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16,384

16,384 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Deficient Number Odious Number Perfect Square Power of Two Powerful Number Practical Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
576
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
48,361
Recamán's sequence
a(17,944) = 16,384
Square (n²)
268,435,456
Cube (n³)
4,398,046,511,104
Square root (√n)
128
Divisor count
15
σ(n) — sum of divisors
32,767
φ(n) — Euler's totient
8,192
Sum of prime factors
28

Primality

Prime factorization: 2 14

Nearest primes: 16,381 (−3) · 16,411 (+27)

Divisors & multiples

All divisors (15)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 256 · 512 · 1024 · 2048 · 4096 · 8192 (half) · 16384
Aliquot sum (sum of proper divisors): 16,383
Factor pairs (a × b = 16,384)
1 × 16384
2 × 8192
4 × 4096
8 × 2048
16 × 1024
32 × 512
64 × 256
128 × 128
First multiples
16,384 · 32,768 (double) · 49,152 · 65,536 · 81,920 · 98,304 · 114,688 · 131,072 · 147,456 · 163,840

Sums & aliquot sequence

As a sum of two squares: 0² + 128²
Aliquot sequence: 16,384 16,383 6,145 1,235 445 95 25 6 6 — reaches a perfect number

Representations

In words
sixteen thousand three hundred eighty-four
Ordinal
16384th
Binary
100000000000000
Octal
40000
Hexadecimal
0x4000
Base64
QAA=
One's complement
49,151 (16-bit)
In other bases
ternary (3) 211110211
quaternary (4) 10000000
quinary (5) 1011014
senary (6) 203504
septenary (7) 65524
nonary (9) 24424
undecimal (11) 11345
duodecimal (12) 9594
tridecimal (13) 75c4
tetradecimal (14) 5d84
pentadecimal (15) 4cc4

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϛτπδʹ
Mayan (base 20)
𝋢·𝋠·𝋳·𝋤
Chinese
一萬六千三百八十四
Chinese (financial)
壹萬陸仟參佰捌拾肆
In other modern scripts
Eastern Arabic ١٦٣٨٤ Devanagari १६३८४ Bengali ১৬৩৮৪ Tamil ௧௬௩௮௪ Thai ๑๖๓๘๔ Tibetan ༡༦༣༨༤ Khmer ១៦៣៨៤ Lao ໑໖໓໘໔ Burmese ၁၆၃၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 16,384 = 5
e — Euler's number (e)
Digit 16,384 = 2
φ — Golden ratio (φ)
Digit 16,384 = 7
√2 — Pythagoras's (√2)
Digit 16,384 = 0
ln 2 — Natural log of 2
Digit 16,384 = 9
γ — Euler-Mascheroni (γ)
Digit 16,384 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16384, here are decompositions:

  • 3 + 16381 = 16384
  • 23 + 16361 = 16384
  • 83 + 16301 = 16384
  • 131 + 16253 = 16384
  • 167 + 16217 = 16384
  • 191 + 16193 = 16384
  • 197 + 16187 = 16384
  • 257 + 16127 = 16384

Showing the first eight; more decompositions exist.

Unicode codepoint
䀀
CJK Unified Ideograph-4000
U+4000
Other letter (Lo)

UTF-8 encoding: E4 80 80 (3 bytes).

Hex color
#004000
RGB(0, 64, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.64.0.

Address
0.0.64.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.64.0

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

Position in π

The digit sequence 16384 first appears in π at position 37,619 of the decimal expansion (the 37,619ordinal-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.