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13,193

13,193 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.).

13,193 (thirteen thousand one hundred ninety-three) is an odd 5-digit number. It is a composite number with 4 divisors, and factors as 79 × 167. Written other ways, in hexadecimal, 0x3389.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
81
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
39,131
Recamán's sequence
a(47,889) = 13,193
Square (n²)
174,055,249
Cube (n³)
2,296,310,900,057
Divisor count
4
σ(n) — sum of divisors
13,440
φ(n) — Euler's totient
12,948
Sum of prime factors
246

Primality

Prime factorization: 79 × 167

Nearest primes: 13,187 (−6) · 13,217 (+24)

Divisors & multiples

All divisors (4)
1 · 79 · 167 · 13193
Aliquot sum (sum of proper divisors): 247
Factor pairs (a × b = 13,193)
1 × 13193
79 × 167
First multiples
13,193 · 26,386 (double) · 39,579 · 52,772 · 65,965 · 79,158 · 92,351 · 105,544 · 118,737 · 131,930

Sums & aliquot sequence

As consecutive integers: 6,596 + 6,597 128 + 129 + … + 206 5 + 6 + … + 162
Aliquot sequence: 13,193 247 33 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√13,193 = [114; (1, 6, 5, 2, 5, 1, 3, 20, 1, 1, 1, 1, 1, 11, 2, 6, 1, 13, 2, 28, 4, 3, 2, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand one hundred ninety-three
Ordinal
13193rd
Binary
11001110001001
Octal
31611
Hexadecimal
0x3389
Base64
M4k=
One's complement
52,342 (16-bit)
Scientific notation
1.3193 × 10⁴
As a duration
13,193 s = 3 hours, 39 minutes, 53 seconds
In other bases
ternary (3) 200002122
quaternary (4) 3032021
quinary (5) 410233
senary (6) 141025
septenary (7) 53315
nonary (9) 20078
undecimal (11) 9a04
duodecimal (12) 7775
tridecimal (13) 600b
tetradecimal (14) 4b45
pentadecimal (15) 3d98

As an angle

13,193° = 36 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιγρϟγʹ
Mayan (base 20)
𝋡·𝋬·𝋳·𝋭
Chinese
一萬三千一百九十三
Chinese (financial)
壹萬參仟壹佰玖拾參
In other modern scripts
Eastern Arabic ١٣١٩٣ Devanagari १३१९३ Bengali ১৩১৯৩ Tamil ௧௩௧௯௩ Thai ๑๓๑๙๓ Tibetan ༡༣༡༩༣ Khmer ១៣១៩៣ Lao ໑໓໑໙໓ Burmese ၁၃၁၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 13,193 = 1
e — Euler's number (e)
Digit 13,193 = 8
φ — Golden ratio (φ)
Digit 13,193 = 4
√2 — Pythagoras's (√2)
Digit 13,193 = 2
ln 2 — Natural log of 2
Digit 13,193 = 6
γ — Euler-Mascheroni (γ)
Digit 13,193 = 4

Also seen as

Unicode codepoint
Square Kcal
U+3389
Other symbol (So)

UTF-8 encoding: E3 8E 89 (3 bytes).

Hex color
#003389
RGB(0, 51, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.137.

Address
0.0.51.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.137

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

Musical pitch

Heard as a frequency, 13,193 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -13¢)
  • 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 13193 first appears in π at position 178,738 of the decimal expansion (the 178,738ordinal-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.