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Number

1,305

1,305 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Year

Notable events — 1305 AD

  1. Aug 23 William Wallace is executed at Smithfield.

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1305
Ended on
Thursday
December 31, 1305
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1300s
1300–1309
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
721
721 years before 2026.

In other calendars

Hebrew
5065 / 5066 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
704 / 705 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Snake
Sexagenary cycle position 42 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1848 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
683 / 684 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1297 / 1298 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1227 / 1226 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
5,031
Recamán's sequence
a(30,438) = 1,305
Square (n²)
1,703,025
Cube (n³)
2,222,447,625
Divisor count
12
σ(n) — sum of divisors
2,340
φ(n) — Euler's totient
672
Sum of prime factors
40

Primality

Prime factorization: 3 2 × 5 × 29

Nearest primes: 1,303 (−2) · 1,307 (+2)

Divisors & multiples

All divisors (12)
1 · 3 · 5 · 9 · 15 · 29 · 45 · 87 · 145 · 261 · 435 · 1305
Aliquot sum (sum of proper divisors): 1,035
Factor pairs (a × b = 1,305)
1 × 1305
3 × 435
5 × 261
9 × 145
15 × 87
29 × 45
First multiples
1,305 · 2,610 (double) · 3,915 · 5,220 · 6,525 · 7,830 · 9,135 · 10,440 · 11,745 · 13,050

Sums & aliquot sequence

As a sum of two squares: 3² + 36² = 24² + 27²
As consecutive integers: 652 + 653 434 + 435 + 436 259 + 260 + 261 + 262 + 263 215 + 216 + 217 + 218 + 219 + 220
Aliquot sequence: 1,305 1,035 837 443 1 0 — terminates at zero

Representations

In words
one thousand three hundred five
Ordinal
1305th
Roman numeral
MCCCV
Binary
10100011001
Octal
2431
Hexadecimal
0x519
Base64
BRk=
One's complement
64,230 (16-bit)
In other bases
ternary (3) 1210100
quaternary (4) 110121
quinary (5) 20210
senary (6) 10013
septenary (7) 3543
nonary (9) 1710
undecimal (11) a87
duodecimal (12) 909
tridecimal (13) 795
tetradecimal (14) 693
pentadecimal (15) 5c0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατεʹ
Mayan (base 20)
𝋣·𝋥·𝋥
Chinese
一千三百零五
Chinese (financial)
壹仟參佰零伍
In other modern scripts
Eastern Arabic ١٣٠٥ Devanagari १३०५ Bengali ১৩০৫ Tamil ௧௩௦௫ Thai ๑๓๐๕ Tibetan ༡༣༠༥ Khmer ១៣០៥ Lao ໑໓໐໕ Burmese ၁၃၀၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,305 = 1
e — Euler's number (e)
Digit 1,305 = 6
φ — Golden ratio (φ)
Digit 1,305 = 4
√2 — Pythagoras's (√2)
Digit 1,305 = 7
ln 2 — Natural log of 2
Digit 1,305 = 8
γ — Euler-Mascheroni (γ)
Digit 1,305 = 2

Also seen as

Unicode codepoint
ԙ
Cyrillic Small Letter Yae
U+0519
Lowercase letter (Ll)

UTF-8 encoding: D4 99 (2 bytes).

Hex color
#000519
RGB(0, 5, 25)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.25.

Address
0.0.5.25
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.25

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

Position in π

The digit sequence 1305 first appears in π at position 9,713 of the decimal expansion (the 9,713ordinal-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.