number.wiki
Number

505

505 is a composite number, odd, a calendar year.

505 (five hundred five) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 5 × 101. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is DV and in binary, 111111001.

Arithmetic Number Cube-Free Deficient Number Magic Constant Odious Number Palindrome Pernicious Number Recamán's Sequence Semiprime Squarefree Undulating Number Year

Interestingness

8 notable facts · grade A
less more

Historical context — 505 AD

Calendar year

Year 505 (DV) was a common year starting on Saturday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 505 BC

Calendar year

The year 505 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 505
Ended on
Thursday
December 31, 505
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
1,521
1521 years before 2026.

In other calendars

Hebrew
4265 / 4266 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Wood zodiac:Rooster
Sexagenary cycle position 22 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1048 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
497 / 498 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
427 / 426 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
10
Digit product
0
Digital root
1
Palindrome
Yes
Bit width
9 bits
Recamán's sequence
a(266) = 505
Square (n²)
255,025
Cube (n³)
128,787,625
Divisor count
4
σ(n) — sum of divisors
612
φ(n) — Euler's totient
400
Sum of prime factors
106

Primality

Prime factorization: 5 × 101

Nearest primes: 503 (−2) · 509 (+4)

Divisors & multiples

All divisors (4)
1 · 5 · 101 · 505
Aliquot sum (sum of proper divisors): 107
Factor pairs (a × b = 505)
1 × 505
5 × 101
First multiples
505 · 1,010 (double) · 1,515 · 2,020 · 2,525 · 3,030 · 3,535 · 4,040 · 4,545 · 5,050

Sums & aliquot sequence

As a sum of two squares: 8² + 21² = 12² + 19²
As consecutive integers: 252 + 253 99 + 100 + 101 + 102 + 103 46 + 47 + … + 55
Aliquot sequence: 505 107 1 0 — terminates at zero

Continued fraction of √n

√505 = [22; (2, 8, 2, 44)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
five hundred five
Ordinal
505th
Roman numeral
DV
Binary
111111001
Octal
771
Hexadecimal
0x1F9
Base64
Afk=
One's complement
65,030 (16-bit)
Scientific notation
5.05 × 10²
As a duration
505 s = 8 minutes, 25 seconds
In other bases
ternary (3) 200201
quaternary (4) 13321
quinary (5) 4010
senary (6) 2201
septenary (7) 1321
nonary (9) 621
undecimal (11) 41a
duodecimal (12) 361
tridecimal (13) 2cb
tetradecimal (14) 281
pentadecimal (15) 23a

As an angle

505° = 1 × 360° + 145°
145° ≈ 2.531 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
φεʹ
Mayan (base 20)
𝋡·𝋥·𝋥
Chinese
五百零五
Chinese (financial)
伍佰零伍
In other modern scripts
Eastern Arabic ٥٠٥ Devanagari ५०५ Bengali ৫০৫ Tamil ௫௦௫ Thai ๕๐๕ Tibetan ༥༠༥ Khmer ៥០៥ Lao ໕໐໕ Burmese ၅၀၅

Digit at this position in famous constants

π — Pi (π)
Digit 505 = 3
e — Euler's number (e)
Digit 505 = 6
φ — Golden ratio (φ)
Digit 505 = 7
√2 — Pythagoras's (√2)
Digit 505 = 8
ln 2 — Natural log of 2
Digit 505 = 8
γ — Euler-Mascheroni (γ)
Digit 505 = 8

Also seen as

Unicode codepoint
ǹ
Latin Small Letter N With Grave
U+01F9
Lowercase letter (Ll)

UTF-8 encoding: C7 B9 (2 bytes).

Hex color
#0001F9
RGB(0, 1, 249)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.249.

Address
0.0.1.249
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.249

Unspecified address (0.0.0.0/8) — "this network" placeholder.

NANP area code 505

The number 505 is an active NANP area code (North American Numbering Plan).

Primary area
Albuquerque / Santa Fe
Region
New Mexico
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.

Musical pitch

Heard as a frequency, 505 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B4 (493.9 Hz, +39¢)
  • Scientific pitch (C4 = 256 Hz): C5 (512 Hz, -24¢)
  • Baroque pitch (A4 = 415 Hz): C5 (493.5 Hz, +40¢)

Related reading