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Number

1,713

1,713 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

Notable events — 1713 AD

  1. Apr 11 The Treaty of Utrecht ends most of the War of the Spanish Succession.
  2. Feb 25 Frederick William I becomes king in Prussia.
  3. Sep 8 Pope Clement XI's Unigenitus condemns Jansenism.

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

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
Sunday
January 1, 1713
Ended on
Sunday
December 31, 1713
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 16
Sunday, April 16, 1713
Decade
1710s
1710–1719
Century
18th century
1701–1800
Millennium
2nd millennium
1001–2000
Years ago
313
313 years before 2026.

In other calendars

Hebrew
5473 / 5474 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1124 / 1125 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Snake
Sexagenary cycle position 30 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2256 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1091 / 1092 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1705 / 1706 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1635 / 1634 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
12
Digit product
21
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
3,171
Recamán's sequence
a(1,166) = 1,713
Square (n²)
2,934,369
Cube (n³)
5,026,574,097
Divisor count
4
σ(n) — sum of divisors
2,288
φ(n) — Euler's totient
1,140
Sum of prime factors
574

Primality

Prime factorization: 3 × 571

Nearest primes: 1,709 (−4) · 1,721 (+8)

Divisors & multiples

All divisors (4)
1 · 3 · 571 · 1713
Aliquot sum (sum of proper divisors): 575
Factor pairs (a × b = 1,713)
1 × 1713
3 × 571
First multiples
1,713 · 3,426 (double) · 5,139 · 6,852 · 8,565 · 10,278 · 11,991 · 13,704 · 15,417 · 17,130

Sums & aliquot sequence

As consecutive integers: 856 + 857 570 + 571 + 572 283 + 284 + 285 + 286 + 287 + 288
Aliquot sequence: 1,713 575 169 14 10 8 7 1 0 — terminates at zero

Representations

In words
one thousand seven hundred thirteen
Ordinal
1713th
Roman numeral
MDCCXIII
Binary
11010110001
Octal
3261
Hexadecimal
0x6B1
Base64
BrE=
One's complement
63,822 (16-bit)
In other bases
ternary (3) 2100110
quaternary (4) 122301
quinary (5) 23323
senary (6) 11533
septenary (7) 4665
nonary (9) 2313
undecimal (11) 1318
duodecimal (12) ba9
tridecimal (13) a1a
tetradecimal (14) 8a5
pentadecimal (15) 793

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵αψιγʹ
Mayan (base 20)
𝋤·𝋥·𝋭
Chinese
一千七百一十三
Chinese (financial)
壹仟柒佰壹拾參
In other modern scripts
Eastern Arabic ١٧١٣ Devanagari १७१३ Bengali ১৭১৩ Tamil ௧௭௧௩ Thai ๑๗๑๓ Tibetan ༡༧༡༣ Khmer ១៧១៣ Lao ໑໗໑໓ Burmese ၁၇၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,713 = 6
e — Euler's number (e)
Digit 1,713 = 3
φ — Golden ratio (φ)
Digit 1,713 = 0
√2 — Pythagoras's (√2)
Digit 1,713 = 5
ln 2 — Natural log of 2
Digit 1,713 = 7
γ — Euler-Mascheroni (γ)
Digit 1,713 = 2

Also seen as

Unicode codepoint
ڱ
Arabic Letter Ngoeh
U+06B1
Other letter (Lo)

UTF-8 encoding: DA B1 (2 bytes).

Hex color
#0006B1
RGB(0, 6, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.177.

Address
0.0.6.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.177

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

Position in π

The digit sequence 1713 first appears in π at position 36,915 of the decimal expansion (the 36,915ordinal-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.