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13,864

13,864 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.).

13,864 (thirteen thousand eight hundred sixty-four) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2³ × 1,733. Written other ways, in hexadecimal, 0x3628.

Deficient Number Evil Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
576
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
46,831
Recamán's sequence
a(20,988) = 13,864
Square (n²)
192,210,496
Cube (n³)
2,664,806,316,544
Divisor count
8
σ(n) — sum of divisors
26,010
φ(n) — Euler's totient
6,928
Sum of prime factors
1,739

Primality

Prime factorization: 2 3 × 1733

Nearest primes: 13,859 (−5) · 13,873 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 1733 · 3466 · 6932 (half) · 13864
Aliquot sum (sum of proper divisors): 12,146
Factor pairs (a × b = 13,864)
1 × 13864
2 × 6932
4 × 3466
8 × 1733
First multiples
13,864 · 27,728 (double) · 41,592 · 55,456 · 69,320 · 83,184 · 97,048 · 110,912 · 124,776 · 138,640

Sums & aliquot sequence

As a sum of two squares: 42² + 110²
As consecutive integers: 859 + 860 + … + 874
Aliquot sequence: 13,864 12,146 6,076 6,692 6,748 6,804 13,580 19,348 19,404 42,840 125,640 283,860 633,420 1,562,004 2,535,180 5,206,260 9,371,436 — unresolved within range

Continued fraction of √n

√13,864 = [117; (1, 2, 1, 13, 9, 1, 2, 1, 5, 6, 1, 25, 3, 3, 1, 1, 2, 9, 33, 1, 1, 6, 1, 1, …)]

Representations

In words
thirteen thousand eight hundred sixty-four
Ordinal
13864th
Binary
11011000101000
Octal
33050
Hexadecimal
0x3628
Base64
Nig=
One's complement
51,671 (16-bit)
Scientific notation
1.3864 × 10⁴
As a duration
13,864 s = 3 hours, 51 minutes, 4 seconds
In other bases
ternary (3) 201000111
quaternary (4) 3120220
quinary (5) 420424
senary (6) 144104
septenary (7) 55264
nonary (9) 21014
undecimal (11) a464
duodecimal (12) 8034
tridecimal (13) 6406
tetradecimal (14) 50a4
pentadecimal (15) 4194

As an angle

13,864° = 38 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγωξδʹ
Mayan (base 20)
𝋡·𝋮·𝋭·𝋤
Chinese
一萬三千八百六十四
Chinese (financial)
壹萬參仟捌佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٨٦٤ Devanagari १३८६४ Bengali ১৩৮৬৪ Tamil ௧௩௮௬௪ Thai ๑๓๘๖๔ Tibetan ༡༣༨༦༤ Khmer ១៣៨៦៤ Lao ໑໓໘໖໔ Burmese ၁၃၈၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,864 = 1
e — Euler's number (e)
Digit 13,864 = 5
φ — Golden ratio (φ)
Digit 13,864 = 5
√2 — Pythagoras's (√2)
Digit 13,864 = 3
ln 2 — Natural log of 2
Digit 13,864 = 6
γ — Euler-Mascheroni (γ)
Digit 13,864 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13864, here are decompositions:

  • 5 + 13859 = 13864
  • 23 + 13841 = 13864
  • 83 + 13781 = 13864
  • 101 + 13763 = 13864
  • 107 + 13757 = 13864
  • 113 + 13751 = 13864
  • 167 + 13697 = 13864
  • 173 + 13691 = 13864

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3628
U+3628
Other letter (Lo)

UTF-8 encoding: E3 98 A8 (3 bytes).

Hex color
#003628
RGB(0, 54, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.40.

Address
0.0.54.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.40

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

Musical pitch

Heard as a frequency, 13,864 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -27¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +11¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -25¢)
Position in π

The digit sequence 13864 first appears in π at position 8,143 of the decimal expansion (the 8,143ordinal-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