Number

1,527

1,527 is a composite number, odd, a calendar year.

1,527 (one thousand five hundred twenty-seven) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 3 × 509. Written other ways, in Roman numerals it is MDXXVII and in binary, 10111110111.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,515 1,516 1,517 1,518 1,519 1,520 1,521 1,522 1,523 1,524 1,525 1,526 1,527 1,528 1,529 1,530 1,531 1,532 1,533 1,534 1,535 1,536 1,537 1,538 1,539

less more

Notable events — 1527 AD

May 6 Imperial troops sack Rome, holding Pope Clement VII captive.
Sep 22 Henry VIII begins seeking annulment of his marriage to Catherine of Aragon.
Jun 22 Niccolò Machiavelli dies in Florence.

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

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: Saturday
January 1, 1527
Ended on: Saturday
December 31, 1527
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1520s
1520–1529
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 499
499 years before 2026.

In other calendars

Hebrew: 5287 / 5288 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 933 / 934 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Pig
Sexagenary cycle position 24 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2070 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 905 / 906 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1519 / 1520 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1449 / 1448 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 15
Digit product: 70
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 7,251
Recamán's sequence: a(1,506) = 1,527
Square (n²): 2,331,729
Cube (n³): 3,560,550,183
Divisor count: 4
σ(n) — sum of divisors: 2,040
φ(n) — Euler's totient: 1,016
Sum of prime factors: 512

Primality

Prime factorization: 3 × 509

Nearest primes: 1,523 (−4) · 1,531 (+4)

Divisors & multiples

All divisors (4)

1 · 3 · 509 · 1527

Aliquot sum (sum of proper divisors): 513

Factor pairs (a × b = 1,527)

1 × 1527

3 × 509

First multiples

1,527 · 3,054 (double) · 4,581 · 6,108 · 7,635 · 9,162 · 10,689 · 12,216 · 13,743 · 15,270

Sums & aliquot sequence

As consecutive integers: 763 + 764 508 + 509 + 510 252 + 253 + 254 + 255 + 256 + 257

Aliquot sequence: 1,527 → 513 → 287 → 49 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,527 = [39; (13, 78)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred twenty-seven
Ordinal: 1527th
Roman numeral: MDXXVII
Binary: 10111110111
Octal: 2767
Hexadecimal: 0x5F7
Base64: Bfc=
One's complement: 64,008 (16-bit)
Scientific notation: 1.527 × 10³
As a duration: 1,527 s = 25 minutes, 27 seconds

In other bases

ternary (3) 2002120

quaternary (4) 113313

quinary (5) 22102

senary (6) 11023

septenary (7) 4311

nonary (9) 2076

undecimal (11) 1169

duodecimal (12) a73

tridecimal (13) 906

tetradecimal (14) 7b1

pentadecimal (15) 6bc

As an angle

1,527° = 4 × 360° + 87°

87° ≈ 1.518 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αφκζʹ
Mayan (base 20): 𝋣·𝋰·𝋧
Chinese: 一千五百二十七
Chinese (financial): 壹仟伍佰貳拾柒

In other modern scripts

Eastern Arabic ١٥٢٧ Devanagari १५२७ Bengali ১৫২৭ Tamil ௧௫௨௭ Thai ๑๕๒๗ Tibetan ༡༥༢༧ Khmer ១៥២៧ Lao ໑໕໒໗ Burmese ၁၅၂၇

Digit at this position in famous constants

π — Pi (π): Digit 1,527 = 8
e — Euler's number (e): Digit 1,527 = 7
φ — Golden ratio (φ): Digit 1,527 = 8
√2 — Pythagoras's (√2): Digit 1,527 = 9
ln 2 — Natural log of 2: Digit 1,527 = 7
γ — Euler-Mascheroni (γ): Digit 1,527 = 8

Also seen as

Hex color

#0005F7

RGB(0, 5, 247)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.247.

Address: 0.0.5.247
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.247

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

Musical pitch

Heard as a frequency, 1,527 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, -46¢ — about midway to F♯6)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, -8¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, -45¢ — about midway to G6)

Position in π

The digit sequence 1527 first appears in π at position 16,114 of the decimal expansion (the 16,114ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1527 on Pi Search ↗