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Number

1,646

1,646 is a composite number, even, a calendar year.

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

Notable events — 1646 AD

  1. May 5 Charles I surrenders to Scottish forces.
  2. Mar 26 The First English Civil War effectively ends.
  3. Sep 16 The siege of Dunkirk ends with a French victory.

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
Monday
January 1, 1646
Ended on
Monday
December 31, 1646
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 1
Sunday, April 1, 1646
Decade
1640s
1640–1649
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
380
380 years before 2026.

In other calendars

Hebrew
5406 / 5407 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1055 / 1056 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2189 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1024 / 1025 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1638 / 1639 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1568 / 1567 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
6,461
Recamán's sequence
a(764) = 1,646
Square (n²)
2,709,316
Cube (n³)
4,459,534,136
Divisor count
4
σ(n) — sum of divisors
2,472
φ(n) — Euler's totient
822
Sum of prime factors
825

Primality

Prime factorization: 2 × 823

Nearest primes: 1,637 (−9) · 1,657 (+11)

Divisors & multiples

All divisors (4)
1 · 2 · 823 (half) · 1646
Aliquot sum (sum of proper divisors): 826
Factor pairs (a × b = 1,646)
1 × 1646
2 × 823
First multiples
1,646 · 3,292 (double) · 4,938 · 6,584 · 8,230 · 9,876 · 11,522 · 13,168 · 14,814 · 16,460

Sums & aliquot sequence

As consecutive integers: 410 + 411 + 412 + 413
Aliquot sequence: 1,646 826 614 310 266 214 110 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
one thousand six hundred forty-six
Ordinal
1646th
Roman numeral
MDCXLVI
Binary
11001101110
Octal
3156
Hexadecimal
0x66E
Base64
Bm4=
One's complement
63,889 (16-bit)
In other bases
ternary (3) 2020222
quaternary (4) 121232
quinary (5) 23041
senary (6) 11342
septenary (7) 4541
nonary (9) 2228
undecimal (11) 1267
duodecimal (12) b52
tridecimal (13) 998
tetradecimal (14) 858
pentadecimal (15) 74b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχμϛʹ
Mayan (base 20)
𝋤·𝋢·𝋦
Chinese
一千六百四十六
Chinese (financial)
壹仟陸佰肆拾陸
In other modern scripts
Eastern Arabic ١٦٤٦ Devanagari १६४६ Bengali ১৬৪৬ Tamil ௧௬௪௬ Thai ๑๖๔๖ Tibetan ༡༦༤༦ Khmer ១៦៤៦ Lao ໑໖໔໖ Burmese ၁၆၄၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,646 = 5
e — Euler's number (e)
Digit 1,646 = 9
φ — Golden ratio (φ)
Digit 1,646 = 8
√2 — Pythagoras's (√2)
Digit 1,646 = 5
ln 2 — Natural log of 2
Digit 1,646 = 7
γ — Euler-Mascheroni (γ)
Digit 1,646 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1646, here are decompositions:

  • 19 + 1627 = 1646
  • 37 + 1609 = 1646
  • 67 + 1579 = 1646
  • 79 + 1567 = 1646
  • 97 + 1549 = 1646
  • 103 + 1543 = 1646
  • 157 + 1489 = 1646
  • 163 + 1483 = 1646

Showing the first eight; more decompositions exist.

Unicode codepoint
ٮ
Arabic Letter Dotless Beh
U+066E
Other letter (Lo)

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

Hex color
#00066E
RGB(0, 6, 110)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.110.

Address
0.0.6.110
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.110

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

Position in π

The digit sequence 1646 first appears in π at position 9,635 of the decimal expansion (the 9,635ordinal-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.