number.wiki
Number

1,304

1,304 is a composite number, even, a calendar year.

Deficient Number Evil Number Harshad / Niven Recamán's Sequence Year

Historical context — 1304 AD

Calendar year

Year 1304 (MCCCIV) was a leap year starting on Wednesday 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
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Tuesday
January 1, 1304
Ended on
Wednesday
December 31, 1304
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
722
722 years before 2026.

In other calendars

Hebrew
5064 / 5065 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
703 / 704 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Dragon
Sexagenary cycle position 41 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1847 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
682 / 683 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1296 / 1297 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1226 / 1225 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
4,031
Recamán's sequence
a(30,440) = 1,304
Square (n²)
1,700,416
Cube (n³)
2,217,342,464
Divisor count
8
σ(n) — sum of divisors
2,460
φ(n) — Euler's totient
648
Sum of prime factors
169

Primality

Prime factorization: 2 3 × 163

Nearest primes: 1,303 (−1) · 1,307 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 163 · 326 · 652 (half) · 1304
Aliquot sum (sum of proper divisors): 1,156
Factor pairs (a × b = 1,304)
1 × 1304
2 × 652
4 × 326
8 × 163
First multiples
1,304 · 2,608 (double) · 3,912 · 5,216 · 6,520 · 7,824 · 9,128 · 10,432 · 11,736 · 13,040

Sums & aliquot sequence

As consecutive integers: 74 + 75 + … + 89
Aliquot sequence: 1,304 1,156 993 335 73 1 0 — terminates at zero

Representations

In words
one thousand three hundred four
Ordinal
1304th
Roman numeral
MCCCIV
Binary
10100011000
Octal
2430
Hexadecimal
0x518
Base64
BRg=
One's complement
64,231 (16-bit)
In other bases
ternary (3) 1210022
quaternary (4) 110120
quinary (5) 20204
senary (6) 10012
septenary (7) 3542
nonary (9) 1708
undecimal (11) a86
duodecimal (12) 908
tridecimal (13) 794
tetradecimal (14) 692
pentadecimal (15) 5be

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατδʹ
Mayan (base 20)
𝋣·𝋥·𝋤
Chinese
一千三百零四
Chinese (financial)
壹仟參佰零肆
In other modern scripts
Eastern Arabic ١٣٠٤ Devanagari १३०४ Bengali ১৩০৪ Tamil ௧௩௦௪ Thai ๑๓๐๔ Tibetan ༡༣༠༤ Khmer ១៣០៤ Lao ໑໓໐໔ Burmese ၁၃၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,304 = 3
e — Euler's number (e)
Digit 1,304 = 2
φ — Golden ratio (φ)
Digit 1,304 = 0
√2 — Pythagoras's (√2)
Digit 1,304 = 1
ln 2 — Natural log of 2
Digit 1,304 = 3
γ — Euler-Mascheroni (γ)
Digit 1,304 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1304, here are decompositions:

  • 3 + 1301 = 1304
  • 7 + 1297 = 1304
  • 13 + 1291 = 1304
  • 67 + 1237 = 1304
  • 73 + 1231 = 1304
  • 103 + 1201 = 1304
  • 151 + 1153 = 1304
  • 181 + 1123 = 1304

Showing the first eight; more decompositions exist.

Unicode codepoint
Ԙ
Cyrillic Capital Letter Yae
U+0518
Uppercase letter (Lu)

UTF-8 encoding: D4 98 (2 bytes).

Hex color
#000518
RGB(0, 5, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.24.

Address
0.0.5.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.24

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

Position in π

The digit sequence 1304 first appears in π at position 5,748 of the decimal expansion (the 5,748ordinal-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.