518
518 is a composite number, even, a calendar year.
518 (five hundred eighteen) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 37. Written other ways, in Roman numerals it is DXVIII and in binary, 1000000110.
Interestingness
Historical context — 518 AD
Calendar year
Year 518 (DXVIII) was a common year starting on Monday of the Julian calendar.
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Historical context — 518 BC
Calendar year
The year 518 BC was a year of the pre-Julian Roman calendar.
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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
-
Saturday
January 1, 518
- Ended on
-
Saturday
December 31, 518
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
510s
510–519
- Century
-
6th century
501–600
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,508
1508 years before 2026.
In other calendars
- Hebrew
-
4278 / 4279 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Earth zodiac:Dog
Sexagenary cycle position 35 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1061 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
510 / 511 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
440 / 439 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 × 7 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√518 = [22; (1, 3, 6, 3, 1, 44)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- five hundred eighteen
- Ordinal
- 518th
- Roman numeral
- DXVIII
- Binary
- 1000000110
- Octal
- 1006
- Hexadecimal
- 0x206
- Base64
- AgY=
- One's complement
- 65,017 (16-bit)
- Scientific notation
- 5.18 × 10²
- As a duration
- 518 s = 8 minutes, 38 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- φιηʹ
- Mayan (base 20)
- 𝋡·𝋥·𝋲
- Chinese
- 五百一十八
- Chinese (financial)
- 伍佰壹拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 518 = 6
- e — Euler's number (e)
- Digit 518 = 2
- φ — Golden ratio (φ)
- Digit 518 = 1
- √2 — Pythagoras's (√2)
- Digit 518 = 4
- ln 2 — Natural log of 2
- Digit 518 = 5
- γ — Euler-Mascheroni (γ)
- Digit 518 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 518, here are decompositions:
- 19 + 499 = 518
- 31 + 487 = 518
- 61 + 457 = 518
- 79 + 439 = 518
- 97 + 421 = 518
- 109 + 409 = 518
- 139 + 379 = 518
- 151 + 367 = 518
Showing the first eight; more decompositions exist.
UTF-8 encoding: C8 86 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.6.
- Address
- 0.0.2.6
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.2.6
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 518 is an active NANP area code (North American Numbering Plan).
- Primary area
- Albany
- Region
- New York
- 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, 518 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C5 (523.3 Hz, -17¢)
- Scientific pitch (C4 = 256 Hz): C5 (512 Hz, +20¢)
- Baroque pitch (A4 = 415 Hz): C♯5 (522.9 Hz, -16¢)
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.