508
508 is a composite number, even, a calendar year.
508 (five hundred eight) is an even 3-digit number. It is a composite number with 6 divisors, and factors as 2² × 127. Written other ways, in Roman numerals it is DVIII and in binary, 111111100.
Interestingness
Historical context — 508 AD
Calendar year
Year 508 (DVIII) was a leap year starting on Tuesday of the Julian calendar.
Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →
Notable events — 508 BC
- Undated Cleisthenes' reforms in Athens lay the foundation of democracy.
Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0
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
-
Sunday
January 1, 508
- Ended on
-
Monday
December 31, 508
- Friday the 13ths
-
3
3 Friday the 13ths this year.
- Decade
-
500s
500–509
- Century
-
6th century
501–600
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,518
1518 years before 2026.
In other calendars
- Hebrew
-
4268 / 4269 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1051 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
500 / 501 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
430 / 429 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 2 × 127
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√508 = [22; (1, 1, 5, 1, 14, 5, 1, 1, 3, 4, 1, 2, 1, 1, 1, 10, 1, 1, 1, 2, 1, 4, 3, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- five hundred eight
- Ordinal
- 508th
- Roman numeral
- DVIII
- Binary
- 111111100
- Octal
- 774
- Hexadecimal
- 0x1FC
- Base64
- Afw=
- One's complement
- 65,027 (16-bit)
- Scientific notation
- 5.08 × 10²
- As a duration
- 508 s = 8 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- φηʹ
- Mayan (base 20)
- 𝋡·𝋥·𝋨
- Chinese
- 五百零八
- Chinese (financial)
- 伍佰零捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 508 = 3
- e — Euler's number (e)
- Digit 508 = 8
- φ — Golden ratio (φ)
- Digit 508 = 2
- √2 — Pythagoras's (√2)
- Digit 508 = 9
- ln 2 — Natural log of 2
- Digit 508 = 7
- γ — Euler-Mascheroni (γ)
- Digit 508 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 508, here are decompositions:
- 5 + 503 = 508
- 17 + 491 = 508
- 29 + 479 = 508
- 41 + 467 = 508
- 47 + 461 = 508
- 59 + 449 = 508
- 89 + 419 = 508
- 107 + 401 = 508
Showing the first eight; more decompositions exist.
UTF-8 encoding: C7 BC (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.252.
- Address
- 0.0.1.252
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.1.252
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 508 is an active NANP area code (North American Numbering Plan).
- Primary area
- Worcester / Cape Cod
- Region
- Massachusetts
- Country
- United States
Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.
Heard as a frequency, 508 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B4 (493.9 Hz, +49¢ — about midway to C5)
- Scientific pitch (C4 = 256 Hz): C5 (512 Hz, -14¢)
- Baroque pitch (A4 = 415 Hz): C♯5 (522.9 Hz, -50¢ — about midway to C5)
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.