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138,066

138,066 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.).

138,066 (one hundred thirty-eight thousand sixty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 23,011. Its proper divisors sum to 138,078, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B52.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
660,831
Recamán's sequence
a(492,695) = 138,066
Square (n²)
19,062,220,356
Cube (n³)
2,631,844,515,671,496
Divisor count
8
σ(n) — sum of divisors
276,144
φ(n) — Euler's totient
46,020
Sum of prime factors
23,016

Primality

Prime factorization: 2 × 3 × 23011

Nearest primes: 138,059 (−7) · 138,071 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 23011 · 46022 · 69033 (half) · 138066
Aliquot sum (sum of proper divisors): 138,078
Factor pairs (a × b = 138,066)
1 × 138066
2 × 69033
3 × 46022
6 × 23011
First multiples
138,066 · 276,132 (double) · 414,198 · 552,264 · 690,330 · 828,396 · 966,462 · 1,104,528 · 1,242,594 · 1,380,660

Sums & aliquot sequence

As consecutive integers: 46,021 + 46,022 + 46,023 34,515 + 34,516 + 34,517 + 34,518 11,500 + 11,501 + … + 11,511
Aliquot sequence: 138,066 138,078 168,882 217,230 345,234 351,438 351,450 693,126 1,023,498 1,511,190 2,679,210 4,466,070 10,049,130 23,013,270 45,370,890 72,593,658 97,150,950 — unresolved within range

Continued fraction of √n

√138,066 = [371; (1, 1, 2, 1, 21, 1, 4, 7, 2, 5, 1, 2, 14, 1, 1, 21, 2, 1, 15, 7, 6, 1, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand sixty-six
Ordinal
138066th
Binary
100001101101010010
Octal
415522
Hexadecimal
0x21B52
Base64
AhtS
One's complement
4,294,829,229 (32-bit)
Scientific notation
1.38066 × 10⁵
As a duration
138,066 s = 1 day, 14 hours, 21 minutes, 6 seconds
In other bases
ternary (3) 21000101120
quaternary (4) 201231102
quinary (5) 13404231
senary (6) 2543110
septenary (7) 1113345
nonary (9) 230346
undecimal (11) 94805
duodecimal (12) 67a96
tridecimal (13) 4aac6
tetradecimal (14) 3845c
pentadecimal (15) 2ad96

As an angle

138,066° = 383 × 360° + 186°
186° ≈ 3.246 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληξϛʹ
Mayan (base 20)
𝋱·𝋥·𝋣·𝋦
Chinese
一十三萬八千零六十六
Chinese (financial)
壹拾參萬捌仟零陸拾陸
In other modern scripts
Eastern Arabic ١٣٨٠٦٦ Devanagari १३८०६६ Bengali ১৩৮০৬৬ Tamil ௧௩௮௦௬௬ Thai ๑๓๘๐๖๖ Tibetan ༡༣༨༠༦༦ Khmer ១៣៨០៦៦ Lao ໑໓໘໐໖໖ Burmese ၁၃၈၀၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138066, here are decompositions:

  • 7 + 138059 = 138066
  • 13 + 138053 = 138066
  • 59 + 138007 = 138066
  • 67 + 137999 = 138066
  • 73 + 137993 = 138066
  • 83 + 137983 = 138066
  • 109 + 137957 = 138066
  • 139 + 137927 = 138066

Showing the first eight; more decompositions exist.

Unicode codepoint
𡭒
CJK Unified Ideograph-21B52
U+21B52
Other letter (Lo)

UTF-8 encoding: F0 A1 AD 92 (4 bytes).

Hex color
#021B52
RGB(2, 27, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.82.

Address
0.2.27.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.82

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 138,066 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 138066 first appears in π at position 506,853 of the decimal expansion (the 506,853ordinal-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

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