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Number

13,093

13,093 is a prime, odd.

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
39,031
Recamán's sequence
a(48,089) = 13,093
Square (n²)
171,426,649
Cube (n³)
2,244,489,115,357
Divisor count
2
σ(n) — sum of divisors
13,094
φ(n) — Euler's totient
13,092

Primality

13,093 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13093
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,093)
1 × 13093
First multiples
13,093 · 26,186 (double) · 39,279 · 52,372 · 65,465 · 78,558 · 91,651 · 104,744 · 117,837 · 130,930

Sums & aliquot sequence

As a sum of two squares: 18² + 113²
As consecutive integers: 6,546 + 6,547

Representations

In words
thirteen thousand ninety-three
Ordinal
13093rd
Binary
11001100100101
Octal
31445
Hexadecimal
0x3325
Base64
MyU=
One's complement
52,442 (16-bit)
In other bases
ternary (3) 122221221
quaternary (4) 3030211
quinary (5) 404333
senary (6) 140341
septenary (7) 53113
nonary (9) 18857
undecimal (11) 9923
duodecimal (12) 76b1
tridecimal (13) 5c62
tetradecimal (14) 4ab3
pentadecimal (15) 3d2d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιγϟγʹ
Mayan (base 20)
𝋡·𝋬·𝋮·𝋭
Chinese
一萬三千零九十三
Chinese (financial)
壹萬參仟零玖拾參
In other modern scripts
Eastern Arabic ١٣٠٩٣ Devanagari १३०९३ Bengali ১৩০৯৩ Tamil ௧௩௦௯௩ Thai ๑๓๐๙๓ Tibetan ༡༣༠༩༣ Khmer ១៣០៩៣ Lao ໑໓໐໙໓ Burmese ၁၃၀၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 13,093 = 5
e — Euler's number (e)
Digit 13,093 = 7
φ — Golden ratio (φ)
Digit 13,093 = 2
√2 — Pythagoras's (√2)
Digit 13,093 = 6
ln 2 — Natural log of 2
Digit 13,093 = 3
γ — Euler-Mascheroni (γ)
Digit 13,093 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,063 (gap of 30)
  • Next prime: 13,099 (gap of 6)

Pair status: sexy with 13099.

Unicode codepoint
Square Desi
U+3325
Other symbol (So)

UTF-8 encoding: E3 8C A5 (3 bytes).

Hex color
#003325
RGB(0, 51, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.37.

Address
0.0.51.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.37

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

Position in π

The digit sequence 13093 first appears in π at position 359,585 of the decimal expansion (the 359,585ordinal-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.