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138,342

138,342 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.).

138,342 (one hundred thirty-eight thousand three hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 23,057. Its proper divisors sum to 138,354, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C66.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
576
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
243,831
Recamán's sequence
a(492,143) = 138,342
Square (n²)
19,138,508,964
Cube (n³)
2,647,659,607,097,688
Divisor count
8
σ(n) — sum of divisors
276,696
φ(n) — Euler's totient
46,112
Sum of prime factors
23,062

Primality

Prime factorization: 2 × 3 × 23057

Nearest primes: 138,337 (−5) · 138,349 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 23057 · 46114 · 69171 (half) · 138342
Aliquot sum (sum of proper divisors): 138,354
Factor pairs (a × b = 138,342)
1 × 138342
2 × 69171
3 × 46114
6 × 23057
First multiples
138,342 · 276,684 (double) · 415,026 · 553,368 · 691,710 · 830,052 · 968,394 · 1,106,736 · 1,245,078 · 1,383,420

Sums & aliquot sequence

As consecutive integers: 46,113 + 46,114 + 46,115 34,584 + 34,585 + 34,586 + 34,587 11,523 + 11,524 + … + 11,534
Aliquot sequence: 138,342 138,354 138,366 161,466 180,678 180,690 277,230 388,194 458,526 458,538 458,550 774,630 1,414,170 2,460,870 4,119,210 6,889,086 8,037,306 — unresolved within range

Continued fraction of √n

√138,342 = [371; (1, 16, 1, 2, 2, 14, 1, 3, 15, 1, 1, 2, 1, 10, 2, 1, 1, 2, 1, 1, 8, 14, 2, 7, …)]

Representations

In words
one hundred thirty-eight thousand three hundred forty-two
Ordinal
138342nd
Binary
100001110001100110
Octal
416146
Hexadecimal
0x21C66
Base64
Ahxm
One's complement
4,294,828,953 (32-bit)
Scientific notation
1.38342 × 10⁵
As a duration
138,342 s = 1 day, 14 hours, 25 minutes, 42 seconds
In other bases
ternary (3) 21000202210
quaternary (4) 201301212
quinary (5) 13411332
senary (6) 2544250
septenary (7) 1114221
nonary (9) 230683
undecimal (11) 94a36
duodecimal (12) 68086
tridecimal (13) 4ac79
tetradecimal (14) 385b8
pentadecimal (15) 2aecc
Palindromic in base 12

As an angle

138,342° = 384 × 360° + 102°
102° ≈ 1.78 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλητμβʹ
Mayan (base 20)
𝋱·𝋥·𝋱·𝋢
Chinese
一十三萬八千三百四十二
Chinese (financial)
壹拾參萬捌仟參佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٨٣٤٢ Devanagari १३८३४२ Bengali ১৩৮৩৪২ Tamil ௧௩௮௩௪௨ Thai ๑๓๘๓๔๒ Tibetan ༡༣༨༣༤༢ Khmer ១៣៨៣៤២ Lao ໑໓໘໓໔໒ Burmese ၁၃၈၃၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138342, here are decompositions:

  • 5 + 138337 = 138342
  • 19 + 138323 = 138342
  • 23 + 138319 = 138342
  • 31 + 138311 = 138342
  • 53 + 138289 = 138342
  • 59 + 138283 = 138342
  • 101 + 138241 = 138342
  • 103 + 138239 = 138342

Showing the first eight; more decompositions exist.

Unicode codepoint
𡱦
CJK Unified Ideograph-21C66
U+21C66
Other letter (Lo)

UTF-8 encoding: F0 A1 B1 A6 (4 bytes).

Hex color
#021C66
RGB(2, 28, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.102.

Address
0.2.28.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.102

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 138,342 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 138342 first appears in π at position 689,251 of the decimal expansion (the 689,251ordinal-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

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