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Number

1,632

1,632 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Notable events — 1632 AD

  1. Nov 16 Gustavus Adolphus is killed at the Battle of Lützen but Sweden wins the day.
  2. Feb 22 Galileo publishes his Dialogue Concerning the Two Chief World Systems.
  3. Mar 24 Lord Baltimore is granted the Maryland colony.

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1632
Ended on
Friday
December 31, 1632
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 11
Sunday, April 11, 1632
Decade
1630s
1630–1639
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
394
394 years before 2026.

In other calendars

Hebrew
5392 / 5393 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1041 / 1042 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2175 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1010 / 1011 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1624 / 1625 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1554 / 1553 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
36
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
2,361
Recamán's sequence
a(688) = 1,632
Square (n²)
2,663,424
Cube (n³)
4,346,707,968
Divisor count
24
σ(n) — sum of divisors
4,536
φ(n) — Euler's totient
512
Sum of prime factors
30

Primality

Prime factorization: 2 5 × 3 × 17

Nearest primes: 1,627 (−5) · 1,637 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 17 · 24 · 32 · 34 · 48 · 51 · 68 · 96 · 102 · 136 · 204 · 272 · 408 · 544 · 816 (half) · 1632
Aliquot sum (sum of proper divisors): 2,904
Factor pairs (a × b = 1,632)
1 × 1632
2 × 816
3 × 544
4 × 408
6 × 272
8 × 204
12 × 136
16 × 102
17 × 96
24 × 68
32 × 51
34 × 48
First multiples
1,632 · 3,264 (double) · 4,896 · 6,528 · 8,160 · 9,792 · 11,424 · 13,056 · 14,688 · 16,320

Sums & aliquot sequence

As consecutive integers: 543 + 544 + 545 88 + 89 + … + 104 7 + 8 + … + 57
Aliquot sequence: 1,632 2,904 5,076 8,364 12,804 20,124 35,932 31,884 42,540 76,740 138,300 262,716 350,316 562,596 762,588 1,307,172 1,777,084 — unresolved within range

Representations

In words
one thousand six hundred thirty-two
Ordinal
1632nd
Roman numeral
MDCXXXII
Binary
11001100000
Octal
3140
Hexadecimal
0x660
Base64
BmA=
One's complement
63,903 (16-bit)
In other bases
ternary (3) 2020110
quaternary (4) 121200
quinary (5) 23012
senary (6) 11320
septenary (7) 4521
nonary (9) 2213
undecimal (11) 1254
duodecimal (12) b40
tridecimal (13) 987
tetradecimal (14) 848
pentadecimal (15) 73c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αχλβʹ
Mayan (base 20)
𝋤·𝋡·𝋬
Chinese
一千六百三十二
Chinese (financial)
壹仟陸佰參拾貳
In other modern scripts
Eastern Arabic ١٦٣٢ Devanagari १६३२ Bengali ১৬৩২ Tamil ௧௬௩௨ Thai ๑๖๓๒ Tibetan ༡༦༣༢ Khmer ១៦៣២ Lao ໑໖໓໒ Burmese ၁၆၃၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,632 = 7
e — Euler's number (e)
Digit 1,632 = 3
φ — Golden ratio (φ)
Digit 1,632 = 5
√2 — Pythagoras's (√2)
Digit 1,632 = 6
ln 2 — Natural log of 2
Digit 1,632 = 1
γ — Euler-Mascheroni (γ)
Digit 1,632 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1632, here are decompositions:

  • 5 + 1627 = 1632
  • 11 + 1621 = 1632
  • 13 + 1619 = 1632
  • 19 + 1613 = 1632
  • 23 + 1609 = 1632
  • 31 + 1601 = 1632
  • 53 + 1579 = 1632
  • 61 + 1571 = 1632

Showing the first eight; more decompositions exist.

Unicode codepoint
٠
Arabic-Indic Digit Zero
U+0660
Decimal digit (Nd)

UTF-8 encoding: D9 A0 (2 bytes).

Hex color
#000660
RGB(0, 6, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.96.

Address
0.0.6.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.96

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

Position in π

The digit sequence 1632 first appears in π at position 9,192 of the decimal expansion (the 9,192ordinal-suffix:nd 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.