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Number

506

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

Arithmetic Number Deficient Number Harshad / Niven Odious Number Pernicious Number Pronic / Oblong Recamán's Sequence Sphenic Number Square Pyramidal Squarefree Year

Historical context — 506 AD

Calendar year

Year 506 (DVI) was a common year starting on Sunday of the Julian calendar.

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Historical context — 506 BC

Calendar year

The year 506 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
Friday
January 1, 506
Ended on
Friday
December 31, 506
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
1,520
1520 years before 2026.

In other calendars

Hebrew
4266 / 4267 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1049 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
498 / 499 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
428 / 427 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
9 bits
Reversed
605
Recamán's sequence
a(268) = 506
Square (n²)
256,036
Cube (n³)
129,554,216
Divisor count
8
σ(n) — sum of divisors
864
φ(n) — Euler's totient
220
Sum of prime factors
36

Primality

Prime factorization: 2 × 11 × 23

Nearest primes: 503 (−3) · 509 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 11 · 22 · 23 · 46 · 253 (half) · 506
Aliquot sum (sum of proper divisors): 358
Factor pairs (a × b = 506)
1 × 506
2 × 253
11 × 46
22 × 23
First multiples
506 · 1,012 (double) · 1,518 · 2,024 · 2,530 · 3,036 · 3,542 · 4,048 · 4,554 · 5,060

Sums & aliquot sequence

As consecutive integers: 125 + 126 + 127 + 128 41 + 42 + … + 51 11 + 12 + … + 33
Aliquot sequence: 506 358 182 154 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
five hundred six
Ordinal
506th
Roman numeral
DVI
Binary
111111010
Octal
772
Hexadecimal
0x1FA
Base64
Afo=
One's complement
65,029 (16-bit)
In other bases
ternary (3) 200202
quaternary (4) 13322
quinary (5) 4011
senary (6) 2202
septenary (7) 1322
nonary (9) 622
undecimal (11) 420
duodecimal (12) 362
tridecimal (13) 2cc
tetradecimal (14) 282
pentadecimal (15) 23b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
φϛʹ
Mayan (base 20)
𝋡·𝋥·𝋦
Chinese
五百零六
Chinese (financial)
伍佰零陸
In other modern scripts
Eastern Arabic ٥٠٦ Devanagari ५०६ Bengali ৫০৬ Tamil ௫௦௬ Thai ๕๐๖ Tibetan ༥༠༦ Khmer ៥០៦ Lao ໕໐໖ Burmese ၅၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 506 = 6
e — Euler's number (e)
Digit 506 = 1
φ — Golden ratio (φ)
Digit 506 = 9
√2 — Pythagoras's (√2)
Digit 506 = 5
ln 2 — Natural log of 2
Digit 506 = 1
γ — Euler-Mascheroni (γ)
Digit 506 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 506, here are decompositions:

  • 3 + 503 = 506
  • 7 + 499 = 506
  • 19 + 487 = 506
  • 43 + 463 = 506
  • 67 + 439 = 506
  • 73 + 433 = 506
  • 97 + 409 = 506
  • 109 + 397 = 506

Showing the first eight; more decompositions exist.

Unicode codepoint
Ǻ
Latin Capital Letter A With Ring Above And Acute
U+01FA
Uppercase letter (Lu)

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

Hex color
#0001FA
RGB(0, 1, 250)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.250.

Address
0.0.1.250
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.250

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

NANP area code 506

The number 506 is an active NANP area code (North American Numbering Plan).

Primary area
Statewide
Region
New Brunswick
Country
Canada

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.