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138,376

138,376 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.).

138,376 (one hundred thirty-eight thousand three hundred seventy-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 7² × 353. Its proper divisors sum to 164,294, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C88.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
3,024
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
673,831
Recamán's sequence
a(492,075) = 138,376
Square (n²)
19,147,917,376
Cube (n³)
2,649,612,214,821,376
Divisor count
24
σ(n) — sum of divisors
302,670
φ(n) — Euler's totient
59,136
Sum of prime factors
373

Primality

Prime factorization: 2 3 × 7 2 × 353

Nearest primes: 138,373 (−3) · 138,389 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 49 · 56 · 98 · 196 · 353 · 392 · 706 · 1412 · 2471 · 2824 · 4942 · 9884 · 17297 · 19768 · 34594 · 69188 (half) · 138376
Aliquot sum (sum of proper divisors): 164,294
Factor pairs (a × b = 138,376)
1 × 138376
2 × 69188
4 × 34594
7 × 19768
8 × 17297
14 × 9884
28 × 4942
49 × 2824
56 × 2471
98 × 1412
196 × 706
353 × 392
First multiples
138,376 · 276,752 (double) · 415,128 · 553,504 · 691,880 · 830,256 · 968,632 · 1,107,008 · 1,245,384 · 1,383,760

Sums & aliquot sequence

As a sum of two squares: 126² + 350²
As consecutive integers: 19,765 + 19,766 + … + 19,771 8,641 + 8,642 + … + 8,656 2,800 + 2,801 + … + 2,848 1,180 + 1,181 + … + 1,291
Aliquot sequence: 138,376 164,294 107,866 68,678 38,890 31,130 30,214 15,110 12,106 6,056 5,314 2,660 4,060 6,020 8,764 8,820 22,302 — unresolved within range

Continued fraction of √n

√138,376 = [371; (1, 91, 1, 742)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand three hundred seventy-six
Ordinal
138376th
Binary
100001110010001000
Octal
416210
Hexadecimal
0x21C88
Base64
AhyI
One's complement
4,294,828,919 (32-bit)
Scientific notation
1.38376 × 10⁵
As a duration
138,376 s = 1 day, 14 hours, 26 minutes, 16 seconds
In other bases
ternary (3) 21000211001
quaternary (4) 201302020
quinary (5) 13412001
senary (6) 2544344
septenary (7) 1114300
nonary (9) 230731
undecimal (11) 94a67
duodecimal (12) 680b4
tridecimal (13) 4aca4
tetradecimal (14) 38600
pentadecimal (15) 2b001
Palindromic in base 13

As an angle

138,376° = 384 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλητοϛʹ
Mayan (base 20)
𝋱·𝋥·𝋲·𝋰
Chinese
一十三萬八千三百七十六
Chinese (financial)
壹拾參萬捌仟參佰柒拾陸
In other modern scripts
Eastern Arabic ١٣٨٣٧٦ Devanagari १३८३७६ Bengali ১৩৮৩৭৬ Tamil ௧௩௮௩௭௬ Thai ๑๓๘๓๗๖ Tibetan ༡༣༨༣༧༦ Khmer ១៣៨៣៧៦ Lao ໑໓໘໓໗໖ Burmese ၁၃၈၃၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138376, here are decompositions:

  • 3 + 138373 = 138376
  • 5 + 138371 = 138376
  • 53 + 138323 = 138376
  • 137 + 138239 = 138376
  • 167 + 138209 = 138376
  • 179 + 138197 = 138376
  • 197 + 138179 = 138376
  • 233 + 138143 = 138376

Showing the first eight; more decompositions exist.

Unicode codepoint
𡲈
CJK Unified Ideograph-21C88
U+21C88
Other letter (Lo)

UTF-8 encoding: F0 A1 B2 88 (4 bytes).

Hex color
#021C88
RGB(2, 28, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.136.

Address
0.2.28.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.136

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 138,376 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 138376 first appears in π at position 62,316 of the decimal expansion (the 62,316ordinal-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