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Number

1,645

1,645 is a composite number, odd, a calendar year.

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

Notable events — 1645 AD

  1. Jun 14 Cromwell's New Model Army crushes the royalists at Naseby.
  2. Jan 10 Archbishop William Laud is executed in London.
  3. Sep 13 Royalists surrender Bristol.

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
Sunday
January 1, 1645
Ended on
Sunday
December 31, 1645
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 16
Sunday, April 16, 1645
Decade
1640s
1640–1649
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
381
381 years before 2026.

In other calendars

Hebrew
5405 / 5406 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1054 / 1055 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Rooster
Sexagenary cycle position 22 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2188 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1023 / 1024 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1637 / 1638 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1567 / 1566 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
120
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
5,461
Recamán's sequence
a(1,030) = 1,645
Square (n²)
2,706,025
Cube (n³)
4,451,411,125
Divisor count
8
σ(n) — sum of divisors
2,304
φ(n) — Euler's totient
1,104
Sum of prime factors
59

Primality

Prime factorization: 5 × 7 × 47

Nearest primes: 1,637 (−8) · 1,657 (+12)

Divisors & multiples

All divisors (8)
1 · 5 · 7 · 35 · 47 · 235 · 329 · 1645
Aliquot sum (sum of proper divisors): 659
Factor pairs (a × b = 1,645)
1 × 1645
5 × 329
7 × 235
35 × 47
First multiples
1,645 · 3,290 (double) · 4,935 · 6,580 · 8,225 · 9,870 · 11,515 · 13,160 · 14,805 · 16,450

Sums & aliquot sequence

As consecutive integers: 822 + 823 327 + 328 + 329 + 330 + 331 232 + 233 + … + 238 160 + 161 + … + 169
Aliquot sequence: 1,645 659 1 0 — terminates at zero

Representations

In words
one thousand six hundred forty-five
Ordinal
1645th
Roman numeral
MDCXLV
Binary
11001101101
Octal
3155
Hexadecimal
0x66D
Base64
Bm0=
One's complement
63,890 (16-bit)
In other bases
ternary (3) 2020221
quaternary (4) 121231
quinary (5) 23040
senary (6) 11341
septenary (7) 4540
nonary (9) 2227
undecimal (11) 1266
duodecimal (12) b51
tridecimal (13) 997
tetradecimal (14) 857
pentadecimal (15) 74a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχμεʹ
Mayan (base 20)
𝋤·𝋢·𝋥
Chinese
一千六百四十五
Chinese (financial)
壹仟陸佰肆拾伍
In other modern scripts
Eastern Arabic ١٦٤٥ Devanagari १६४५ Bengali ১৬৪৫ Tamil ௧௬௪௫ Thai ๑๖๔๕ Tibetan ༡༦༤༥ Khmer ១៦៤៥ Lao ໑໖໔໕ Burmese ၁၆၄၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,645 = 3
e — Euler's number (e)
Digit 1,645 = 6
φ — Golden ratio (φ)
Digit 1,645 = 6
√2 — Pythagoras's (√2)
Digit 1,645 = 2
ln 2 — Natural log of 2
Digit 1,645 = 5
γ — Euler-Mascheroni (γ)
Digit 1,645 = 2

Also seen as

Unicode codepoint
٭
Arabic Five Pointed Star
U+066D
Other punctuation (Po)

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

Hex color
#00066D
RGB(0, 6, 109)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.109.

Address
0.0.6.109
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.109

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

Position in π

The digit sequence 1645 first appears in π at position 26,615 of the decimal expansion (the 26,615ordinal-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.