1,523
1,523 is a prime, odd, a calendar year.
1,523 (one thousand five hundred twenty-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 MDXXIII and in binary, 10111110011.
Interestingness
Notable events — 1523 AD
- Jun 6 Sweden elects Gustav Vasa king, ending the Kalmar Union.
- Nov 19 Pope Clement VII is elected.
- Undated Verrazano begins exploring the eastern coast of North America.
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
- 52
- Started on
-
Monday
January 1, 1523
- Ended on
-
Monday
December 31, 1523
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1520s
1520–1529
- Century
-
16th century
1501–1600
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
503
503 years before 2026.
In other calendars
- Hebrew
-
5283 / 5284 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
929 / 930 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Water zodiac:Goat
Sexagenary cycle position 20 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
2066 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
901 / 902 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1515 / 1516 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1445 / 1444 Saka
Indian national calendar; year starts in March.
Properties
Primality
1,523 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,523 = [39; (39, 78)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one thousand five hundred twenty-three
- Ordinal
- 1523rd
- Roman numeral
- MDXXIII
- Binary
- 10111110011
- Octal
- 2763
- Hexadecimal
- 0x5F3
- Base64
- BfM=
- One's complement
- 64,012 (16-bit)
- Scientific notation
- 1.523 × 10³
- As a duration
- 1,523 s = 25 minutes, 23 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵αφκγʹ
- Mayan (base 20)
- 𝋣·𝋰·𝋣
- Chinese
- 一千五百二十三
- Chinese (financial)
- 壹仟伍佰貳拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,523 = 2
- e — Euler's number (e)
- Digit 1,523 = 8
- φ — Golden ratio (φ)
- Digit 1,523 = 6
- √2 — Pythagoras's (√2)
- Digit 1,523 = 7
- ln 2 — Natural log of 2
- Digit 1,523 = 8
- γ — Euler-Mascheroni (γ)
- Digit 1,523 = 3
Also seen as
UTF-8 encoding: D7 B3 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.243.
- Address
- 0.0.5.243
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.5.243
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,523 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, +50¢ — about midway to G6)
- Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, -13¢)
- Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, -49¢ — about midway to G6)
The digit sequence 1523 first appears in π at position 2,688 of the decimal expansion (the 2,688ordinal-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.