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Number

713

713 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 713 AD

Calendar year

Year 713 (DCCXIII) was a common year starting on Sunday of the Julian calendar, the 713th year of the Common Era (CE) and Anno Domini (AD) designations, the 713th year of the 1st millennium, the 13th year of the 8th century, and the 4th year of the 710s decade.

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Historical context — 713 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
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Wednesday
January 1, 713
Ended on
Wednesday
December 31, 713
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
1,313
1313 years before 2026.

In other calendars

Hebrew
4473 / 4474 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
94 / 95 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Ox
Sexagenary cycle position 50 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1256 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
91 / 92 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
705 / 706 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
635 / 634 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
11
Digit product
21
Digital root
2
Palindrome
No
Bit width
10 bits
Reversed
317
Recamán's sequence
a(2,198) = 713
Square (n²)
508,369
Cube (n³)
362,467,097
Divisor count
4
σ(n) — sum of divisors
768
φ(n) — Euler's totient
660
Sum of prime factors
54

Primality

Prime factorization: 23 × 31

Nearest primes: 709 (−4) · 719 (+6)

Divisors & multiples

All divisors (4)
1 · 23 · 31 · 713
Aliquot sum (sum of proper divisors): 55
Factor pairs (a × b = 713)
1 × 713
23 × 31
First multiples
713 · 1,426 (double) · 2,139 · 2,852 · 3,565 · 4,278 · 4,991 · 5,704 · 6,417 · 7,130

Sums & aliquot sequence

As consecutive integers: 356 + 357 20 + 21 + … + 42 8 + 9 + … + 38
Aliquot sequence: 713 55 17 1 0 — terminates at zero

Representations

In words
seven hundred thirteen
Ordinal
713th
Roman numeral
DCCXIII
Binary
1011001001
Octal
1311
Hexadecimal
0x2C9
Base64
Ask=
One's complement
64,822 (16-bit)
In other bases
ternary (3) 222102
quaternary (4) 23021
quinary (5) 10323
senary (6) 3145
septenary (7) 2036
nonary (9) 872
undecimal (11) 599
duodecimal (12) 4b5
tridecimal (13) 42b
tetradecimal (14) 38d
pentadecimal (15) 328

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
ψιγʹ
Mayan (base 20)
𝋡·𝋯·𝋭
Chinese
七百一十三
Chinese (financial)
柒佰壹拾參
In other modern scripts
Eastern Arabic ٧١٣ Devanagari ७१३ Bengali ৭১৩ Tamil ௭௧௩ Thai ๗๑๓ Tibetan ༧༡༣ Khmer ៧១៣ Lao ໗໑໓ Burmese ၇၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 713 = 1
e — Euler's number (e)
Digit 713 = 0
φ — Golden ratio (φ)
Digit 713 = 9
√2 — Pythagoras's (√2)
Digit 713 = 0
ln 2 — Natural log of 2
Digit 713 = 6
γ — Euler-Mascheroni (γ)
Digit 713 = 2

Also seen as

Unicode codepoint
ˉ
Modifier Letter Macron
U+02C9
Modifier letter (Lm)

UTF-8 encoding: CB 89 (2 bytes).

Hex color
#0002C9
RGB(0, 2, 201)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.201.

Address
0.0.2.201
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.201

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

NANP area code 713

The number 713 is an active NANP area code (North American Numbering Plan).

Primary area
Houston
Region
Texas
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.