Number

527

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

527 (five hundred twenty-seven) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 17 × 31. Written other ways, in Roman numerals it is DXXVII and in binary, 1000001111.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539

less more

Notable events — 527 AD

Aug 1 Justinian I becomes Byzantine emperor.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Historical context — 527 BC

Decade

This article concerns the period 529 BC – 520 BC.

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: 52
Started on: Wednesday
January 1, 527
Ended on: Wednesday
December 31, 527
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: 1,499
1499 years before 2026.

In other calendars

Hebrew: 4287 / 4288 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Goat
Sexagenary cycle position 44 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1070 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 519 / 520 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 449 / 448 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 14
Digit product: 70
Digital root: 5
Palindrome: No
Bit width: 10 bits
Reversed: 725
Recamán's sequence: a(1,205) = 527
Square (n²): 277,729
Cube (n³): 146,363,183
Divisor count: 4
σ(n) — sum of divisors: 576
φ(n) — Euler's totient: 480
Sum of prime factors: 48

Primality

Prime factorization: 17 × 31

Nearest primes: 523 (−4) · 541 (+14)

Divisors & multiples

All divisors (4)

1 · 17 · 31 · 527

Aliquot sum (sum of proper divisors): 49

Factor pairs (a × b = 527)

1 × 527

17 × 31

First multiples

527 · 1,054 (double) · 1,581 · 2,108 · 2,635 · 3,162 · 3,689 · 4,216 · 4,743 · 5,270

Sums & aliquot sequence

As consecutive integers: 263 + 264 23 + 24 + … + 39 2 + 3 + … + 32

Aliquot sequence: 527 → 49 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√527 = [22; (1, 21, 1, 44)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: five hundred twenty-seven
Ordinal: 527th
Roman numeral: DXXVII
Binary: 1000001111
Octal: 1017
Hexadecimal: 0x20F
Base64: Ag8=
One's complement: 65,008 (16-bit)
Scientific notation: 5.27 × 10²
As a duration: 527 s = 8 minutes, 47 seconds

In other bases

ternary (3) 201112

quaternary (4) 20033

quinary (5) 4102

senary (6) 2235

septenary (7) 1352

nonary (9) 645

undecimal (11) 43a

duodecimal (12) 37b

tridecimal (13) 317

tetradecimal (14) 299

pentadecimal (15) 252

Palindromic in base 15

As an angle

527° = 1 × 360° + 167°

167° ≈ 2.915 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): φκζʹ
Mayan (base 20): 𝋡·𝋦·𝋧
Chinese: 五百二十七
Chinese (financial): 伍佰貳拾柒

In other modern scripts

Eastern Arabic ٥٢٧ Devanagari ५२७ Bengali ৫২৭ Tamil ௫௨௭ Thai ๕๒๗ Tibetan ༥༢༧ Khmer ៥២៧ Lao ໕໒໗ Burmese ၅၂၇

Digit at this position in famous constants

π — Pi (π): Digit 527 = 3
e — Euler's number (e): Digit 527 = 4
φ — Golden ratio (φ): Digit 527 = 5
√2 — Pythagoras's (√2): Digit 527 = 8
ln 2 — Natural log of 2: Digit 527 = 7
γ — Euler-Mascheroni (γ): Digit 527 = 2

Also seen as

Unicode codepoint

Latin Small Letter O With Inverted Breve

U+020F

Lowercase letter (Ll)

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

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

Hex color

#00020F

RGB(0, 2, 15)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.15.

Address: 0.0.2.15
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.15

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

Musical pitch

Heard as a frequency, 527 Hz is closest to:

Concert pitch (A4 = 440 Hz): C5 (523.3 Hz, +12¢)
Scientific pitch (C4 = 256 Hz): C5 (512 Hz, +50¢ — about midway to C♯5)
Baroque pitch (A4 = 415 Hz): C♯5 (522.9 Hz, +14¢)