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Number

1,659

1,659 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Harshad / Niven Recamán's Sequence Sphenic Number Squarefree Year

Notable events — 1659 AD

  1. Nov 7 The Treaty of the Pyrenees ends the Franco-Spanish War.
  2. May 25 Richard Cromwell abdicates as Lord Protector.
  3. Undated Christiaan Huygens publishes Systema Saturnium describing Saturn's rings.

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
Wednesday
January 1, 1659
Ended on
Wednesday
December 31, 1659
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 13
Sunday, April 13, 1659
Decade
1650s
1650–1659
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
367
367 years before 2026.

In other calendars

Hebrew
5419 / 5420 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1069 / 1070 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Pig
Sexagenary cycle position 36 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2202 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1037 / 1038 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1651 / 1652 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1581 / 1580 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
21
Digit product
270
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
9,561
Recamán's sequence
a(786) = 1,659
Square (n²)
2,752,281
Cube (n³)
4,566,034,179
Divisor count
8
σ(n) — sum of divisors
2,560
φ(n) — Euler's totient
936
Sum of prime factors
89

Primality

Prime factorization: 3 × 7 × 79

Nearest primes: 1,657 (−2) · 1,663 (+4)

Divisors & multiples

All divisors (8)
1 · 3 · 7 · 21 · 79 · 237 · 553 · 1659
Aliquot sum (sum of proper divisors): 901
Factor pairs (a × b = 1,659)
1 × 1659
3 × 553
7 × 237
21 × 79
First multiples
1,659 · 3,318 (double) · 4,977 · 6,636 · 8,295 · 9,954 · 11,613 · 13,272 · 14,931 · 16,590

Sums & aliquot sequence

As consecutive integers: 829 + 830 552 + 553 + 554 274 + 275 + 276 + 277 + 278 + 279 234 + 235 + … + 240
Aliquot sequence: 1,659 901 71 1 0 — terminates at zero

Representations

In words
one thousand six hundred fifty-nine
Ordinal
1659th
Roman numeral
MDCLIX
Binary
11001111011
Octal
3173
Hexadecimal
0x67B
Base64
Bns=
One's complement
63,876 (16-bit)
In other bases
ternary (3) 2021110
quaternary (4) 121323
quinary (5) 23114
senary (6) 11403
septenary (7) 4560
nonary (9) 2243
undecimal (11) 1279
duodecimal (12) b63
tridecimal (13) 9a8
tetradecimal (14) 867
pentadecimal (15) 759

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχνθʹ
Mayan (base 20)
𝋤·𝋢·𝋳
Chinese
一千六百五十九
Chinese (financial)
壹仟陸佰伍拾玖
In other modern scripts
Eastern Arabic ١٦٥٩ Devanagari १६५९ Bengali ১৬৫৯ Tamil ௧௬௫௯ Thai ๑๖๕๙ Tibetan ༡༦༥༩ Khmer ១៦៥៩ Lao ໑໖໕໙ Burmese ၁၆၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,659 = 5
e — Euler's number (e)
Digit 1,659 = 7
φ — Golden ratio (φ)
Digit 1,659 = 0
√2 — Pythagoras's (√2)
Digit 1,659 = 8
ln 2 — Natural log of 2
Digit 1,659 = 0
γ — Euler-Mascheroni (γ)
Digit 1,659 = 9

Also seen as

Unicode codepoint
ٻ
Arabic Letter Beeh
U+067B
Other letter (Lo)

UTF-8 encoding: D9 BB (2 bytes).

Hex color
#00067B
RGB(0, 6, 123)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.123.

Address
0.0.6.123
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.123

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

Position in π

The digit sequence 1659 first appears in π at position 27,998 of the decimal expansion (the 27,998ordinal-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.