Number

1,361

1,361 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Year

Historical context — 1361 AD

Calendar year

Year 1361 (MCCCLXI) was a common year starting on Friday of the Julian calendar.

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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1361
Ended on: Thursday
December 31, 1361
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 1360s
1360–1369
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 665
665 years before 2026.

In other calendars

Hebrew: 5121 / 5122 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 762 / 763 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Ox
Sexagenary cycle position 38 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1904 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 739 / 740 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1353 / 1354 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1283 / 1282 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 11
Digit product: 18
Digital root: 2
Palindrome: No
Bit width: 11 bits
Reversed: 1,631
Recamán's sequence: a(454) = 1,361
Square (n²): 1,852,321
Cube (n³): 2,521,008,881
Divisor count: 2
σ(n) — sum of divisors: 1,362
φ(n) — Euler's totient: 1,360

Primality

1,361 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1361

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,361)

1 × 1361

First multiples

1,361 · 2,722 (double) · 4,083 · 5,444 · 6,805 · 8,166 · 9,527 · 10,888 · 12,249 · 13,610

Sums & aliquot sequence

As a sum of two squares: 20² + 31²

As consecutive integers: 680 + 681

Representations

In words: one thousand three hundred sixty-one
Ordinal: 1361st
Roman numeral: MCCCLXI
Binary: 10101010001
Octal: 2521
Hexadecimal: 0x551
Base64: BVE=
One's complement: 64,174 (16-bit)

In other bases

ternary (3) 1212102

quaternary (4) 111101

quinary (5) 20421

senary (6) 10145

septenary (7) 3653

nonary (9) 1772

undecimal (11) 1028

duodecimal (12) 955

tridecimal (13) 809

tetradecimal (14) 6d3

pentadecimal (15) 60b

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵ατξαʹ
Mayan (base 20): 𝋣·𝋨·𝋡
Chinese: 一千三百六十一
Chinese (financial): 壹仟參佰陸拾壹

In other modern scripts

Eastern Arabic ١٣٦١ Devanagari १३६१ Bengali ১৩৬১ Tamil ௧௩௬௧ Thai ๑๓๖๑ Tibetan ༡༣༦༡ Khmer ១៣៦១ Lao ໑໓໖໑ Burmese ၁၃၆၁

Digit at this position in famous constants

π — Pi (π): Digit 1,361 = 0
e — Euler's number (e): Digit 1,361 = 9
φ — Golden ratio (φ): Digit 1,361 = 5
√2 — Pythagoras's (√2): Digit 1,361 = 9
ln 2 — Natural log of 2: Digit 1,361 = 2
γ — Euler-Mascheroni (γ): Digit 1,361 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,327 (gap of 34)
Next prime: 1,367 (gap of 6)

Pair status: sexy with 1367.

Unicode codepoint

Armenian Capital Letter Co

U+0551

Uppercase letter (Lu)

UTF-8 encoding: D5 91 (2 bytes).

Lookup U+0551 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000551

RGB(0, 5, 81)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.81.

Address: 0.0.5.81
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.81

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

Position in π

The digit sequence 1361 first appears in π at position 1,653 of the decimal expansion (the 1,653ordinal-suffix:rd 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.

Look up 1361 on Pi Search ↗