Number

13,711

13,711 is a prime, odd.

Arithmetic Number Deficient Number Emirp Odious Number Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity: Odd
Digit count: 5
Digit sum: 13
Digit product: 21
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 11,731
Recamán's sequence: a(91,222) = 13,711
Square (n²): 187,991,521
Cube (n³): 2,577,551,744,431
Divisor count: 2
σ(n) — sum of divisors: 13,712
φ(n) — Euler's totient: 13,710

Primality

13,711 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13711

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,711)

1 × 13711

First multiples

13,711 · 27,422 (double) · 41,133 · 54,844 · 68,555 · 82,266 · 95,977 · 109,688 · 123,399 · 137,110

Sums & aliquot sequence

As consecutive integers: 6,855 + 6,856

Representations

In words: thirteen thousand seven hundred eleven
Ordinal: 13711th
Binary: 11010110001111
Octal: 32617
Hexadecimal: 0x358F
Base64: NY8=
One's complement: 51,824 (16-bit)

In other bases

ternary (3) 200210211

quaternary (4) 3112033

quinary (5) 414321

senary (6) 143251

septenary (7) 54655

nonary (9) 20724

undecimal (11) a335

duodecimal (12) 7b27

tridecimal (13) 6319

tetradecimal (14) 4dd5

pentadecimal (15) 40e1

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺
Greek (Milesian): ͵ιγψιαʹ
Mayan (base 20): 𝋡·𝋮·𝋥·𝋫
Chinese: 一萬三千七百一十一
Chinese (financial): 壹萬參仟柒佰壹拾壹

In other modern scripts

Eastern Arabic ١٣٧١١ Devanagari १३७११ Bengali ১৩৭১১ Tamil ௧௩௭௧௧ Thai ๑๓๗๑๑ Tibetan ༡༣༧༡༡ Khmer ១៣៧១១ Lao ໑໓໗໑໑ Burmese ၁၃၇၁၁

Digit at this position in famous constants

π — Pi (π): Digit 13,711 = 1
e — Euler's number (e): Digit 13,711 = 6
φ — Golden ratio (φ): Digit 13,711 = 6
√2 — Pythagoras's (√2): Digit 13,711 = 4
ln 2 — Natural log of 2: Digit 13,711 = 9
γ — Euler-Mascheroni (γ): Digit 13,711 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,709 (gap of 2)
Next prime: 13,721 (gap of 10)

Pair status: twin with 13709.

Unicode codepoint

㖏

CJK Unified Ideograph-358F

U+358F

Other letter (Lo)

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

Lookup U+358F on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00358F

RGB(0, 53, 143)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.143.

Address: 0.0.53.143
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.53.143

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

Position in π

The digit sequence 13711 first appears in π at position 115,429 of the decimal expansion (the 115,429ordinal-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.

Look up 13711 on Pi Search ↗