524
524 is a composite number, even, a calendar year.
524 (five hundred twenty-four) is an even 3-digit number. It is a composite number with 6 divisors, and factors as 2² × 131. Written other ways, in Roman numerals it is DXXIV and in binary, 1000001100.
Interestingness
Historical context — 524 AD
Calendar year
Year 524 (DXXIV) was a leap year starting on Monday on the Julian calendar.
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Historical context — 524 BC
Calendar year
The year 524 BC was a year of the pre-Julian Roman calendar.
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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
-
Saturday
January 1, 524
- Ended on
-
Sunday
December 31, 524
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
520s
520–529
- Century
-
6th century
501–600
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,502
1502 years before 2026.
In other calendars
- Hebrew
-
4284 / 4285 AM
Rosh Hashanah falls in September/October.
- 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
-
1067 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
516 / 517 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
446 / 445 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 2 × 131
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√524 = [22; (1, 8, 5, 1, 1, 1, 1, 2, 1, 10, 1, 2, 1, 1, 1, 1, 5, 8, 1, 44)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- five hundred twenty-four
- Ordinal
- 524th
- Roman numeral
- DXXIV
- Binary
- 1000001100
- Octal
- 1014
- Hexadecimal
- 0x20C
- Base64
- Agw=
- One's complement
- 65,011 (16-bit)
- Scientific notation
- 5.24 × 10²
- As a duration
- 524 s = 8 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- φκδʹ
- Mayan (base 20)
- 𝋡·𝋦·𝋤
- Chinese
- 五百二十四
- Chinese (financial)
- 伍佰貳拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 524 = 0
- e — Euler's number (e)
- Digit 524 = 3
- φ — Golden ratio (φ)
- Digit 524 = 5
- √2 — Pythagoras's (√2)
- Digit 524 = 4
- ln 2 — Natural log of 2
- Digit 524 = 1
- γ — Euler-Mascheroni (γ)
- Digit 524 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 524, here are decompositions:
- 3 + 521 = 524
- 37 + 487 = 524
- 61 + 463 = 524
- 67 + 457 = 524
- 103 + 421 = 524
- 127 + 397 = 524
- 151 + 373 = 524
- 157 + 367 = 524
Showing the first eight; more decompositions exist.
UTF-8 encoding: C8 8C (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.12.
- Address
- 0.0.2.12
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.2.12
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 524 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C5 (523.3 Hz, +2¢)
- Scientific pitch (C4 = 256 Hz): C5 (512 Hz, +40¢)
- Baroque pitch (A4 = 415 Hz): C♯5 (522.9 Hz, +4¢)
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.