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Number

13,309

13,309 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
90,331
Recamán's sequence
a(47,657) = 13,309
Square (n²)
177,129,481
Cube (n³)
2,357,416,262,629
Divisor count
2
σ(n) — sum of divisors
13,310
φ(n) — Euler's totient
13,308

Primality

13,309 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13309
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,309)
1 × 13309
First multiples
13,309 · 26,618 (double) · 39,927 · 53,236 · 66,545 · 79,854 · 93,163 · 106,472 · 119,781 · 133,090

Sums & aliquot sequence

As a sum of two squares: 78² + 85²
As consecutive integers: 6,654 + 6,655

Representations

In words
thirteen thousand three hundred nine
Ordinal
13309th
Binary
11001111111101
Octal
31775
Hexadecimal
0x33FD
Base64
M/0=
One's complement
52,226 (16-bit)
In other bases
ternary (3) 200020221
quaternary (4) 3033331
quinary (5) 411214
senary (6) 141341
septenary (7) 53542
nonary (9) 20227
undecimal (11) 9aaa
duodecimal (12) 7851
tridecimal (13) 609a
tetradecimal (14) 4bc9
pentadecimal (15) 3e24

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγτθʹ
Mayan (base 20)
𝋡·𝋭·𝋥·𝋩
Chinese
一萬三千三百零九
Chinese (financial)
壹萬參仟參佰零玖
In other modern scripts
Eastern Arabic ١٣٣٠٩ Devanagari १३३०९ Bengali ১৩৩০৯ Tamil ௧௩௩௦௯ Thai ๑๓๓๐๙ Tibetan ༡༣༣༠༩ Khmer ១៣៣០៩ Lao ໑໓໓໐໙ Burmese ၁၃၃၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 13,309 = 3
e — Euler's number (e)
Digit 13,309 = 1
φ — Golden ratio (φ)
Digit 13,309 = 0
√2 — Pythagoras's (√2)
Digit 13,309 = 0
ln 2 — Natural log of 2
Digit 13,309 = 5
γ — Euler-Mascheroni (γ)
Digit 13,309 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,297 (gap of 12)
  • Next prime: 13,313 (gap of 4)

Pair status: cousin with 13313.

Unicode codepoint
Ideographic Telegraph Symbol For Day Thirty
U+33FD
Other symbol (So)

UTF-8 encoding: E3 8F BD (3 bytes).

Hex color
#0033FD
RGB(0, 51, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.253.

Address
0.0.51.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.253

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

Position in π

The digit sequence 13309 first appears in π at position 142,646 of the decimal expansion (the 142,646ordinal-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.