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Number

13,729

13,729 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
22
Digit product
378
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
92,731
Recamán's sequence
a(21,258) = 13,729
Square (n²)
188,485,441
Cube (n³)
2,587,716,619,489
Divisor count
2
σ(n) — sum of divisors
13,730
φ(n) — Euler's totient
13,728

Primality

13,729 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13729
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,729)
1 × 13729
First multiples
13,729 · 27,458 (double) · 41,187 · 54,916 · 68,645 · 82,374 · 96,103 · 109,832 · 123,561 · 137,290

Sums & aliquot sequence

As a sum of two squares: 52² + 105²
As consecutive integers: 6,864 + 6,865

Representations

In words
thirteen thousand seven hundred twenty-nine
Ordinal
13729th
Binary
11010110100001
Octal
32641
Hexadecimal
0x35A1
Base64
NaE=
One's complement
51,806 (16-bit)
In other bases
ternary (3) 200211111
quaternary (4) 3112201
quinary (5) 414404
senary (6) 143321
septenary (7) 55012
nonary (9) 20744
undecimal (11) a351
duodecimal (12) 7b41
tridecimal (13) 6331
tetradecimal (14) 5009
pentadecimal (15) 4104

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγψκθʹ
Mayan (base 20)
𝋡·𝋮·𝋦·𝋩
Chinese
一萬三千七百二十九
Chinese (financial)
壹萬參仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ١٣٧٢٩ Devanagari १३७२९ Bengali ১৩৭২৯ Tamil ௧௩௭௨௯ Thai ๑๓๗๒๙ Tibetan ༡༣༧༢༩ Khmer ១៣៧២៩ Lao ໑໓໗໒໙ Burmese ၁၃၇၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 13,729 = 0
e — Euler's number (e)
Digit 13,729 = 9
φ — Golden ratio (φ)
Digit 13,729 = 9
√2 — Pythagoras's (√2)
Digit 13,729 = 0
ln 2 — Natural log of 2
Digit 13,729 = 8
γ — Euler-Mascheroni (γ)
Digit 13,729 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,723 (gap of 6)
  • Next prime: 13,751 (gap of 22)

Pair status: sexy with 13723.

Unicode codepoint
CJK Unified Ideograph-35A1
U+35A1
Other letter (Lo)

UTF-8 encoding: E3 96 A1 (3 bytes).

Hex color
#0035A1
RGB(0, 53, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.161.

Address
0.0.53.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.161

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

Position in π

The digit sequence 13729 first appears in π at position 159,246 of the decimal expansion (the 159,246ordinal-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.