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Number

716

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

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Self Number Year

Historical context — 716 AD

Calendar year

Year 716 (DCCXVI) was a leap year starting on Wednesday of the Julian calendar, the 716th year of the Common Era (CE) and Anno Domini (AD) designations, the 716th year of the 1st millennium, the 16th year of the 8th century, and the 7th year of the 710s decade.

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Historical context — 716 BC

Decade

This article concerns the period 719 BC – 710 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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
Saturday
January 1, 716
Ended on
Sunday
December 31, 716
Friday the 13ths
1
One Friday the 13th this year.
Decade
710s
710–719
Century
8th century
701–800
Millennium
1st millennium
1–1000
Years ago
1,310
1310 years before 2026.

In other calendars

Hebrew
4476 / 4477 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
97 / 98 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
1259 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
94 / 95 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
708 / 709 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
638 / 637 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
14
Digit product
42
Digital root
5
Palindrome
No
Bit width
10 bits
Reversed
617
Recamán's sequence
a(2,192) = 716
Square (n²)
512,656
Cube (n³)
367,061,696
Divisor count
6
σ(n) — sum of divisors
1,260
φ(n) — Euler's totient
356
Sum of prime factors
183

Primality

Prime factorization: 2 2 × 179

Nearest primes: 709 (−7) · 719 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 179 · 358 (half) · 716
Aliquot sum (sum of proper divisors): 544
Factor pairs (a × b = 716)
1 × 716
2 × 358
4 × 179
First multiples
716 · 1,432 (double) · 2,148 · 2,864 · 3,580 · 4,296 · 5,012 · 5,728 · 6,444 · 7,160

Sums & aliquot sequence

As consecutive integers: 86 + 87 + … + 93
Aliquot sequence: 716 544 590 490 536 484 447 153 81 40 50 43 1 0 — terminates at zero

Representations

In words
seven hundred sixteen
Ordinal
716th
Roman numeral
DCCXVI
Binary
1011001100
Octal
1314
Hexadecimal
0x2CC
Base64
Asw=
One's complement
64,819 (16-bit)
In other bases
ternary (3) 222112
quaternary (4) 23030
quinary (5) 10331
senary (6) 3152
septenary (7) 2042
nonary (9) 875
undecimal (11) 5a1
duodecimal (12) 4b8
tridecimal (13) 431
tetradecimal (14) 392
pentadecimal (15) 32b

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ψιϛʹ
Mayan (base 20)
𝋡·𝋯·𝋰
Chinese
七百一十六
Chinese (financial)
柒佰壹拾陸
In other modern scripts
Eastern Arabic ٧١٦ Devanagari ७१६ Bengali ৭১৬ Tamil ௭௧௬ Thai ๗๑๖ Tibetan ༧༡༦ Khmer ៧១៦ Lao ໗໑໖ Burmese ၇၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 716 = 0
e — Euler's number (e)
Digit 716 = 6
φ — Golden ratio (φ)
Digit 716 = 4
√2 — Pythagoras's (√2)
Digit 716 = 1
ln 2 — Natural log of 2
Digit 716 = 7
γ — Euler-Mascheroni (γ)
Digit 716 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 716, here are decompositions:

  • 7 + 709 = 716
  • 43 + 673 = 716
  • 73 + 643 = 716
  • 97 + 619 = 716
  • 103 + 613 = 716
  • 109 + 607 = 716
  • 139 + 577 = 716
  • 193 + 523 = 716

Showing the first eight; more decompositions exist.

Unicode codepoint
ˌ
Modifier Letter Low Vertical Line
U+02CC
Modifier letter (Lm)

UTF-8 encoding: CB 8C (2 bytes).

Hex color
#0002CC
RGB(0, 2, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.204.

Address
0.0.2.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.204

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

NANP area code 716

The number 716 is an active NANP area code (North American Numbering Plan).

Primary area
Buffalo / Niagara Falls
Region
New York
Country
United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.