Number

524

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

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 524 AD

Calendar year

Year 524 (DXXIV) was a leap year starting on Monday on the Julian calendar.

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Historical context — 524 BC

Calendar year

The year 524 BC was a year of the pre-Julian Roman calendar.

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

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Saturday
January 1, 524
Ended on: Sunday
December 31, 524
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: 1,502
1502 years before 2026.

In other calendars

Hebrew: 4284 / 4285 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Dragon
Sexagenary cycle position 41 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1067 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 516 / 517 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 446 / 445 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 11
Digit product: 40
Digital root: 2
Palindrome: No
Bit width: 10 bits
Reversed: 425
Recamán's sequence: a(1,211) = 524
Square (n²): 274,576
Cube (n³): 143,877,824
Divisor count: 6
σ(n) — sum of divisors: 924
φ(n) — Euler's totient: 260
Sum of prime factors: 135

Primality

Prime factorization: 2 ² × 131

Nearest primes: 523 (−1) · 541 (+17)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 131 · 262 (half) · 524

Aliquot sum (sum of proper divisors): 400

Factor pairs (a × b = 524)

1 × 524

2 × 262

4 × 131

First multiples

524 · 1,048 (double) · 1,572 · 2,096 · 2,620 · 3,144 · 3,668 · 4,192 · 4,716 · 5,240

Sums & aliquot sequence

As consecutive integers: 62 + 63 + … + 69

Aliquot sequence: 524 → 400 → 561 → 303 → 105 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Representations

In words: five hundred twenty-four
Ordinal: 524th
Roman numeral: DXXIV
Binary: 1000001100
Octal: 1014
Hexadecimal: 0x20C
Base64: Agw=
One's complement: 65,011 (16-bit)

In other bases

ternary (3) 201102

quaternary (4) 20030

quinary (5) 4044

senary (6) 2232

septenary (7) 1346

nonary (9) 642

undecimal (11) 437

duodecimal (12) 378

tridecimal (13) 314

tetradecimal (14) 296

pentadecimal (15) 24e

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): φκδʹ
Mayan (base 20): 𝋡·𝋦·𝋤
Chinese: 五百二十四
Chinese (financial): 伍佰貳拾肆

In other modern scripts

Eastern Arabic ٥٢٤ Devanagari ५२४ Bengali ৫২৪ Tamil ௫௨௪ Thai ๕๒๔ Tibetan ༥༢༤ Khmer ៥២៤ Lao ໕໒໔ Burmese ၅၂၄

Digit at this position in famous constants

π — Pi (π): Digit 524 = 0
e — Euler's number (e): Digit 524 = 3
φ — Golden ratio (φ): Digit 524 = 5
√2 — Pythagoras's (√2): Digit 524 = 4
ln 2 — Natural log of 2: Digit 524 = 1
γ — Euler-Mascheroni (γ): Digit 524 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 524, here are decompositions:

3 + 521 = 524
37 + 487 = 524
61 + 463 = 524
67 + 457 = 524
103 + 421 = 524
127 + 397 = 524
151 + 373 = 524
157 + 367 = 524

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter O With Double Grave

U+020C

Uppercase letter (Lu)

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

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

Hex color

#00020C

RGB(0, 2, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.12.

Address: 0.0.2.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.12

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