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Number

16

16 is a composite number, even, a calendar year.

16 (sixteen) is an even 2-digit number. It is a composite number with 5 divisors, and factors as 2⁴. It is a perfect square (4²) and a power of two (2⁴). Written other ways, in Roman numerals it is XVI and in binary, 10000.

Deficient Number Flippable Highly Abundant Lazy Caterer Number Odious Number Padovan Number Perfect Square Power of Two Powerful Number Practical Number Preferred Number Recamán's Sequence Superperfect Number Year

Interestingness

11 notable facts · grade A
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Historical context — 16 AD

Calendar year

AD 16 (XVI) was a leap year starting on Wednesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 16 BC

Calendar year

Year 16 BC was either a common year starting on Monday, Tuesday or Wednesday or a leap year starting on Monday or Tuesday of the Julian calendar and a common year starting on Sunday of the Proleptic Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Friday
January 1, 16
Ended on
Saturday
December 31, 16
Friday the 13ths
1
One Friday the 13th this year.
Decade
10s
10–19
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
2,010
2010 years before 2026.

In other calendars

Hebrew
3776 / 3777 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Fire zodiac:Rat
Sexagenary cycle position 13 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
559 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
8 / 9 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
-62 / -63 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
2
Digit sum
7
Digit product
6
Digital root
7
Palindrome
No
Bit width
5 bits
Reversed
61
Flips to (rotate 180°)
91
Recamán's sequence
a(27) = 16
Square (n²)
256
Cube (n³)
4,096
Square root (√n)
4
Divisor count
5
σ(n) — sum of divisors
31
φ(n) — Euler's totient
8
Sum of prime factors
8

Primality

Prime factorization: 2 4

Nearest primes: 13 (−3) · 17 (+1)

Divisors & multiples

All divisors (5)
1 · 2 · 4 · 8 (half) · 16
Aliquot sum (sum of proper divisors): 15
Factor pairs (a × b = 16)
1 × 16
2 × 8
4 × 4
First multiples
16 · 32 (double) · 48 · 64 · 80 · 96 · 112 · 128 · 144 · 160

Sums & aliquot sequence

As a sum of two squares: 0² + 4²
As a sum of two cubes: 2³ + 2³
Aliquot sequence: 16 15 9 4 3 1 0 — terminates at zero

Representations

In words
sixteen
Ordinal
16th
Roman numeral
XVI
Binary
10000
Octal
20
Hexadecimal
0x10
Base64
EA==
One's complement
239 (8-bit)
Scientific notation
1.6 × 10¹
In other bases
ternary (3) 121
quaternary (4) 100
quinary (5) 31
senary (6) 24
septenary (7) 22
nonary (9) 17
undecimal (11) 15
duodecimal (12) 14
tridecimal (13) 13
tetradecimal (14) 12
pentadecimal (15) 11
Palindromic in base 3

As an angle

16°
16° ≈ 0.279 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ιϛʹ
Mayan (base 20)
𝋰
Chinese
一十六
Chinese (financial)
壹拾陸
In other modern scripts
Eastern Arabic ١٦ Devanagari १६ Bengali ১৬ Tamil ௧௬ Thai ๑๖ Tibetan ༡༦ Khmer ១៦ Lao ໑໖ Burmese ၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 16 = 3
e — Euler's number (e)
Digit 16 = 5
φ — Golden ratio (φ)
Digit 16 = 4
√2 — Pythagoras's (√2)
Digit 16 = 5
ln 2 — Natural log of 2
Digit 16 = 5
γ — Euler-Mascheroni (γ)
Digit 16 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16, here are decompositions:

  • 3 + 13 = 16
  • 5 + 11 = 16
ASCII character

As an ASCII codepoint, 16 is control character (0x10). ASCII control character.

Hex color
#000010
RGB(0, 0, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.16.

Address
0.0.0.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.16

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

US numbered highway

Matches numbered highway designation:

  • I-16 — Macon to Savannah, GA.
Musical pitch

Heard as a frequency, 16 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C0 (16.4 Hz, -38¢)
  • Scientific pitch (C4 = 256 Hz): C0 (16 Hz, exact)
  • Baroque pitch (A4 = 415 Hz): C♯0 (16.3 Hz, -36¢)
(below the ~20 Hz floor of human hearing — likely inaudible)

As a MIDI note number, 16 is E0 (20.6 Hz at concert pitch). (very low — many laptop and phone speakers can't reproduce it)

Atomic number

On the periodic table, atomic number 16 is Sulfur (S) — period 3.

Related reading