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Number

1,643

1,643 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Semiprime Squarefree Year

Notable events — 1643 AD

  1. May 14 Louis XIV becomes king of France at age four; his mother Anne of Austria becomes regent.
  2. May 19 France defeats Spain at Rocroi, signaling the end of Spanish military dominance.
  3. Sep 25 Parliament adopts the Solemn League and Covenant with Scotland.

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, 1643
Ended on
Thursday
December 31, 1643
Friday the 13ths
3
3 Friday the 13ths this year.
Easter Sunday
April 5
Sunday, April 5, 1643
Decade
1640s
1640–1649
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
383
383 years before 2026.

In other calendars

Hebrew
5403 / 5404 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1052 / 1053 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Goat
Sexagenary cycle position 20 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2186 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1021 / 1022 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1635 / 1636 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1565 / 1564 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
72
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
3,461
Square (n²)
2,699,449
Cube (n³)
4,435,194,707
Divisor count
4
σ(n) — sum of divisors
1,728
φ(n) — Euler's totient
1,560
Sum of prime factors
84

Primality

Prime factorization: 31 × 53

Nearest primes: 1,637 (−6) · 1,657 (+14)

Divisors & multiples

All divisors (4)
1 · 31 · 53 · 1643
Aliquot sum (sum of proper divisors): 85
Factor pairs (a × b = 1,643)
1 × 1643
31 × 53
First multiples
1,643 · 3,286 (double) · 4,929 · 6,572 · 8,215 · 9,858 · 11,501 · 13,144 · 14,787 · 16,430

Sums & aliquot sequence

As consecutive integers: 821 + 822 38 + 39 + … + 68 5 + 6 + … + 57
Aliquot sequence: 1,643 85 23 1 0 — terminates at zero

Representations

In words
one thousand six hundred forty-three
Ordinal
1643rd
Roman numeral
MDCXLIII
Binary
11001101011
Octal
3153
Hexadecimal
0x66B
Base64
Bms=
One's complement
63,892 (16-bit)
In other bases
ternary (3) 2020212
quaternary (4) 121223
quinary (5) 23033
senary (6) 11335
septenary (7) 4535
nonary (9) 2225
undecimal (11) 1264
duodecimal (12) b4b
tridecimal (13) 995
tetradecimal (14) 855
pentadecimal (15) 748

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵αχμγʹ
Mayan (base 20)
𝋤·𝋢·𝋣
Chinese
一千六百四十三
Chinese (financial)
壹仟陸佰肆拾參
In other modern scripts
Eastern Arabic ١٦٤٣ Devanagari १६४३ Bengali ১৬৪৩ Tamil ௧௬௪௩ Thai ๑๖๔๓ Tibetan ༡༦༤༣ Khmer ១៦៤៣ Lao ໑໖໔໓ Burmese ၁၆၄၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,643 = 9
e — Euler's number (e)
Digit 1,643 = 8
φ — Golden ratio (φ)
Digit 1,643 = 0
√2 — Pythagoras's (√2)
Digit 1,643 = 3
ln 2 — Natural log of 2
Digit 1,643 = 8
γ — Euler-Mascheroni (γ)
Digit 1,643 = 2

Also seen as

Unicode codepoint
٫
Arabic Decimal Separator
U+066B
Other punctuation (Po)

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

Hex color
#00066B
RGB(0, 6, 107)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.107.

Address
0.0.6.107
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.107

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
000001643
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 1643 first appears in π at position 5,754 of the decimal expansion (the 5,754ordinal-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.