number.wiki
Live analysis

138,018

138,018 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.).

138,018 (one hundred thirty-eight thousand eighteen) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 23,003. Its proper divisors sum to 138,030, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B22.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
810,831
Recamán's sequence
a(492,791) = 138,018
Square (n²)
19,048,968,324
Cube (n³)
2,629,100,510,141,832
Divisor count
8
σ(n) — sum of divisors
276,048
φ(n) — Euler's totient
46,004
Sum of prime factors
23,008

Primality

Prime factorization: 2 × 3 × 23003

Nearest primes: 138,007 (−11) · 138,041 (+23)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 23003 · 46006 · 69009 (half) · 138018
Aliquot sum (sum of proper divisors): 138,030
Factor pairs (a × b = 138,018)
1 × 138018
2 × 69009
3 × 46006
6 × 23003
First multiples
138,018 · 276,036 (double) · 414,054 · 552,072 · 690,090 · 828,108 · 966,126 · 1,104,144 · 1,242,162 · 1,380,180

Sums & aliquot sequence

As consecutive integers: 46,005 + 46,006 + 46,007 34,503 + 34,504 + 34,505 + 34,506 11,496 + 11,497 + … + 11,507
Aliquot sequence: 138,018 138,030 204,114 204,126 235,698 240,558 240,570 467,910 780,570 1,681,830 2,803,770 4,486,266 6,255,738 8,628,102 12,737,034 15,567,606 20,223,594 — unresolved within range

Continued fraction of √n

√138,018 = [371; (1, 1, 31, 1, 4, 8, 2, 1, 18, 2, 1, 2, 4, 1, 4, 1, 1, 1, 1, 3, 1, 1, 2, 3, …)]

Representations

In words
one hundred thirty-eight thousand eighteen
Ordinal
138018th
Binary
100001101100100010
Octal
415442
Hexadecimal
0x21B22
Base64
Ahsi
One's complement
4,294,829,277 (32-bit)
Scientific notation
1.38018 × 10⁵
As a duration
138,018 s = 1 day, 14 hours, 20 minutes, 18 seconds
In other bases
ternary (3) 21000022210
quaternary (4) 201230202
quinary (5) 13404033
senary (6) 2542550
septenary (7) 1113246
nonary (9) 230283
undecimal (11) 94771
duodecimal (12) 67a56
tridecimal (13) 4aa8a
tetradecimal (14) 38426
pentadecimal (15) 2ad63

As an angle

138,018° = 383 × 360° + 138°
138° ≈ 2.409 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληιηʹ
Mayan (base 20)
𝋱·𝋥·𝋠·𝋲
Chinese
一十三萬八千零一十八
Chinese (financial)
壹拾參萬捌仟零壹拾捌
In other modern scripts
Eastern Arabic ١٣٨٠١٨ Devanagari १३८०१८ Bengali ১৩৮০১৮ Tamil ௧௩௮௦௧௮ Thai ๑๓๘๐๑๘ Tibetan ༡༣༨༠༡༨ Khmer ១៣៨០១៨ Lao ໑໓໘໐໑໘ Burmese ၁၃၈၀၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138018, here are decompositions:

  • 11 + 138007 = 138018
  • 19 + 137999 = 138018
  • 61 + 137957 = 138018
  • 71 + 137947 = 138018
  • 107 + 137911 = 138018
  • 109 + 137909 = 138018
  • 149 + 137869 = 138018
  • 151 + 137867 = 138018

Showing the first eight; more decompositions exist.

Unicode codepoint
𡬢
CJK Unified Ideograph-21B22
U+21B22
Other letter (Lo)

UTF-8 encoding: F0 A1 AC A2 (4 bytes).

Hex color
#021B22
RGB(2, 27, 34)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.34.

Address
0.2.27.34
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.34

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 138,018 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 138018 first appears in π at position 852,529 of the decimal expansion (the 852,529ordinal-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

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