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138,340

138,340 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.).

138,340 (one hundred thirty-eight thousand three hundred forty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,917. Its proper divisors sum to 152,216, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C64.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
43,831
Recamán's sequence
a(492,147) = 138,340
Square (n²)
19,137,955,600
Cube (n³)
2,647,544,777,704,000
Divisor count
12
σ(n) — sum of divisors
290,556
φ(n) — Euler's totient
55,328
Sum of prime factors
6,926

Primality

Prime factorization: 2 2 × 5 × 6917

Nearest primes: 138,337 (−3) · 138,349 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6917 · 13834 · 27668 · 34585 · 69170 (half) · 138340
Aliquot sum (sum of proper divisors): 152,216
Factor pairs (a × b = 138,340)
1 × 138340
2 × 69170
4 × 34585
5 × 27668
10 × 13834
20 × 6917
First multiples
138,340 · 276,680 (double) · 415,020 · 553,360 · 691,700 · 830,040 · 968,380 · 1,106,720 · 1,245,060 · 1,383,400

Sums & aliquot sequence

As a sum of two squares: 54² + 368² = 262² + 264²
As consecutive integers: 27,666 + 27,667 + 27,668 + 27,669 + 27,670 17,289 + 17,290 + … + 17,296 3,439 + 3,440 + … + 3,478
Aliquot sequence: 138,340 152,216 139,384 177,416 161,224 184,376 179,824 168,616 192,824 168,736 163,526 104,098 66,398 33,202 20,474 11,386 5,696 — unresolved within range

Continued fraction of √n

√138,340 = [371; (1, 15, 1, 9, 1, 5, 4, 5, 1, 1, 8, 1, 6, 1, 5, 1, 4, 1, 4, 1, 2, 7, 2, 1, …)]

Representations

In words
one hundred thirty-eight thousand three hundred forty
Ordinal
138340th
Binary
100001110001100100
Octal
416144
Hexadecimal
0x21C64
Base64
Ahxk
One's complement
4,294,828,955 (32-bit)
Scientific notation
1.3834 × 10⁵
As a duration
138,340 s = 1 day, 14 hours, 25 minutes, 40 seconds
In other bases
ternary (3) 21000202201
quaternary (4) 201301210
quinary (5) 13411330
senary (6) 2544244
septenary (7) 1114216
nonary (9) 230681
undecimal (11) 94a34
duodecimal (12) 68084
tridecimal (13) 4ac77
tetradecimal (14) 385b6
pentadecimal (15) 2aeca

As an angle

138,340° = 384 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλητμʹ
Mayan (base 20)
𝋱·𝋥·𝋱·𝋠
Chinese
一十三萬八千三百四十
Chinese (financial)
壹拾參萬捌仟參佰肆拾
In other modern scripts
Eastern Arabic ١٣٨٣٤٠ Devanagari १३८३४० Bengali ১৩৮৩৪০ Tamil ௧௩௮௩௪௦ Thai ๑๓๘๓๔๐ Tibetan ༡༣༨༣༤༠ Khmer ១៣៨៣៤០ Lao ໑໓໘໓໔໐ Burmese ၁၃၈၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138340, here are decompositions:

  • 3 + 138337 = 138340
  • 17 + 138323 = 138340
  • 29 + 138311 = 138340
  • 89 + 138251 = 138340
  • 101 + 138239 = 138340
  • 131 + 138209 = 138340
  • 149 + 138191 = 138340
  • 197 + 138143 = 138340

Showing the first eight; more decompositions exist.

Unicode codepoint
𡱤
CJK Unified Ideograph-21C64
U+21C64
Other letter (Lo)

UTF-8 encoding: F0 A1 B1 A4 (4 bytes).

Hex color
#021C64
RGB(2, 28, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.100.

Address
0.2.28.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.100

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 138,340 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 138340 first appears in π at position 182,562 of the decimal expansion (the 182,562ordinal-suffix:nd 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