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138,108

138,108 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.).

138,108 (one hundred thirty-eight thousand one hundred eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 17 × 677. Its proper divisors sum to 203,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B7C.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
801,831
Recamán's sequence
a(492,611) = 138,108
Square (n²)
19,073,819,664
Cube (n³)
2,634,247,086,155,712
Divisor count
24
σ(n) — sum of divisors
341,712
φ(n) — Euler's totient
43,264
Sum of prime factors
701

Primality

Prime factorization: 2 2 × 3 × 17 × 677

Nearest primes: 138,107 (−1) · 138,113 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 51 · 68 · 102 · 204 · 677 · 1354 · 2031 · 2708 · 4062 · 8124 · 11509 · 23018 · 34527 · 46036 · 69054 (half) · 138108
Aliquot sum (sum of proper divisors): 203,604
Factor pairs (a × b = 138,108)
1 × 138108
2 × 69054
3 × 46036
4 × 34527
6 × 23018
12 × 11509
17 × 8124
34 × 4062
51 × 2708
68 × 2031
102 × 1354
204 × 677
First multiples
138,108 · 276,216 (double) · 414,324 · 552,432 · 690,540 · 828,648 · 966,756 · 1,104,864 · 1,242,972 · 1,381,080

Sums & aliquot sequence

As consecutive integers: 46,035 + 46,036 + 46,037 17,260 + 17,261 + … + 17,267 8,116 + 8,117 + … + 8,132 5,743 + 5,744 + … + 5,766
Aliquot sequence: 138,108 203,604 308,460 580,596 774,156 1,032,236 787,204 715,724 536,800 916,232 903,028 903,084 1,693,524 2,822,764 2,904,244 2,904,300 7,522,116 — unresolved within range

Continued fraction of √n

√138,108 = [371; (1, 1, 1, 2, 3, 1, 2, 5, 3, 1, 2, 2, 1, 1, 2, 1, 4, 5, 1, 13, 2, 4, 1, 56, …)]

Representations

In words
one hundred thirty-eight thousand one hundred eight
Ordinal
138108th
Binary
100001101101111100
Octal
415574
Hexadecimal
0x21B7C
Base64
Aht8
One's complement
4,294,829,187 (32-bit)
Scientific notation
1.38108 × 10⁵
As a duration
138,108 s = 1 day, 14 hours, 21 minutes, 48 seconds
In other bases
ternary (3) 21000110010
quaternary (4) 201231330
quinary (5) 13404413
senary (6) 2543220
septenary (7) 1113435
nonary (9) 230403
undecimal (11) 94843
duodecimal (12) 67b10
tridecimal (13) 4ab29
tetradecimal (14) 3848c
pentadecimal (15) 2adc3

As an angle

138,108° = 383 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρηʹ
Mayan (base 20)
𝋱·𝋥·𝋥·𝋨
Chinese
一十三萬八千一百零八
Chinese (financial)
壹拾參萬捌仟壹佰零捌
In other modern scripts
Eastern Arabic ١٣٨١٠٨ Devanagari १३८१०८ Bengali ১৩৮১০৮ Tamil ௧௩௮௧௦௮ Thai ๑๓๘๑๐๘ Tibetan ༡༣༨༡༠༨ Khmer ១៣៨១០៨ Lao ໑໓໘໑໐໘ Burmese ၁၃၈၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138108, here are decompositions:

  • 7 + 138101 = 138108
  • 29 + 138079 = 138108
  • 31 + 138077 = 138108
  • 37 + 138071 = 138108
  • 67 + 138041 = 138108
  • 101 + 138007 = 138108
  • 109 + 137999 = 138108
  • 151 + 137957 = 138108

Showing the first eight; more decompositions exist.

Unicode codepoint
𡭼
CJK Unified Ideograph-21B7C
U+21B7C
Other letter (Lo)

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

Hex color
#021B7C
RGB(2, 27, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.124.

Address
0.2.27.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.124

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 138,108 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.