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13,205

13,205 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.).

13,205 (thirteen thousand two hundred five) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 5 × 19 × 139. Written other ways, in hexadecimal, 0x3395.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
50,231
Recamán's sequence
a(47,865) = 13,205
Square (n²)
174,372,025
Cube (n³)
2,302,582,590,125
Divisor count
8
σ(n) — sum of divisors
16,800
φ(n) — Euler's totient
9,936
Sum of prime factors
163

Primality

Prime factorization: 5 × 19 × 139

Nearest primes: 13,187 (−18) · 13,217 (+12)

Divisors & multiples

All divisors (8)
1 · 5 · 19 · 95 · 139 · 695 · 2641 · 13205
Aliquot sum (sum of proper divisors): 3,595
Factor pairs (a × b = 13,205)
1 × 13205
5 × 2641
19 × 695
95 × 139
First multiples
13,205 · 26,410 (double) · 39,615 · 52,820 · 66,025 · 79,230 · 92,435 · 105,640 · 118,845 · 132,050

Sums & aliquot sequence

As consecutive integers: 6,602 + 6,603 2,639 + 2,640 + 2,641 + 2,642 + 2,643 1,316 + 1,317 + … + 1,325 686 + 687 + … + 704
Aliquot sequence: 13,205 3,595 725 205 47 1 0 — terminates at zero

Continued fraction of √n

√13,205 = [114; (1, 10, 2, 56, 1, 44, 1, 56, 2, 10, 1, 228)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand two hundred five
Ordinal
13205th
Binary
11001110010101
Octal
31625
Hexadecimal
0x3395
Base64
M5U=
One's complement
52,330 (16-bit)
Scientific notation
1.3205 × 10⁴
As a duration
13,205 s = 3 hours, 40 minutes, 5 seconds
In other bases
ternary (3) 200010002
quaternary (4) 3032111
quinary (5) 410310
senary (6) 141045
septenary (7) 53333
nonary (9) 20102
undecimal (11) 9a15
duodecimal (12) 7785
tridecimal (13) 601a
tetradecimal (14) 4b53
pentadecimal (15) 3da5
Palindromic in base 3, base 9

As an angle

13,205° = 36 × 360° + 245°
245° ≈ 4.276 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγσεʹ
Mayan (base 20)
𝋡·𝋭·𝋠·𝋥
Chinese
一萬三千二百零五
Chinese (financial)
壹萬參仟貳佰零伍
In other modern scripts
Eastern Arabic ١٣٢٠٥ Devanagari १३२०५ Bengali ১৩২০৫ Tamil ௧௩௨௦௫ Thai ๑๓๒๐๕ Tibetan ༡༣༢༠༥ Khmer ១៣២០៥ Lao ໑໓໒໐໕ Burmese ၁၃၂၀၅

Digit at this position in famous constants

π — Pi (π)
Digit 13,205 = 4
e — Euler's number (e)
Digit 13,205 = 2
φ — Golden ratio (φ)
Digit 13,205 = 5
√2 — Pythagoras's (√2)
Digit 13,205 = 6
ln 2 — Natural log of 2
Digit 13,205 = 6
γ — Euler-Mascheroni (γ)
Digit 13,205 = 7

Also seen as

Unicode codepoint
Square Mu L
U+3395
Other symbol (So)

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

Hex color
#003395
RGB(0, 51, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.149.

Address
0.0.51.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.149

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

Musical pitch

Heard as a frequency, 13,205 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -11¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +27¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -10¢)
Position in π

The digit sequence 13205 first appears in π at position 127,842 of the decimal expansion (the 127,842ordinal-suffix:nd 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.