Number

508

508 is a composite number, even, a calendar year.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

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 · English fallback 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

Parity: Even
Digit count: 3
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 9 bits
Reversed: 805
Recamán's sequence: a(272) = 508
Square (n²): 258,064
Cube (n³): 131,096,512
Divisor count: 6
σ(n) — sum of divisors: 896
φ(n) — Euler's totient: 252
Sum of prime factors: 131

Primality

Prime factorization: 2 ² × 127

Nearest primes: 503 (−5) · 509 (+1)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 127 · 254 (half) · 508

Aliquot sum (sum of proper divisors): 388

Factor pairs (a × b = 508)

1 × 508

2 × 254

4 × 127

First multiples

508 · 1,016 (double) · 1,524 · 2,032 · 2,540 · 3,048 · 3,556 · 4,064 · 4,572 · 5,080

Sums & aliquot sequence

As consecutive integers: 60 + 61 + … + 67

Aliquot sequence: 508 → 388 → 298 → 152 → 148 → 118 → 62 → 34 → 20 → 22 → 14 → 10 → 8 → 7 → 1 → 0 — terminates at zero

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)

In other bases

ternary (3) 200211

quaternary (4) 13330

quinary (5) 4013

senary (6) 2204

septenary (7) 1324

nonary (9) 624

undecimal (11) 422

duodecimal (12) 364

tridecimal (13) 301

tetradecimal (14) 284

pentadecimal (15) 23d

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

In other modern scripts

Eastern Arabic ٥٠٨ Devanagari ५०८ Bengali ৫০৮ Tamil ௫௦௮ Thai ๕๐๘ Tibetan ༥༠༨ Khmer ៥០៨ Lao ໕໐໘ Burmese ၅၀၈

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 decomposition

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.

Unicode codepoint

Latin Capital Letter Ae With Acute

U+01FC

Uppercase letter (Lu)

UTF-8 encoding: C7 BC (2 bytes).

Lookup U+01FC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001FC

RGB(0, 1, 252)

IPv4 address

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.

NANP area code 508

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.

Look up area code 508 ↗