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13,206

13,206 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.).
Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
60,231
Recamán's sequence
a(47,863) = 13,206
Square (n²)
174,398,436
Cube (n³)
2,303,105,745,816
Divisor count
16
σ(n) — sum of divisors
27,648
φ(n) — Euler's totient
4,200
Sum of prime factors
107

Primality

Prime factorization: 2 × 3 × 31 × 71

Nearest primes: 13,187 (−19) · 13,217 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 31 · 62 · 71 · 93 · 142 · 186 · 213 · 426 · 2201 · 4402 · 6603 (half) · 13206
Aliquot sum (sum of proper divisors): 14,442
Factor pairs (a × b = 13,206)
1 × 13206
2 × 6603
3 × 4402
6 × 2201
31 × 426
62 × 213
71 × 186
93 × 142
First multiples
13,206 · 26,412 (double) · 39,618 · 52,824 · 66,030 · 79,236 · 92,442 · 105,648 · 118,854 · 132,060

Sums & aliquot sequence

As consecutive integers: 4,401 + 4,402 + 4,403 3,300 + 3,301 + 3,302 + 3,303 1,095 + 1,096 + … + 1,106 411 + 412 + … + 441
Aliquot sequence: 13,206 14,442 15,798 15,810 25,662 38,850 74,238 74,250 150,390 251,370 569,430 1,085,850 2,009,190 2,812,938 2,832,342 2,832,354 4,540,446 — unresolved within range

Representations

In words
thirteen thousand two hundred six
Ordinal
13206th
Binary
11001110010110
Octal
31626
Hexadecimal
0x3396
Base64
M5Y=
One's complement
52,329 (16-bit)
In other bases
ternary (3) 200010010
quaternary (4) 3032112
quinary (5) 410311
senary (6) 141050
septenary (7) 53334
nonary (9) 20103
undecimal (11) 9a16
duodecimal (12) 7786
tridecimal (13) 601b
tetradecimal (14) 4b54
pentadecimal (15) 3da6

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγσϛʹ
Mayan (base 20)
𝋡·𝋭·𝋠·𝋦
Chinese
一萬三千二百零六
Chinese (financial)
壹萬參仟貳佰零陸
In other modern scripts
Eastern Arabic ١٣٢٠٦ Devanagari १३२०६ Bengali ১৩২০৬ Tamil ௧௩௨௦௬ Thai ๑๓๒๐๖ Tibetan ༡༣༢༠༦ Khmer ១៣២០៦ Lao ໑໓໒໐໖ Burmese ၁၃၂၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,206 = 1
e — Euler's number (e)
Digit 13,206 = 6
φ — Golden ratio (φ)
Digit 13,206 = 8
√2 — Pythagoras's (√2)
Digit 13,206 = 4
ln 2 — Natural log of 2
Digit 13,206 = 6
γ — Euler-Mascheroni (γ)
Digit 13,206 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13206, here are decompositions:

  • 19 + 13187 = 13206
  • 23 + 13183 = 13206
  • 29 + 13177 = 13206
  • 43 + 13163 = 13206
  • 47 + 13159 = 13206
  • 59 + 13147 = 13206
  • 79 + 13127 = 13206
  • 97 + 13109 = 13206

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Ml
U+3396
Other symbol (So)

UTF-8 encoding: E3 8E 96 (3 bytes).

Hex color
#003396
RGB(0, 51, 150)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.150.

Address
0.0.51.150
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.150

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

Position in π

The digit sequence 13206 first appears in π at position 35,033 of the decimal expansion (the 35,033ordinal-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.