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13,643

13,643 is a composite number, odd.

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.).

13,643 (thirteen thousand six hundred forty-three) is an odd 5-digit number. It is a composite number with 4 divisors, and factors as 7 × 1,949. Written other ways, in hexadecimal, 0x354B.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
216
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
34,631
Recamán's sequence
a(4,058) = 13,643
Square (n²)
186,131,449
Cube (n³)
2,539,391,358,707
Divisor count
4
σ(n) — sum of divisors
15,600
φ(n) — Euler's totient
11,688
Sum of prime factors
1,956

Primality

Prime factorization: 7 × 1949

Nearest primes: 13,633 (−10) · 13,649 (+6)

Divisors & multiples

All divisors (4)
1 · 7 · 1949 · 13643
Aliquot sum (sum of proper divisors): 1,957
Factor pairs (a × b = 13,643)
1 × 13643
7 × 1949
First multiples
13,643 · 27,286 (double) · 40,929 · 54,572 · 68,215 · 81,858 · 95,501 · 109,144 · 122,787 · 136,430

Sums & aliquot sequence

As consecutive integers: 6,821 + 6,822 1,946 + 1,947 + … + 1,952 968 + 969 + … + 981
Aliquot sequence: 13,643 1,957 123 45 33 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√13,643 = [116; (1, 4, 12, 10, 1, 1, 6, 2, 1, 7, 2, 1, 2, 5, 1, 15, 1, 5, 2, 1, 2, 7, 1, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand six hundred forty-three
Ordinal
13643rd
Binary
11010101001011
Octal
32513
Hexadecimal
0x354B
Base64
NUs=
One's complement
51,892 (16-bit)
Scientific notation
1.3643 × 10⁴
As a duration
13,643 s = 3 hours, 47 minutes, 23 seconds
In other bases
ternary (3) 200201022
quaternary (4) 3111023
quinary (5) 414033
senary (6) 143055
septenary (7) 54530
nonary (9) 20638
undecimal (11) a283
duodecimal (12) 7a8b
tridecimal (13) 6296
tetradecimal (14) 4d87
pentadecimal (15) 4098

As an angle

13,643° = 37 × 360° + 323°
323° ≈ 5.637 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιγχμγʹ
Mayan (base 20)
𝋡·𝋮·𝋢·𝋣
Chinese
一萬三千六百四十三
Chinese (financial)
壹萬參仟陸佰肆拾參
In other modern scripts
Eastern Arabic ١٣٦٤٣ Devanagari १३६४३ Bengali ১৩৬৪৩ Tamil ௧௩௬௪௩ Thai ๑๓๖๔๓ Tibetan ༡༣༦༤༣ Khmer ១៣៦៤៣ Lao ໑໓໖໔໓ Burmese ၁၃၆၄၃

Digit at this position in famous constants

π — Pi (π)
Digit 13,643 = 1
e — Euler's number (e)
Digit 13,643 = 9
φ — Golden ratio (φ)
Digit 13,643 = 6
√2 — Pythagoras's (√2)
Digit 13,643 = 2
ln 2 — Natural log of 2
Digit 13,643 = 9
γ — Euler-Mascheroni (γ)
Digit 13,643 = 0

Also seen as

Unicode codepoint
CJK Unified Ideograph-354B
U+354B
Other letter (Lo)

UTF-8 encoding: E3 95 8B (3 bytes).

Hex color
#00354B
RGB(0, 53, 75)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.75.

Address
0.0.53.75
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.75

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

Musical pitch

Heard as a frequency, 13,643 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +45¢ — about midway to A9)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -17¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +47¢ — about midway to A♯9)
Position in π

The digit sequence 13643 first appears in π at position 80,165 of the decimal expansion (the 80,165ordinal-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.