Number

1,536

1,536 is a composite number, even, a calendar year.

1,536 (one thousand five hundred thirty-six) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁹ × 3. Its proper divisors sum to 2,556, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDXXXVI and in binary, 11000000000.

Abundant Number Evil Number Frugal Number Gapful Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 1,540 1,541 1,542 1,543 1,544 1,545 1,546 1,547 1,548

less more

Notable events — 1536 AD

May 19 Anne Boleyn is beheaded at the Tower of London.
Mar 30 John Calvin publishes the Institutes of the Christian Religion.
Oct 13 The Pilgrimage of Grace, a revolt against Henry VIII's reforms, begins.

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

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 1536
Ended on: Thursday
December 31, 1536
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1530s
1530–1539
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 490
490 years before 2026.

In other calendars

Hebrew: 5296 / 5297 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 942 / 943 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2079 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 914 / 915 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1528 / 1529 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1458 / 1457 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 90
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 6,351
Recamán's sequence: a(1,488) = 1,536
Square (n²): 2,359,296
Cube (n³): 3,623,878,656
Divisor count: 20
σ(n) — sum of divisors: 4,092
φ(n) — Euler's totient: 512
Sum of prime factors: 21

Primality

Prime factorization: 2 ⁹ × 3

Nearest primes: 1,531 (−5) · 1,543 (+7)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 192 · 256 · 384 · 512 · 768 (half) · 1536

Aliquot sum (sum of proper divisors): 2,556

Factor pairs (a × b = 1,536)

1 × 1536

2 × 768

3 × 512

4 × 384

6 × 256

8 × 192

12 × 128

16 × 96

24 × 64

32 × 48

First multiples

1,536 · 3,072 (double) · 4,608 · 6,144 · 7,680 · 9,216 · 10,752 · 12,288 · 13,824 · 15,360

Sums & aliquot sequence

As consecutive integers: 511 + 512 + 513

Aliquot sequence: 1,536 → 2,556 → 3,996 → 6,644 → 6,124 → 4,600 → 6,560 → 9,316 → 8,072 → 7,078 → 3,542 → 3,370 → 2,714 → 1,606 → 1,058 → 601 → 1 — unresolved within range

Continued fraction of √n

√1,536 = [39; (5, 4, 1, 2, 3, 19, 3, 2, 1, 4, 5, 78)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred thirty-six
Ordinal: 1536th
Roman numeral: MDXXXVI
Binary: 11000000000
Octal: 3000
Hexadecimal: 0x600
Base64: BgA=
One's complement: 63,999 (16-bit)
Scientific notation: 1.536 × 10³
As a duration: 1,536 s = 25 minutes, 36 seconds

In other bases

ternary (3) 2002220

quaternary (4) 120000

quinary (5) 22121

senary (6) 11040

septenary (7) 4323

nonary (9) 2086

undecimal (11) 1177

duodecimal (12) a80

tridecimal (13) 912

tetradecimal (14) 7ba

pentadecimal (15) 6c6

Palindromic in base 15

As an angle

1,536° = 4 × 360° + 96°

96° ≈ 1.676 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αφλϛʹ
Mayan (base 20): 𝋣·𝋰·𝋰
Chinese: 一千五百三十六
Chinese (financial): 壹仟伍佰參拾陸

In other modern scripts

Eastern Arabic ١٥٣٦ Devanagari १५३६ Bengali ১৫৩৬ Tamil ௧௫௩௬ Thai ๑๕๓๖ Tibetan ༡༥༣༦ Khmer ១៥៣៦ Lao ໑໕໓໖ Burmese ၁၅၃၆

Digit at this position in famous constants

π — Pi (π): Digit 1,536 = 1
e — Euler's number (e): Digit 1,536 = 6
φ — Golden ratio (φ): Digit 1,536 = 3
√2 — Pythagoras's (√2): Digit 1,536 = 2
ln 2 — Natural log of 2: Digit 1,536 = 6
γ — Euler-Mascheroni (γ): Digit 1,536 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1536, here are decompositions:

5 + 1531 = 1536
13 + 1523 = 1536
37 + 1499 = 1536
43 + 1493 = 1536
47 + 1489 = 1536
53 + 1483 = 1536
83 + 1453 = 1536
89 + 1447 = 1536

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Number Sign

U+0600

Format character (Cf)

UTF-8 encoding: D8 80 (2 bytes).

Lookup U+0600 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000600

RGB(0, 6, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.0.

Address: 0.0.6.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.0

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

Musical pitch

Heard as a frequency, 1,536 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, -36¢)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, +2¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, -34¢)

Position in π

The digit sequence 1536 first appears in π at position 344 of the decimal expansion (the 344ordinal-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 1536 on Pi Search ↗