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Number

1,309

1,309 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Happy Number Recamán's Sequence Sphenic Number Squarefree Year

Notable events — 1309 AD

  1. Mar 9 Pope Clement V moves the papacy to Avignon.

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
Tuesday
January 1, 1309
Ended on
Tuesday
December 31, 1309
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1300s
1300–1309
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
717
717 years before 2026.

In other calendars

Hebrew
5069 / 5070 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
708 / 709 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Rooster
Sexagenary cycle position 46 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1852 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
687 / 688 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1301 / 1302 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1231 / 1230 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
9,031
Recamán's sequence
a(410) = 1,309
Square (n²)
1,713,481
Cube (n³)
2,242,946,629
Divisor count
8
σ(n) — sum of divisors
1,728
φ(n) — Euler's totient
960
Sum of prime factors
35

Primality

Prime factorization: 7 × 11 × 17

Nearest primes: 1,307 (−2) · 1,319 (+10)

Divisors & multiples

All divisors (8)
1 · 7 · 11 · 17 · 77 · 119 · 187 · 1309
Aliquot sum (sum of proper divisors): 419
Factor pairs (a × b = 1,309)
1 × 1309
7 × 187
11 × 119
17 × 77
First multiples
1,309 · 2,618 (double) · 3,927 · 5,236 · 6,545 · 7,854 · 9,163 · 10,472 · 11,781 · 13,090

Sums & aliquot sequence

As consecutive integers: 654 + 655 184 + 185 + … + 190 114 + 115 + … + 124 87 + 88 + … + 100
Aliquot sequence: 1,309 419 1 0 — terminates at zero

Representations

In words
one thousand three hundred nine
Ordinal
1309th
Roman numeral
MCCCIX
Binary
10100011101
Octal
2435
Hexadecimal
0x51D
Base64
BR0=
One's complement
64,226 (16-bit)
In other bases
ternary (3) 1210111
quaternary (4) 110131
quinary (5) 20214
senary (6) 10021
septenary (7) 3550
nonary (9) 1714
undecimal (11) a90
duodecimal (12) 911
tridecimal (13) 799
tetradecimal (14) 697
pentadecimal (15) 5c4

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατθʹ
Mayan (base 20)
𝋣·𝋥·𝋩
Chinese
一千三百零九
Chinese (financial)
壹仟參佰零玖
In other modern scripts
Eastern Arabic ١٣٠٩ Devanagari १३०९ Bengali ১৩০৯ Tamil ௧௩௦௯ Thai ๑๓๐๙ Tibetan ༡༣༠༩ Khmer ១៣០៩ Lao ໑໓໐໙ Burmese ၁၃၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,309 = 7
e — Euler's number (e)
Digit 1,309 = 5
φ — Golden ratio (φ)
Digit 1,309 = 5
√2 — Pythagoras's (√2)
Digit 1,309 = 2
ln 2 — Natural log of 2
Digit 1,309 = 4
γ — Euler-Mascheroni (γ)
Digit 1,309 = 1

Also seen as

Unicode codepoint
ԝ
Cyrillic Small Letter We
U+051D
Lowercase letter (Ll)

UTF-8 encoding: D4 9D (2 bytes).

Hex color
#00051D
RGB(0, 5, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.29.

Address
0.0.5.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.29

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

Position in π

The digit sequence 1309 first appears in π at position 744 of the decimal expansion (the 744ordinal-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.