number.wiki
Number

65,535

65535 — Max UInt16

65,535 is a composite number, odd.

65,535 is (2^{16} - 1), the largest unsigned 16-bit integer and the highest port number in TCP/UDP.

Sources https://en.wikipedia.org/wiki/65,535
Arithmetic Number Computing Curated Deficient Number Evil Number Integer Limits Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
24
Digit product
2,250
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
53,556
Recamán's sequence
a(133,781) = 65,535
Square (n²)
4,294,836,225
Cube (n³)
281,462,092,005,375
Divisor count
16
σ(n) — sum of divisors
111,456
φ(n) — Euler's totient
32,768
Sum of prime factors
282

Primality

Prime factorization: 3 × 5 × 17 × 257

Nearest primes: 65,521 (−14) · 65,537 (+2)

Divisors & multiples

All divisors (16)
1 · 3 · 5 · 15 · 17 · 51 · 85 · 255 · 257 · 771 · 1285 · 3855 · 4369 · 13107 · 21845 · 65535
Aliquot sum (sum of proper divisors): 45,921
Factor pairs (a × b = 65,535)
1 × 65535
3 × 21845
5 × 13107
15 × 4369
17 × 3855
51 × 1285
85 × 771
255 × 257
First multiples
65,535 · 131,070 (double) · 196,605 · 262,140 · 327,675 · 393,210 · 458,745 · 524,280 · 589,815 · 655,350

Sums & aliquot sequence

As consecutive integers: 32,767 + 32,768 21,844 + 21,845 + 21,846 13,105 + 13,106 + 13,107 + 13,108 + 13,109 10,920 + 10,921 + 10,922 + 10,923 + 10,924 + 10,925
Aliquot sequence: 65,535 45,921 15,311 313 1 0 — terminates at zero

Representations

In words
sixty-five thousand five hundred thirty-five
Ordinal
65535th
Binary
1111111111111111
Octal
177777
Hexadecimal
0xFFFF
Base64
//8=
One's complement
0 (16-bit)
In other bases
ternary (3) 10022220020
quaternary (4) 33333333
quinary (5) 4044120
senary (6) 1223223
septenary (7) 362031
nonary (9) 108806
undecimal (11) 45268
duodecimal (12) 31b13
tridecimal (13) 23aa2
tetradecimal (14) 19c51
pentadecimal (15) 14640

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ξεφλεʹ
Mayan (base 20)
𝋨·𝋣·𝋰·𝋯
Chinese
六萬五千五百三十五
Chinese (financial)
陸萬伍仟伍佰參拾伍
In other modern scripts
Eastern Arabic ٦٥٥٣٥ Devanagari ६५५३५ Bengali ৬৫৫৩৫ Tamil ௬௫௫௩௫ Thai ๖๕๕๓๕ Tibetan ༦༥༥༣༥ Khmer ៦៥៥៣៥ Lao ໖໕໕໓໕ Burmese ၆၅၅၃၅

Digit at this position in famous constants

π — Pi (π)
Digit 65,535 = 0
e — Euler's number (e)
Digit 65,535 = 3
φ — Golden ratio (φ)
Digit 65,535 = 6
√2 — Pythagoras's (√2)
Digit 65,535 = 6
ln 2 — Natural log of 2
Digit 65,535 = 5
γ — Euler-Mascheroni (γ)
Digit 65,535 = 0

Also seen as

Hex color
#00FFFF
RGB(0, 255, 255)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.255.255.

Address
0.0.255.255
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.255.255

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

Position in π

The digit sequence 65535 first appears in π at position 185,277 of the decimal expansion (the 185,277ordinal-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.