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Number

1,373

1,373 is a prime, odd, a calendar year.

1,373 (one thousand three hundred seventy-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MCCCLXXIII and in binary, 10101011101.

Arithmetic Number Cube-Free Deficient Number Happy Number Left-Truncatable Prime Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Year

Interestingness

Historical context — 1373 AD

Calendar year

Year 1373 (MCCCLXXIII) was a common year starting on Saturday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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
52
Started on
Friday
January 1, 1373
Ended on
Friday
December 31, 1373
Friday the 13ths
1
One Friday the 13th this year.
Decade
1370s
1370–1379
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
653
653 years before 2026.

In other calendars

Hebrew
5133 / 5134 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
774 / 775 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Ox
Sexagenary cycle position 50 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1916 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
751 / 752 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1365 / 1366 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1295 / 1294 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
63
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
3,731
Recamán's sequence
a(8,382) = 1,373
Square (n²)
1,885,129
Cube (n³)
2,588,282,117
Divisor count
2
σ(n) — sum of divisors
1,374
φ(n) — Euler's totient
1,372

Primality

1,373 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1373
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,373)
1 × 1373
First multiples
1,373 · 2,746 (double) · 4,119 · 5,492 · 6,865 · 8,238 · 9,611 · 10,984 · 12,357 · 13,730

Sums & aliquot sequence

As a sum of two squares: 2² + 37²
As consecutive integers: 686 + 687

Continued fraction of √n

√1,373 = [37; (18, 1, 1, 18, 74)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words
one thousand three hundred seventy-three
Ordinal
1373rd
Roman numeral
MCCCLXXIII
Binary
10101011101
Octal
2535
Hexadecimal
0x55D
Base64
BV0=
One's complement
64,162 (16-bit)
Scientific notation
1.373 × 10³
As a duration
1,373 s = 22 minutes, 53 seconds
In other bases
ternary (3) 1212212
quaternary (4) 111131
quinary (5) 20443
senary (6) 10205
septenary (7) 4001
nonary (9) 1785
undecimal (11) 1039
duodecimal (12) 965
tridecimal (13) 818
tetradecimal (14) 701
pentadecimal (15) 618
Palindromic in base 13

As an angle

1,373° = 3 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ατογʹ
Mayan (base 20)
𝋣·𝋨·𝋭
Chinese
一千三百七十三
Chinese (financial)
壹仟參佰柒拾參
In other modern scripts
Eastern Arabic ١٣٧٣ Devanagari १३७३ Bengali ১৩৭৩ Tamil ௧௩௭௩ Thai ๑๓๗๓ Tibetan ༡༣༧༣ Khmer ១៣៧៣ Lao ໑໓໗໓ Burmese ၁၃၇၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,373 = 4
e — Euler's number (e)
Digit 1,373 = 6
φ — Golden ratio (φ)
Digit 1,373 = 9
√2 — Pythagoras's (√2)
Digit 1,373 = 4
ln 2 — Natural log of 2
Digit 1,373 = 5
γ — Euler-Mascheroni (γ)
Digit 1,373 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,367 (gap of 6)
  • Next prime: 1,381 (gap of 8)

Pair status: sexy with 1367.

Unicode codepoint
՝
Armenian Comma
U+055D
Other punctuation (Po)

UTF-8 encoding: D5 9D (2 bytes).

Hex color
#00055D
RGB(0, 5, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.93.

Address
0.0.5.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.93

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

Musical pitch

Heard as a frequency, 1,373 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F6 (1396.9 Hz, -30¢)
  • Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, +8¢)
  • Baroque pitch (A4 = 415 Hz): F♯6 (1395.9 Hz, -29¢)
Position in π

The digit sequence 1373 first appears in π at position 10,886 of the decimal expansion (the 10,886ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.