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65,536

65,536 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 Self Number

Properties

Parity
Even
Digit count
5
Digit sum
25
Digit product
2,700
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
63,556
Recamán's sequence
a(133,779) = 65,536
Square (n²)
4,294,967,296
Cube (n³)
281,474,976,710,656
Square root (√n)
256
Divisor count
17
σ(n) — sum of divisors
131,071
φ(n) — Euler's totient
32,768
Sum of prime factors
32

Primality

Prime factorization: 2 16

Nearest primes: 65,521 (−15) · 65,537 (+1)

Divisors & multiples

All divisors (17)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 256 · 512 · 1024 · 2048 · 4096 · 8192 · 16384 · 32768 (half) · 65536
Aliquot sum (sum of proper divisors): 65,535
Factor pairs (a × b = 65,536)
1 × 65536
2 × 32768
4 × 16384
8 × 8192
16 × 4096
32 × 2048
64 × 1024
128 × 512
256 × 256
First multiples
65,536 · 131,072 (double) · 196,608 · 262,144 · 327,680 · 393,216 · 458,752 · 524,288 · 589,824 · 655,360

Sums & aliquot sequence

As a sum of two squares: 0² + 256²
Aliquot sequence: 65,536 65,535 45,921 15,311 313 1 0 — terminates at zero

Representations

In words
sixty-five thousand five hundred thirty-six
Ordinal
65536th
Binary
10000000000000000
Octal
200000
Hexadecimal
0x10000
Base64
AQAA
One's complement
4,294,901,759 (32-bit)
In other bases
ternary (3) 10022220021
quaternary (4) 100000000
quinary (5) 4044121
senary (6) 1223224
septenary (7) 362032
nonary (9) 108807
undecimal (11) 45269
duodecimal (12) 31b14
tridecimal (13) 23aa3
tetradecimal (14) 19c52
pentadecimal (15) 14641

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ξεφλϛʹ
Mayan (base 20)
𝋨·𝋣·𝋰·𝋰
Chinese
六萬五千五百三十六
Chinese (financial)
陸萬伍仟伍佰參拾陸
In other modern scripts
Eastern Arabic ٦٥٥٣٦ Devanagari ६५५३६ Bengali ৬৫৫৩৬ Tamil ௬௫௫௩௬ Thai ๖๕๕๓๖ Tibetan ༦༥༥༣༦ Khmer ៦៥៥៣៦ Lao ໖໕໕໓໖ Burmese ၆၅၅၃၆

Digit at this position in famous constants

π — Pi (π)
Digit 65,536 = 7
e — Euler's number (e)
Digit 65,536 = 9
φ — Golden ratio (φ)
Digit 65,536 = 8
√2 — Pythagoras's (√2)
Digit 65,536 = 6
ln 2 — Natural log of 2
Digit 65,536 = 0
γ — Euler-Mascheroni (γ)
Digit 65,536 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 65536, here are decompositions:

  • 17 + 65519 = 65536
  • 89 + 65447 = 65536
  • 113 + 65423 = 65536
  • 179 + 65357 = 65536
  • 227 + 65309 = 65536
  • 269 + 65267 = 65536
  • 353 + 65183 = 65536
  • 389 + 65147 = 65536

Showing the first eight; more decompositions exist.

Unicode codepoint
𐀀
Linear B Syllable B008 A
U+10000
Other letter (Lo)

UTF-8 encoding: F0 90 80 80 (4 bytes).

Hex color
#010000
RGB(1, 0, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.0.0.

Address
0.1.0.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.0.0

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

Position in π

The digit sequence 65536 first appears in π at position 106,920 of the decimal expansion (the 106,920ordinal-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.