number.wiki
Number

13,681

13,681 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
19
Digit product
144
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
18,631
Recamán's sequence
a(91,282) = 13,681
Square (n²)
187,169,761
Cube (n³)
2,560,669,500,241
Divisor count
2
σ(n) — sum of divisors
13,682
φ(n) — Euler's totient
13,680

Primality

13,681 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13681
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,681)
1 × 13681
First multiples
13,681 · 27,362 (double) · 41,043 · 54,724 · 68,405 · 82,086 · 95,767 · 109,448 · 123,129 · 136,810

Sums & aliquot sequence

As a sum of two squares: 15² + 116²
As consecutive integers: 6,840 + 6,841

Representations

In words
thirteen thousand six hundred eighty-one
Ordinal
13681st
Binary
11010101110001
Octal
32561
Hexadecimal
0x3571
Base64
NXE=
One's complement
51,854 (16-bit)
In other bases
ternary (3) 200202201
quaternary (4) 3111301
quinary (5) 414211
senary (6) 143201
septenary (7) 54613
nonary (9) 20681
undecimal (11) a308
duodecimal (12) 7b01
tridecimal (13) 62c5
tetradecimal (14) 4db3
pentadecimal (15) 40c1

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιγχπαʹ
Mayan (base 20)
𝋡·𝋮·𝋤·𝋡
Chinese
一萬三千六百八十一
Chinese (financial)
壹萬參仟陸佰捌拾壹
In other modern scripts
Eastern Arabic ١٣٦٨١ Devanagari १३६८१ Bengali ১৩৬৮১ Tamil ௧௩௬௮௧ Thai ๑๓๖๘๑ Tibetan ༡༣༦༨༡ Khmer ១៣៦៨១ Lao ໑໓໖໘໑ Burmese ၁၃၆၈၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,681 = 7
e — Euler's number (e)
Digit 13,681 = 1
φ — Golden ratio (φ)
Digit 13,681 = 4
√2 — Pythagoras's (√2)
Digit 13,681 = 1
ln 2 — Natural log of 2
Digit 13,681 = 8
γ — Euler-Mascheroni (γ)
Digit 13,681 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,679 (gap of 2)
  • Next prime: 13,687 (gap of 6)

Pair status: twin with 13679, sexy with 13687.

Unicode codepoint
CJK Unified Ideograph-3571
U+3571
Other letter (Lo)

UTF-8 encoding: E3 95 B1 (3 bytes).

Hex color
#003571
RGB(0, 53, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.113.

Address
0.0.53.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.113

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

Position in π

The digit sequence 13681 first appears in π at position 101,807 of the decimal expansion (the 101,807ordinal-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.