Number

1,716

1,716 is a composite number, even, a calendar year.

1,716 (one thousand seven hundred sixteen) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 13. Its proper divisors sum to 2,988, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCCXVI and in binary, 11010110100.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,704 1,705 1,706 1,707 1,708 1,709 1,710 1,711 1,712 1,713 1,714 1,715 1,716 1,717 1,718 1,719 1,720 1,721 1,722 1,723 1,724 1,725 1,726 1,727 1,728

less more

Notable events — 1716 AD

May 17 Holy Roman troops defeat the Ottomans at Petrovaradin.
Sep 18 Pope Clement XI issues the Mahomet bull against Jansenism.
Aug 5 Eugene of Savoy lifts the Siege of Corfu, halting the Ottoman advance.

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: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 1716
Ended on: Thursday
December 31, 1716
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: April 12
Sunday, April 12, 1716
Decade: 1710s
1710–1719
Century: 18th century
1701–1800
Millennium: 2nd millennium
1001–2000
Years ago: 310
310 years before 2026.

In other calendars

Hebrew: 5476 / 5477 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1128 / 1129 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2259 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1094 / 1095 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1708 / 1709 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1638 / 1637 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 42
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 6,171
Recamán's sequence: a(1,172) = 1,716
Square (n²): 2,944,656
Cube (n³): 5,053,029,696
Divisor count: 24
σ(n) — sum of divisors: 4,704
φ(n) — Euler's totient: 480
Sum of prime factors: 31

Primality

Prime factorization: 2 ² × 3 × 11 × 13

Nearest primes: 1,709 (−7) · 1,721 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 11 · 12 · 13 · 22 · 26 · 33 · 39 · 44 · 52 · 66 · 78 · 132 · 143 · 156 · 286 · 429 · 572 · 858 (half) · 1716

Aliquot sum (sum of proper divisors): 2,988

Factor pairs (a × b = 1,716)

1 × 1716

2 × 858

3 × 572

4 × 429

6 × 286

11 × 156

12 × 143

13 × 132

22 × 78

26 × 66

33 × 52

39 × 44

First multiples

1,716 · 3,432 (double) · 5,148 · 6,864 · 8,580 · 10,296 · 12,012 · 13,728 · 15,444 · 17,160

Sums & aliquot sequence

As consecutive integers: 571 + 572 + 573 211 + 212 + … + 218 151 + 152 + … + 161 126 + 127 + … + 138

Aliquot sequence: 1,716 → 2,988 → 4,656 → 7,496 → 6,574 → 3,866 → 1,936 → 2,187 → 1,093 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,716 = [41; (2, 2, 1, 4, 2, 6, 2, 4, 1, 2, 2, 82)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one thousand seven hundred sixteen
Ordinal: 1716th
Roman numeral: MDCCXVI
Binary: 11010110100
Octal: 3264
Hexadecimal: 0x6B4
Base64: BrQ=
One's complement: 63,819 (16-bit)
Scientific notation: 1.716 × 10³
As a duration: 1,716 s = 28 minutes, 36 seconds

In other bases

ternary (3) 2100120

quaternary (4) 122310

quinary (5) 23331

senary (6) 11540

septenary (7) 5001

nonary (9) 2316

undecimal (11) 1320

duodecimal (12) bb0

tridecimal (13) a20

tetradecimal (14) 8a8

pentadecimal (15) 796

Palindromic in base 14

As an angle

1,716° = 4 × 360° + 276°

276° ≈ 4.817 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αψιϛʹ
Mayan (base 20): 𝋤·𝋥·𝋰
Chinese: 一千七百一十六
Chinese (financial): 壹仟柒佰壹拾陸

In other modern scripts

Eastern Arabic ١٧١٦ Devanagari १७१६ Bengali ১৭১৬ Tamil ௧௭௧௬ Thai ๑๗๑๖ Tibetan ༡༧༡༦ Khmer ១៧១៦ Lao ໑໗໑໖ Burmese ၁၇၁၆

Digit at this position in famous constants

π — Pi (π): Digit 1,716 = 1
e — Euler's number (e): Digit 1,716 = 4
φ — Golden ratio (φ): Digit 1,716 = 6
√2 — Pythagoras's (√2): Digit 1,716 = 0
ln 2 — Natural log of 2: Digit 1,716 = 5
γ — Euler-Mascheroni (γ): Digit 1,716 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1716, here are decompositions:

7 + 1709 = 1716
17 + 1699 = 1716
19 + 1697 = 1716
23 + 1693 = 1716
47 + 1669 = 1716
53 + 1663 = 1716
59 + 1657 = 1716
79 + 1637 = 1716

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Gaf With Three Dots Above

U+06B4

Other letter (Lo)

UTF-8 encoding: DA B4 (2 bytes).

Lookup U+06B4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0006B4

RGB(0, 6, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.180.

Address: 0.0.6.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.180

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

Musical pitch

Heard as a frequency, 1,716 Hz is closest to:

Concert pitch (A4 = 440 Hz): A6 (1760 Hz, -44¢)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, -6¢)
Baroque pitch (A4 = 415 Hz): A♯6 (1758.7 Hz, -43¢)

Position in π

The digit sequence 1716 first appears in π at position 17,654 of the decimal expansion (the 17,654ordinal-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 1716 on Pi Search ↗