Number

1,616

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

1,616 (one thousand six hundred sixteen) is an even 4-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 101. Written other ways, in Roman numerals it is MDCXVI and in binary, 11001010000.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,604 1,605 1,606 1,607 1,608 1,609 1,610 1,611 1,612 1,613 1,614 1,615 1,616 1,617 1,618 1,619 1,620 1,621 1,622 1,623 1,624 1,625 1,626 1,627 1,628

less more

Notable events — 1616 AD

Apr 23 William Shakespeare and Miguel de Cervantes both die within days of each other.
Feb 26 Galileo is warned by the Roman Inquisition not to teach heliocentrism.
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

Continued fraction of √n

√1,616 = [40; (5, 80)]

Period length 2 — the block in parentheses repeats forever.

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)
Scientific notation: 1.616 × 10³
As a duration: 1,616 s = 26 minutes, 56 seconds

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

As an angle

1,616° = 4 × 360° + 176°

176° ≈ 3.072 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

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).

Lookup U+0650 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,616 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, -48¢ — about midway to G6)
Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, -10¢)
Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, -47¢ — about midway to G♯6)

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.

Look up 1616 on Pi Search ↗