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Number

13,723

13,723 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
126
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
32,731
Recamán's sequence
a(4,142) = 13,723
Square (n²)
188,320,729
Cube (n³)
2,584,325,364,067
Divisor count
2
σ(n) — sum of divisors
13,724
φ(n) — Euler's totient
13,722

Primality

13,723 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13723
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,723)
1 × 13723
First multiples
13,723 · 27,446 (double) · 41,169 · 54,892 · 68,615 · 82,338 · 96,061 · 109,784 · 123,507 · 137,230

Sums & aliquot sequence

As consecutive integers: 6,861 + 6,862

Representations

In words
thirteen thousand seven hundred twenty-three
Ordinal
13723rd
Binary
11010110011011
Octal
32633
Hexadecimal
0x359B
Base64
NZs=
One's complement
51,812 (16-bit)
In other bases
ternary (3) 200211021
quaternary (4) 3112123
quinary (5) 414343
senary (6) 143311
septenary (7) 55003
nonary (9) 20737
undecimal (11) a346
duodecimal (12) 7b37
tridecimal (13) 6328
tetradecimal (14) 5003
pentadecimal (15) 40ed

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιγψκγʹ
Mayan (base 20)
𝋡·𝋮·𝋦·𝋣
Chinese
一萬三千七百二十三
Chinese (financial)
壹萬參仟柒佰貳拾參
In other modern scripts
Eastern Arabic ١٣٧٢٣ Devanagari १३७२३ Bengali ১৩৭২৩ Tamil ௧௩௭௨௩ Thai ๑๓๗๒๓ Tibetan ༡༣༧༢༣ Khmer ១៣៧២៣ Lao ໑໓໗໒໓ Burmese ၁၃၇၂၃

Digit at this position in famous constants

π — Pi (π)
Digit 13,723 = 1
e — Euler's number (e)
Digit 13,723 = 9
φ — Golden ratio (φ)
Digit 13,723 = 9
√2 — Pythagoras's (√2)
Digit 13,723 = 3
ln 2 — Natural log of 2
Digit 13,723 = 5
γ — Euler-Mascheroni (γ)
Digit 13,723 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,721 (gap of 2)
  • Next prime: 13,729 (gap of 6)

Pair status: twin with 13721, sexy with 13729.

Unicode codepoint
CJK Unified Ideograph-359B
U+359B
Other letter (Lo)

UTF-8 encoding: E3 96 9B (3 bytes).

Hex color
#00359B
RGB(0, 53, 155)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.155.

Address
0.0.53.155
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.155

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

Position in π

The digit sequence 13723 first appears in π at position 47,379 of the decimal expansion (the 47,379ordinal-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.