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Number

1,644

1,644 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number Year

Notable events — 1644 AD

  1. Apr 25 Beijing falls to rebels; the Ming dynasty ends with the emperor's suicide.
  2. Jul 2 Parliamentarians win at Marston Moor.
  3. Jun 6 The Manchu Qing dynasty enters Beijing.

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
52
Started on
Friday
January 1, 1644
Ended on
Saturday
December 31, 1644
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
March 27
Sunday, March 27, 1644
Decade
1640s
1640–1649
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
382
382 years before 2026.

In other calendars

Hebrew
5404 / 5405 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1053 / 1054 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2187 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1022 / 1023 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1636 / 1637 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1566 / 1565 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
96
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
4,461
Recamán's sequence
a(1,028) = 1,644
Square (n²)
2,702,736
Cube (n³)
4,443,297,984
Divisor count
12
σ(n) — sum of divisors
3,864
φ(n) — Euler's totient
544
Sum of prime factors
144

Primality

Prime factorization: 2 2 × 3 × 137

Nearest primes: 1,637 (−7) · 1,657 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 137 · 274 · 411 · 548 · 822 (half) · 1644
Aliquot sum (sum of proper divisors): 2,220
Factor pairs (a × b = 1,644)
1 × 1644
2 × 822
3 × 548
4 × 411
6 × 274
12 × 137
First multiples
1,644 · 3,288 (double) · 4,932 · 6,576 · 8,220 · 9,864 · 11,508 · 13,152 · 14,796 · 16,440

Sums & aliquot sequence

As consecutive integers: 547 + 548 + 549 202 + 203 + … + 209 57 + 58 + … + 80
Aliquot sequence: 1,644 2,220 4,164 5,580 11,892 15,884 16,120 24,200 37,645 7,535 2,401 400 561 303 105 87 33 — unresolved within range

Representations

In words
one thousand six hundred forty-four
Ordinal
1644th
Roman numeral
MDCXLIV
Binary
11001101100
Octal
3154
Hexadecimal
0x66C
Base64
Bmw=
One's complement
63,891 (16-bit)
In other bases
ternary (3) 2020220
quaternary (4) 121230
quinary (5) 23034
senary (6) 11340
septenary (7) 4536
nonary (9) 2226
undecimal (11) 1265
duodecimal (12) b50
tridecimal (13) 996
tetradecimal (14) 856
pentadecimal (15) 749

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχμδʹ
Mayan (base 20)
𝋤·𝋢·𝋤
Chinese
一千六百四十四
Chinese (financial)
壹仟陸佰肆拾肆
In other modern scripts
Eastern Arabic ١٦٤٤ Devanagari १६४४ Bengali ১৬৪৪ Tamil ௧௬௪௪ Thai ๑๖๔๔ Tibetan ༡༦༤༤ Khmer ១៦៤៤ Lao ໑໖໔໔ Burmese ၁၆၄၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,644 = 7
e — Euler's number (e)
Digit 1,644 = 3
φ — Golden ratio (φ)
Digit 1,644 = 1
√2 — Pythagoras's (√2)
Digit 1,644 = 5
ln 2 — Natural log of 2
Digit 1,644 = 8
γ — Euler-Mascheroni (γ)
Digit 1,644 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1644, here are decompositions:

  • 7 + 1637 = 1644
  • 17 + 1627 = 1644
  • 23 + 1621 = 1644
  • 31 + 1613 = 1644
  • 37 + 1607 = 1644
  • 43 + 1601 = 1644
  • 47 + 1597 = 1644
  • 61 + 1583 = 1644

Showing the first eight; more decompositions exist.

Unicode codepoint
٬
Arabic Thousands Separator
U+066C
Other punctuation (Po)

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

Hex color
#00066C
RGB(0, 6, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.108.

Address
0.0.6.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.108

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

Position in π

The digit sequence 1644 first appears in π at position 3,370 of the decimal expansion (the 3,370ordinal-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.