507
507 is a composite number, odd, a calendar year.
507 (five hundred seven) is an odd 3-digit number. It is a composite number with 6 divisors, and factors as 3 × 13². Written other ways, in Roman numerals it is DVII and in binary, 111111011.
Interestingness
Historical context — 507 AD
Calendar year
Year 507 (DVII) was a common year starting on Monday of the Julian calendar.
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Historical context — 507 BC
Calendar year
The year 507 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, 507
- Ended on
-
Saturday
December 31, 507
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
500s
500–509
- Century
-
6th century
501–600
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,519
1519 years before 2026.
In other calendars
- Hebrew
-
4267 / 4268 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Fire zodiac:Pig
Sexagenary cycle position 24 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1050 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
499 / 500 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
429 / 428 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 3 × 13 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√507 = [22; (1, 1, 14, 1, 1, 44)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- five hundred seven
- Ordinal
- 507th
- Roman numeral
- DVII
- Binary
- 111111011
- Octal
- 773
- Hexadecimal
- 0x1FB
- Base64
- Afs=
- One's complement
- 65,028 (16-bit)
- Scientific notation
- 5.07 × 10²
- As a duration
- 507 s = 8 minutes, 27 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- φζʹ
- Mayan (base 20)
- 𝋡·𝋥·𝋧
- Chinese
- 五百零七
- Chinese (financial)
- 伍佰零柒
Digit at this position in famous constants
- π — Pi (π)
- Digit 507 = 7
- e — Euler's number (e)
- Digit 507 = 7
- φ — Golden ratio (φ)
- Digit 507 = 5
- √2 — Pythagoras's (√2)
- Digit 507 = 0
- ln 2 — Natural log of 2
- Digit 507 = 4
- γ — Euler-Mascheroni (γ)
- Digit 507 = 7
Also seen as
UTF-8 encoding: C7 BB (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.251.
- Address
- 0.0.1.251
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.1.251
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 507 is an active NANP area code (North American Numbering Plan).
- Primary area
- Rochester / Mankato
- Region
- Minnesota
- 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, 507 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B4 (493.9 Hz, +45¢ — about midway to C5)
- Scientific pitch (C4 = 256 Hz): C5 (512 Hz, -17¢)
- Baroque pitch (A4 = 415 Hz): C5 (493.5 Hz, +47¢ — about midway to C♯5)
On an ingredients label, E507 is Hydrochloric acid, an acidity regulator or anti-caking agent.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.