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Number

514

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

Deficient Number Evil Number Pernicious Number Recamán's Sequence Self Number Semiprime Squarefree Year

Historical context — 514 AD

Calendar year

Year 514 (DXIV) was a common year starting on Wednesday of the Julian calendar.

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Historical context — 514 BC

Calendar year

The year 514 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
Monday
January 1, 514
Ended on
Monday
December 31, 514
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
510s
510–519
Century
6th century
501–600
Millennium
1st millennium
1–1000
Years ago
1,512
1512 years before 2026.

In other calendars

Hebrew
4274 / 4275 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Wood zodiac:Horse
Sexagenary cycle position 31 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1057 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
506 / 507 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
436 / 435 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
10
Digit product
20
Digital root
1
Palindrome
No
Bit width
10 bits
Reversed
415
Recamán's sequence
a(284) = 514
Square (n²)
264,196
Cube (n³)
135,796,744
Divisor count
4
σ(n) — sum of divisors
774
φ(n) — Euler's totient
256
Sum of prime factors
259

Primality

Prime factorization: 2 × 257

Nearest primes: 509 (−5) · 521 (+7)

Divisors & multiples

All divisors (4)
1 · 2 · 257 (half) · 514
Aliquot sum (sum of proper divisors): 260
Factor pairs (a × b = 514)
1 × 514
2 × 257
First multiples
514 · 1,028 (double) · 1,542 · 2,056 · 2,570 · 3,084 · 3,598 · 4,112 · 4,626 · 5,140

Sums & aliquot sequence

As a sum of two squares: 15² + 17²
As consecutive integers: 127 + 128 + 129 + 130
Aliquot sequence: 514 260 328 302 154 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
five hundred fourteen
Ordinal
514th
Roman numeral
DXIV
Binary
1000000010
Octal
1002
Hexadecimal
0x202
Base64
AgI=
One's complement
65,021 (16-bit)
In other bases
ternary (3) 201001
quaternary (4) 20002
quinary (5) 4024
senary (6) 2214
septenary (7) 1333
nonary (9) 631
undecimal (11) 428
duodecimal (12) 36a
tridecimal (13) 307
tetradecimal (14) 28a
pentadecimal (15) 244

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
φιδʹ
Mayan (base 20)
𝋡·𝋥·𝋮
Chinese
五百一十四
Chinese (financial)
伍佰壹拾肆
In other modern scripts
Eastern Arabic ٥١٤ Devanagari ५१४ Bengali ৫১৪ Tamil ௫௧௪ Thai ๕๑๔ Tibetan ༥༡༤ Khmer ៥១៤ Lao ໕໑໔ Burmese ၅၁၄

Digit at this position in famous constants

π — Pi (π)
Digit 514 = 0
e — Euler's number (e)
Digit 514 = 4
φ — Golden ratio (φ)
Digit 514 = 2
√2 — Pythagoras's (√2)
Digit 514 = 1
ln 2 — Natural log of 2
Digit 514 = 9
γ — Euler-Mascheroni (γ)
Digit 514 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 514, here are decompositions:

  • 5 + 509 = 514
  • 11 + 503 = 514
  • 23 + 491 = 514
  • 47 + 467 = 514
  • 53 + 461 = 514
  • 71 + 443 = 514
  • 83 + 431 = 514
  • 113 + 401 = 514

Showing the first eight; more decompositions exist.

Unicode codepoint
Ȃ
Latin Capital Letter A With Inverted Breve
U+0202
Uppercase letter (Lu)

UTF-8 encoding: C8 82 (2 bytes).

Network port

TCP/UDP port 514 is the well-known port for Syslog — System logging protocol.

Hex color
#000202
RGB(0, 2, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.2.

Address
0.0.2.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.2

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

NANP area code 514

The number 514 is an active NANP area code (North American Numbering Plan).

Primary area
Montreal
Region
Québec
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.

Calculator-display word

Type 514 on a seven-segment calculator, flip it 180°, and the display reads:

hIS

A staple of calculator humor since pocket calculators put digits in front of bored students.