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Number

1,559

1,559 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Emirp Evil Number Prime Recamán's Sequence Self Number Sexy Prime Sophie Germain Prime Squarefree Year

Notable events — 1559 AD

  1. Apr 3 The Peace of Cateau-Cambrésis ends the Italian Wars.
  2. Jul 10 Henry II of France dies of jousting injuries; Francis II succeeds.
  3. Apr 29 The Act of Supremacy and Act of Uniformity restore Protestantism in England.

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1559
Ended on
Thursday
December 31, 1559
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1550s
1550–1559
Century
16th century
1501–1600
Millennium
2nd millennium
1001–2000
Years ago
467
467 years before 2026.

In other calendars

Hebrew
5319 / 5320 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
966 / 967 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Goat
Sexagenary cycle position 56 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2102 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
937 / 938 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1551 / 1552 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1481 / 1480 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
225
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
9,551
Recamán's sequence
a(1,442) = 1,559
Square (n²)
2,430,481
Cube (n³)
3,789,119,879
Divisor count
2
σ(n) — sum of divisors
1,560
φ(n) — Euler's totient
1,558

Primality

1,559 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1559
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,559)
1 × 1559
First multiples
1,559 · 3,118 (double) · 4,677 · 6,236 · 7,795 · 9,354 · 10,913 · 12,472 · 14,031 · 15,590

Sums & aliquot sequence

As consecutive integers: 779 + 780

Representations

In words
one thousand five hundred fifty-nine
Ordinal
1559th
Roman numeral
MDLIX
Binary
11000010111
Octal
3027
Hexadecimal
0x617
Base64
Bhc=
One's complement
63,976 (16-bit)
In other bases
ternary (3) 2010202
quaternary (4) 120113
quinary (5) 22214
senary (6) 11115
septenary (7) 4355
nonary (9) 2122
undecimal (11) 1198
duodecimal (12) a9b
tridecimal (13) 92c
tetradecimal (14) 7d5
pentadecimal (15) 6de

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αφνθʹ
Mayan (base 20)
𝋣·𝋱·𝋳
Chinese
一千五百五十九
Chinese (financial)
壹仟伍佰伍拾玖
In other modern scripts
Eastern Arabic ١٥٥٩ Devanagari १५५९ Bengali ১৫৫৯ Tamil ௧௫௫௯ Thai ๑๕๕๙ Tibetan ༡༥༥༩ Khmer ១៥៥៩ Lao ໑໕໕໙ Burmese ၁၅၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,559 = 4
e — Euler's number (e)
Digit 1,559 = 5
φ — Golden ratio (φ)
Digit 1,559 = 9
√2 — Pythagoras's (√2)
Digit 1,559 = 3
ln 2 — Natural log of 2
Digit 1,559 = 0
γ — Euler-Mascheroni (γ)
Digit 1,559 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,553 (gap of 6)
  • Next prime: 1,567 (gap of 8)

Pair status: sexy with 1553.

Unicode codepoint
ؗ
Arabic Small High Zain
U+0617
Non-spacing mark (Mn)

UTF-8 encoding: D8 97 (2 bytes).

Hex color
#000617
RGB(0, 6, 23)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.23.

Address
0.0.6.23
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.23

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001559
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1559 first appears in π at position 2,215 of the decimal expansion (the 2,215ordinal-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.