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13,803

13,803 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.).

13,803 (thirteen thousand eight hundred three) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 3 × 43 × 107. Written other ways, in hexadecimal, 0x35EB.

Arithmetic Number Binary Palindrome Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
30,831
Recamán's sequence
a(21,110) = 13,803
Square (n²)
190,522,809
Cube (n³)
2,629,786,332,627
Divisor count
8
σ(n) — sum of divisors
19,008
φ(n) — Euler's totient
8,904
Sum of prime factors
153

Primality

Prime factorization: 3 × 43 × 107

Nearest primes: 13,799 (−4) · 13,807 (+4)

Divisors & multiples

All divisors (8)
1 · 3 · 43 · 107 · 129 · 321 · 4601 · 13803
Aliquot sum (sum of proper divisors): 5,205
Factor pairs (a × b = 13,803)
1 × 13803
3 × 4601
43 × 321
107 × 129
First multiples
13,803 · 27,606 (double) · 41,409 · 55,212 · 69,015 · 82,818 · 96,621 · 110,424 · 124,227 · 138,030

Sums & aliquot sequence

As consecutive integers: 6,901 + 6,902 4,600 + 4,601 + 4,602 2,298 + 2,299 + 2,300 + 2,301 + 2,302 + 2,303 300 + 301 + … + 342
Aliquot sequence: 13,803 5,205 3,147 1,053 641 1 0 — terminates at zero

Continued fraction of √n

√13,803 = [117; (2, 17, 1, 1, 2, 1, 3, 1, 8, 4, 117, 4, 8, 1, 3, 1, 2, 1, 1, 17, 2, 234)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand eight hundred three
Ordinal
13803rd
Binary
11010111101011
Octal
32753
Hexadecimal
0x35EB
Base64
Nes=
One's complement
51,732 (16-bit)
Scientific notation
1.3803 × 10⁴
As a duration
13,803 s = 3 hours, 50 minutes, 3 seconds
In other bases
ternary (3) 200221020
quaternary (4) 3113223
quinary (5) 420203
senary (6) 143523
septenary (7) 55146
nonary (9) 20836
undecimal (11) a409
duodecimal (12) 7ba3
tridecimal (13) 638a
tetradecimal (14) 505d
pentadecimal (15) 4153
Palindromic in base 2

As an angle

13,803° = 38 × 360° + 123°
123° ≈ 2.147 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺
Greek (Milesian)
͵ιγωγʹ
Mayan (base 20)
𝋡·𝋮·𝋪·𝋣
Chinese
一萬三千八百零三
Chinese (financial)
壹萬參仟捌佰零參
In other modern scripts
Eastern Arabic ١٣٨٠٣ Devanagari १३८०३ Bengali ১৩৮০৩ Tamil ௧௩௮௦௩ Thai ๑๓๘๐๓ Tibetan ༡༣༨༠༣ Khmer ១៣៨០៣ Lao ໑໓໘໐໓ Burmese ၁၃၈၀၃

Digit at this position in famous constants

π — Pi (π)
Digit 13,803 = 5
e — Euler's number (e)
Digit 13,803 = 8
φ — Golden ratio (φ)
Digit 13,803 = 5
√2 — Pythagoras's (√2)
Digit 13,803 = 1
ln 2 — Natural log of 2
Digit 13,803 = 6
γ — Euler-Mascheroni (γ)
Digit 13,803 = 4

Also seen as

Unicode codepoint
CJK Unified Ideograph-35Eb
U+35EB
Other letter (Lo)

UTF-8 encoding: E3 97 AB (3 bytes).

Hex color
#0035EB
RGB(0, 53, 235)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.235.

Address
0.0.53.235
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.235

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

Musical pitch

Heard as a frequency, 13,803 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -34¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +3¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -33¢)
Position in π

The digit sequence 13803 first appears in π at position 24,498 of the decimal expansion (the 24,498ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.