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 138188 first appears in π at position 84,331 of the decimal expansion (the 84,331ordinal-suffix:st 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

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