Number

523

523 is a prime, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Prime Recamán's Sequence Squarefree Twin Prime Year

Historical context — 523 AD

Calendar year

Year 523 (DXXIII) was a common year starting on Sunday of the Julian calendar.

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

Historical context — 523 BC

Decade

This article concerns the period 529 BC – 520 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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: 52
Started on: Friday
January 1, 523
Ended on: Friday
December 31, 523
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 520s
520–529
Century: 6th century
501–600
Millennium: 1st millennium
1–1000
Years ago: 1,503
1503 years before 2026.

In other calendars

Hebrew: 4283 / 4284 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Rabbit
Sexagenary cycle position 40 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1066 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 515 / 516 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 445 / 444 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 10
Digit product: 30
Digital root: 1
Palindrome: No
Bit width: 10 bits
Reversed: 325
Recamán's sequence: a(1,213) = 523
Square (n²): 273,529
Cube (n³): 143,055,667
Divisor count: 2
σ(n) — sum of divisors: 524
φ(n) — Euler's totient: 522

Primality

523 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 523

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 523)

1 × 523

First multiples

523 · 1,046 (double) · 1,569 · 2,092 · 2,615 · 3,138 · 3,661 · 4,184 · 4,707 · 5,230

Sums & aliquot sequence

As consecutive integers: 261 + 262

Representations

In words: five hundred twenty-three
Ordinal: 523rd
Roman numeral: DXXIII
Binary: 1000001011
Octal: 1013
Hexadecimal: 0x20B
Base64: Ags=
One's complement: 65,012 (16-bit)

In other bases

ternary (3) 201101

quaternary (4) 20023

quinary (5) 4043

senary (6) 2231

septenary (7) 1345

nonary (9) 641

undecimal (11) 436

duodecimal (12) 377

tridecimal (13) 313

tetradecimal (14) 295

pentadecimal (15) 24d

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): φκγʹ
Mayan (base 20): 𝋡·𝋦·𝋣
Chinese: 五百二十三
Chinese (financial): 伍佰貳拾參

In other modern scripts

Eastern Arabic ٥٢٣ Devanagari ५२३ Bengali ৫২৩ Tamil ௫௨௩ Thai ๕๒๓ Tibetan ༥༢༣ Khmer ៥២៣ Lao ໕໒໓ Burmese ၅၂၃

Digit at this position in famous constants

π — Pi (π): Digit 523 = 6
e — Euler's number (e): Digit 523 = 6
φ — Golden ratio (φ): Digit 523 = 3
√2 — Pythagoras's (√2): Digit 523 = 5
ln 2 — Natural log of 2: Digit 523 = 0
γ — Euler-Mascheroni (γ): Digit 523 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 521 (gap of 2)
Next prime: 541 (gap of 18)

Pair status: twin with 521.

Unicode codepoint

Latin Small Letter I With Inverted Breve

U+020B

Lowercase letter (Ll)

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

Lookup U+020B on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00020B

RGB(0, 2, 11)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.11.

Address: 0.0.2.11
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.11

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