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Number

1,307

1,307 is a prime, odd, a calendar year.

Arithmetic Number Cousin Prime Deficient Number Evil Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree Year

Historical context — 1307 AD

Calendar year

Year 1307 (MCCCVII) was a common year starting on Sunday of the Julian calendar.

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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
Saturday
January 1, 1307
Ended on
Saturday
December 31, 1307
Friday the 13ths
1
One Friday the 13th this year.
Decade
1300s
1300–1309
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
719
719 years before 2026.

In other calendars

Hebrew
5067 / 5068 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
706 / 707 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Goat
Sexagenary cycle position 44 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1850 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
685 / 686 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1299 / 1300 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1229 / 1228 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
7,031
Recamán's sequence
a(406) = 1,307
Square (n²)
1,708,249
Cube (n³)
2,232,681,443
Divisor count
2
σ(n) — sum of divisors
1,308
φ(n) — Euler's totient
1,306

Primality

1,307 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1307
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,307)
1 × 1307
First multiples
1,307 · 2,614 (double) · 3,921 · 5,228 · 6,535 · 7,842 · 9,149 · 10,456 · 11,763 · 13,070

Sums & aliquot sequence

As consecutive integers: 653 + 654

Representations

In words
one thousand three hundred seven
Ordinal
1307th
Roman numeral
MCCCVII
Binary
10100011011
Octal
2433
Hexadecimal
0x51B
Base64
BRs=
One's complement
64,228 (16-bit)
In other bases
ternary (3) 1210102
quaternary (4) 110123
quinary (5) 20212
senary (6) 10015
septenary (7) 3545
nonary (9) 1712
undecimal (11) a89
duodecimal (12) 90b
tridecimal (13) 797
tetradecimal (14) 695
pentadecimal (15) 5c2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατζʹ
Mayan (base 20)
𝋣·𝋥·𝋧
Chinese
一千三百零七
Chinese (financial)
壹仟參佰零柒
In other modern scripts
Eastern Arabic ١٣٠٧ Devanagari १३०७ Bengali ১৩০৭ Tamil ௧௩௦௭ Thai ๑๓๐๗ Tibetan ༡༣༠༧ Khmer ១៣០៧ Lao ໑໓໐໗ Burmese ၁၃၀၇

Digit at this position in famous constants

π — Pi (π)
Digit 1,307 = 6
e — Euler's number (e)
Digit 1,307 = 7
φ — Golden ratio (φ)
Digit 1,307 = 0
√2 — Pythagoras's (√2)
Digit 1,307 = 6
ln 2 — Natural log of 2
Digit 1,307 = 0
γ — Euler-Mascheroni (γ)
Digit 1,307 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,303 (gap of 4)
  • Next prime: 1,319 (gap of 12)

Pair status: cousin with 1303.

Unicode codepoint
ԛ
Cyrillic Small Letter Qa
U+051B
Lowercase letter (Ll)

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

Hex color
#00051B
RGB(0, 5, 27)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.27.

Address
0.0.5.27
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.27

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

Position in π

The digit sequence 1307 first appears in π at position 5,591 of the decimal expansion (the 5,591ordinal-suffix:st 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.