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13,196

13,196 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.).

13,196 (thirteen thousand one hundred ninety-six) is an even 5-digit number. It is a composite number with 6 divisors, and factors as 2² × 3,299. Written other ways, in hexadecimal, 0x338C.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
162
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
69,131
Recamán's sequence
a(47,883) = 13,196
Square (n²)
174,134,416
Cube (n³)
2,297,877,753,536
Divisor count
6
σ(n) — sum of divisors
23,100
φ(n) — Euler's totient
6,596
Sum of prime factors
3,303

Primality

Prime factorization: 2 2 × 3299

Nearest primes: 13,187 (−9) · 13,217 (+21)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 3299 · 6598 (half) · 13196
Aliquot sum (sum of proper divisors): 9,904
Factor pairs (a × b = 13,196)
1 × 13196
2 × 6598
4 × 3299
First multiples
13,196 · 26,392 (double) · 39,588 · 52,784 · 65,980 · 79,176 · 92,372 · 105,568 · 118,764 · 131,960

Sums & aliquot sequence

As consecutive integers: 1,646 + 1,647 + … + 1,653
Aliquot sequence: 13,196 9,904 9,316 8,072 7,078 3,542 3,370 2,714 1,606 1,058 601 1 0 — terminates at zero

Continued fraction of √n

√13,196 = [114; (1, 6, 1, 12, 1, 1, 1, 3, 2, 3, 1, 45, 5, 1, 2, 1, 1, 2, 7, 1, 4, 2, 6, 9, …)]

Representations

In words
thirteen thousand one hundred ninety-six
Ordinal
13196th
Binary
11001110001100
Octal
31614
Hexadecimal
0x338C
Base64
M4w=
One's complement
52,339 (16-bit)
Scientific notation
1.3196 × 10⁴
As a duration
13,196 s = 3 hours, 39 minutes, 56 seconds
In other bases
ternary (3) 200002202
quaternary (4) 3032030
quinary (5) 410241
senary (6) 141032
septenary (7) 53321
nonary (9) 20082
undecimal (11) 9a07
duodecimal (12) 7778
tridecimal (13) 6011
tetradecimal (14) 4b48
pentadecimal (15) 3d9b

As an angle

13,196° = 36 × 360° + 236°
236° ≈ 4.119 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγρϟϛʹ
Mayan (base 20)
𝋡·𝋬·𝋳·𝋰
Chinese
一萬三千一百九十六
Chinese (financial)
壹萬參仟壹佰玖拾陸
In other modern scripts
Eastern Arabic ١٣١٩٦ Devanagari १३१९६ Bengali ১৩১৯৬ Tamil ௧௩௧௯௬ Thai ๑๓๑๙๖ Tibetan ༡༣༡༩༦ Khmer ១៣១៩៦ Lao ໑໓໑໙໖ Burmese ၁၃၁၉၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,196 = 4
e — Euler's number (e)
Digit 13,196 = 4
φ — Golden ratio (φ)
Digit 13,196 = 4
√2 — Pythagoras's (√2)
Digit 13,196 = 2
ln 2 — Natural log of 2
Digit 13,196 = 2
γ — Euler-Mascheroni (γ)
Digit 13,196 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13196, here are decompositions:

  • 13 + 13183 = 13196
  • 19 + 13177 = 13196
  • 37 + 13159 = 13196
  • 97 + 13099 = 13196
  • 103 + 13093 = 13196
  • 163 + 13033 = 13196
  • 193 + 13003 = 13196
  • 223 + 12973 = 13196

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Mu F
U+338C
Other symbol (So)

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

Hex color
#00338C
RGB(0, 51, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.140.

Address
0.0.51.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.140

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

Musical pitch

Heard as a frequency, 13,196 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -12¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +25¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -11¢)
Position in π

The digit sequence 13196 first appears in π at position 114,642 of the decimal expansion (the 114,642ordinal-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.