Number

1,564

1,564 is a composite number, even, a calendar year.

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

Notable events — 1564 AD

Apr 26 William Shakespeare is baptized in Stratford-upon-Avon.
Feb 15 Galileo Galilei is born in Pisa.
Jul 25 Holy Roman Emperor Ferdinand I dies.

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, 1564
Ended on: Thursday
December 31, 1564
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1560s
1560–1569
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 462
462 years before 2026.

In other calendars

Hebrew: 5324 / 5325 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 971 / 972 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Rat
Sexagenary cycle position 1 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2107 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 942 / 943 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1556 / 1557 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1486 / 1485 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 16
Digit product: 120
Digital root: 7
Palindrome: No
Bit width: 11 bits
Reversed: 4,651
Recamán's sequence: a(1,432) = 1,564
Square (n²): 2,446,096
Cube (n³): 3,825,694,144
Divisor count: 12
σ(n) — sum of divisors: 3,024
φ(n) — Euler's totient: 704
Sum of prime factors: 44

Primality

Prime factorization: 2 ² × 17 × 23

Nearest primes: 1,559 (−5) · 1,567 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 17 · 23 · 34 · 46 · 68 · 92 · 391 · 782 (half) · 1564

Aliquot sum (sum of proper divisors): 1,460

Factor pairs (a × b = 1,564)

1 × 1564

2 × 782

4 × 391

17 × 92

23 × 68

34 × 46

First multiples

1,564 · 3,128 (double) · 4,692 · 6,256 · 7,820 · 9,384 · 10,948 · 12,512 · 14,076 · 15,640

Sums & aliquot sequence

As consecutive integers: 192 + 193 + … + 199 84 + 85 + … + 100 57 + 58 + … + 79

Aliquot sequence: 1,564 → 1,460 → 1,648 → 1,576 → 1,394 → 874 → 566 → 286 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 — unresolved within range

Representations

In words: one thousand five hundred sixty-four
Ordinal: 1564th
Roman numeral: MDLXIV
Binary: 11000011100
Octal: 3034
Hexadecimal: 0x61C
Base64: Bhw=
One's complement: 63,971 (16-bit)

In other bases

ternary (3) 2010221

quaternary (4) 120130

quinary (5) 22224

senary (6) 11124

septenary (7) 4363

nonary (9) 2127

undecimal (11) 11a2

duodecimal (12) aa4

tridecimal (13) 934

tetradecimal (14) 7da

pentadecimal (15) 6e4

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αφξδʹ
Mayan (base 20): 𝋣·𝋲·𝋤
Chinese: 一千五百六十四
Chinese (financial): 壹仟伍佰陸拾肆

In other modern scripts

Eastern Arabic ١٥٦٤ Devanagari १५६४ Bengali ১৫৬৪ Tamil ௧௫௬௪ Thai ๑๕๖๔ Tibetan ༡༥༦༤ Khmer ១៥៦៤ Lao ໑໕໖໔ Burmese ၁၅၆၄

Digit at this position in famous constants

π — Pi (π): Digit 1,564 = 2
e — Euler's number (e): Digit 1,564 = 4
φ — Golden ratio (φ): Digit 1,564 = 4
√2 — Pythagoras's (√2): Digit 1,564 = 5
ln 2 — Natural log of 2: Digit 1,564 = 2
γ — Euler-Mascheroni (γ): Digit 1,564 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1564, here are decompositions:

5 + 1559 = 1564
11 + 1553 = 1564
41 + 1523 = 1564
53 + 1511 = 1564
71 + 1493 = 1564
83 + 1481 = 1564
113 + 1451 = 1564
131 + 1433 = 1564

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Mark

U+061C

Format character (Cf)

UTF-8 encoding: D8 9C (2 bytes).

Lookup U+061C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00061C

RGB(0, 6, 28)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.28.

Address: 0.0.6.28
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.28

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

Position in π

The digit sequence 1564 first appears in π at position 16,079 of the decimal expansion (the 16,079ordinal-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 1564 on Pi Search ↗