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8,138

8,138 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.).

8,138 (eight thousand one hundred thirty-eight) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 13 × 313. Written other ways, in hexadecimal, 0x1FCA.

Cube-Free Deficient Number Odious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
192
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
8,318
Recamán's sequence
a(10,491) = 8,138
Square (n²)
66,227,044
Cube (n³)
538,955,684,072
Divisor count
8
σ(n) — sum of divisors
13,188
φ(n) — Euler's totient
3,744
Sum of prime factors
328

Primality

Prime factorization: 2 × 13 × 313

Nearest primes: 8,123 (−15) · 8,147 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 13 · 26 · 313 · 626 · 4069 (half) · 8138
Aliquot sum (sum of proper divisors): 5,050
Factor pairs (a × b = 8,138)
1 × 8138
2 × 4069
13 × 626
26 × 313
First multiples
8,138 · 16,276 (double) · 24,414 · 32,552 · 40,690 · 48,828 · 56,966 · 65,104 · 73,242 · 81,380

Sums & aliquot sequence

As a sum of two squares: 47² + 77² = 53² + 73²
As consecutive integers: 2,033 + 2,034 + 2,035 + 2,036 620 + 621 + … + 632 131 + 132 + … + 182
Aliquot sequence: 8,138 5,050 4,436 3,334 1,670 1,354 680 940 1,076 814 554 280 440 640 890 730 602 — unresolved within range

Continued fraction of √n

√8,138 = [90; (4, 1, 2, 1, 7, 2, 6, 2, 7, 1, 2, 1, 4, 180)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
eight thousand one hundred thirty-eight
Ordinal
8138th
Binary
1111111001010
Octal
17712
Hexadecimal
0x1FCA
Base64
H8o=
One's complement
57,397 (16-bit)
Scientific notation
8.138 × 10³
As a duration
8,138 s = 2 hours, 15 minutes, 38 seconds
In other bases
ternary (3) 102011102
quaternary (4) 1333022
quinary (5) 230023
senary (6) 101402
septenary (7) 32504
nonary (9) 12142
undecimal (11) 6129
duodecimal (12) 4862
tridecimal (13) 3920
tetradecimal (14) 2d74
pentadecimal (15) 2628

As an angle

8,138° = 22 × 360° + 218°
218° ≈ 3.805 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ηρληʹ
Mayan (base 20)
𝋡·𝋠·𝋦·𝋲
Chinese
八千一百三十八
Chinese (financial)
捌仟壹佰參拾捌
In other modern scripts
Eastern Arabic ٨١٣٨ Devanagari ८१३८ Bengali ৮১৩৮ Tamil ௮௧௩௮ Thai ๘๑๓๘ Tibetan ༨༡༣༨ Khmer ៨១៣៨ Lao ໘໑໓໘ Burmese ၈၁၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 8,138 = 5
e — Euler's number (e)
Digit 8,138 = 0
φ — Golden ratio (φ)
Digit 8,138 = 8
√2 — Pythagoras's (√2)
Digit 8,138 = 8
ln 2 — Natural log of 2
Digit 8,138 = 6
γ — Euler-Mascheroni (γ)
Digit 8,138 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8138, here are decompositions:

  • 37 + 8101 = 8138
  • 79 + 8059 = 8138
  • 127 + 8011 = 8138
  • 211 + 7927 = 8138
  • 271 + 7867 = 8138
  • 349 + 7789 = 8138
  • 379 + 7759 = 8138
  • 397 + 7741 = 8138

Showing the first eight; more decompositions exist.

Unicode codepoint
Greek Capital Letter Eta With Varia
U+1FCA
Uppercase letter (Lu)

UTF-8 encoding: E1 BF 8A (3 bytes).

Hex color
#001FCA
RGB(0, 31, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.202.

Address
0.0.31.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.202

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 8,138 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -49¢ — about midway to B8)
  • Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -11¢)
  • Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -48¢ — about midway to C9)
Position in π

The digit sequence 8138 first appears in π at position 2,196 of the decimal expansion (the 2,196ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.