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138,088

138,088 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.).

138,088 (one hundred thirty-eight thousand eighty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 41 × 421. Written other ways, in hexadecimal, 0x21B68.

Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
880,831
Recamán's sequence
a(492,651) = 138,088
Square (n²)
19,068,295,744
Cube (n³)
2,633,102,822,697,472
Divisor count
16
σ(n) — sum of divisors
265,860
φ(n) — Euler's totient
67,200
Sum of prime factors
468

Primality

Prime factorization: 2 3 × 41 × 421

Nearest primes: 138,079 (−9) · 138,101 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 41 · 82 · 164 · 328 · 421 · 842 · 1684 · 3368 · 17261 · 34522 · 69044 (half) · 138088
Aliquot sum (sum of proper divisors): 127,772
Factor pairs (a × b = 138,088)
1 × 138088
2 × 69044
4 × 34522
8 × 17261
41 × 3368
82 × 1684
164 × 842
328 × 421
First multiples
138,088 · 276,176 (double) · 414,264 · 552,352 · 690,440 · 828,528 · 966,616 · 1,104,704 · 1,242,792 · 1,380,880

Sums & aliquot sequence

As a sum of two squares: 222² + 298² = 242² + 282²
As a sum of two cubes: 40³ + 42³
As consecutive integers: 8,623 + 8,624 + … + 8,638 3,348 + 3,349 + … + 3,388 118 + 119 + … + 538
Aliquot sequence: 138,088 127,772 109,108 81,838 54,242 29,434 14,720 22,000 36,032 35,596 32,444 24,340 26,816 26,524 22,476 29,996 22,504 — unresolved within range

Continued fraction of √n

√138,088 = [371; (1, 1, 1, 1, 20, 22, 2, 8, 1, 2, 5, 3, 1, 1, 23, 2, 2, 5, 1, 2, 1, 5, 1, 5, …)]

Representations

In words
one hundred thirty-eight thousand eighty-eight
Ordinal
138088th
Binary
100001101101101000
Octal
415550
Hexadecimal
0x21B68
Base64
Ahto
One's complement
4,294,829,207 (32-bit)
Scientific notation
1.38088 × 10⁵
As a duration
138,088 s = 1 day, 14 hours, 21 minutes, 28 seconds
In other bases
ternary (3) 21000102101
quaternary (4) 201231220
quinary (5) 13404323
senary (6) 2543144
septenary (7) 1113406
nonary (9) 230371
undecimal (11) 94825
duodecimal (12) 67ab4
tridecimal (13) 4ab12
tetradecimal (14) 38476
pentadecimal (15) 2adad

As an angle

138,088° = 383 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληπηʹ
Mayan (base 20)
𝋱·𝋥·𝋤·𝋨
Chinese
一十三萬八千零八十八
Chinese (financial)
壹拾參萬捌仟零捌拾捌
In other modern scripts
Eastern Arabic ١٣٨٠٨٨ Devanagari १३८०८८ Bengali ১৩৮০৮৮ Tamil ௧௩௮௦௮௮ Thai ๑๓๘๐๘๘ Tibetan ༡༣༨༠༨༨ Khmer ១៣៨០៨៨ Lao ໑໓໘໐໘໘ Burmese ၁၃၈၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138088, here are decompositions:

  • 11 + 138077 = 138088
  • 17 + 138071 = 138088
  • 29 + 138059 = 138088
  • 47 + 138041 = 138088
  • 89 + 137999 = 138088
  • 131 + 137957 = 138088
  • 179 + 137909 = 138088
  • 239 + 137849 = 138088

Showing the first eight; more decompositions exist.

Unicode codepoint
𡭨
CJK Unified Ideograph-21B68
U+21B68
Other letter (Lo)

UTF-8 encoding: F0 A1 AD A8 (4 bytes).

Hex color
#021B68
RGB(2, 27, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.104.

Address
0.2.27.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.104

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 138,088 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 138088 first appears in π at position 143,803 of the decimal expansion (the 143,803ordinal-suffix:rd 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