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Number

1,616

1,616 is a composite number, even, a calendar year.

Deficient Number Evil Number Flippable Gapful Number Recamán's Sequence Self Number Year

Notable events — 1616 AD

  1. Apr 23 William Shakespeare and Miguel de Cervantes both die within days of each other.
  2. Feb 26 Galileo is warned by the Roman Inquisition not to teach heliocentrism.
  3. Aug 5 William Baffin explores the bay now bearing his name.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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, 1616
Ended on
Saturday
December 31, 1616
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 3
Sunday, April 3, 1616
Decade
1610s
1610–1619
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
410
410 years before 2026.

In other calendars

Hebrew
5376 / 5377 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1024 / 1025 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Dragon
Sexagenary cycle position 53 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2159 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
994 / 995 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1608 / 1609 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1538 / 1537 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
36
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
6,161
Flips to (rotate 180°)
9,191
Recamán's sequence
a(720) = 1,616
Square (n²)
2,611,456
Cube (n³)
4,220,112,896
Divisor count
10
σ(n) — sum of divisors
3,162
φ(n) — Euler's totient
800
Sum of prime factors
109

Primality

Prime factorization: 2 4 × 101

Nearest primes: 1,613 (−3) · 1,619 (+3)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 101 · 202 · 404 · 808 (half) · 1616
Aliquot sum (sum of proper divisors): 1,546
Factor pairs (a × b = 1,616)
1 × 1616
2 × 808
4 × 404
8 × 202
16 × 101
First multiples
1,616 · 3,232 (double) · 4,848 · 6,464 · 8,080 · 9,696 · 11,312 · 12,928 · 14,544 · 16,160

Sums & aliquot sequence

As a sum of two squares: 4² + 40²
As consecutive integers: 35 + 36 + … + 66
Aliquot sequence: 1,616 1,546 776 694 350 394 200 265 59 1 0 — terminates at zero

Representations

In words
one thousand six hundred sixteen
Ordinal
1616th
Roman numeral
MDCXVI
Binary
11001010000
Octal
3120
Hexadecimal
0x650
Base64
BlA=
One's complement
63,919 (16-bit)
In other bases
ternary (3) 2012212
quaternary (4) 121100
quinary (5) 22431
senary (6) 11252
septenary (7) 4466
nonary (9) 2185
undecimal (11) 123a
duodecimal (12) b28
tridecimal (13) 974
tetradecimal (14) 836
pentadecimal (15) 72b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχιϛʹ
Mayan (base 20)
𝋤·𝋠·𝋰
Chinese
一千六百一十六
Chinese (financial)
壹仟陸佰壹拾陸
In other modern scripts
Eastern Arabic ١٦١٦ Devanagari १६१६ Bengali ১৬১৬ Tamil ௧௬௧௬ Thai ๑๖๑๖ Tibetan ༡༦༡༦ Khmer ១៦១៦ Lao ໑໖໑໖ Burmese ၁၆၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,616 = 2
e — Euler's number (e)
Digit 1,616 = 7
φ — Golden ratio (φ)
Digit 1,616 = 1
√2 — Pythagoras's (√2)
Digit 1,616 = 8
ln 2 — Natural log of 2
Digit 1,616 = 9
γ — Euler-Mascheroni (γ)
Digit 1,616 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1616, here are decompositions:

  • 3 + 1613 = 1616
  • 7 + 1609 = 1616
  • 19 + 1597 = 1616
  • 37 + 1579 = 1616
  • 67 + 1549 = 1616
  • 73 + 1543 = 1616
  • 127 + 1489 = 1616
  • 157 + 1459 = 1616

Showing the first eight; more decompositions exist.

Unicode codepoint
ِ
Arabic Kasra
U+0650
Non-spacing mark (Mn)

UTF-8 encoding: D9 90 (2 bytes).

Hex color
#000650
RGB(0, 6, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.80.

Address
0.0.6.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.80

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

Position in π

The digit sequence 1616 first appears in π at position 8,200 of the decimal expansion (the 8,200ordinal-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.