Number

1,632

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

1,632 (one thousand six hundred thirty-two) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 17. Its proper divisors sum to 2,904, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCXXXII and in binary, 11001100000.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,620 1,621 1,622 1,623 1,624 1,625 1,626 1,627 1,628 1,629 1,630 1,631 1,632 1,633 1,634 1,635 1,636 1,637 1,638 1,639 1,640 1,641 1,642 1,643 1,644

less more

Notable events — 1632 AD

Nov 16 Gustavus Adolphus is killed at the Battle of Lützen but Sweden wins the day.
Feb 22 Galileo publishes his Dialogue Concerning the Two Chief World Systems.
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

Continued fraction of √n

√1,632 = [40; (2, 1, 1, 19, 1, 1, 2, 80)]

Period length 8 — the block in parentheses repeats forever.

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)
Scientific notation: 1.632 × 10³
As a duration: 1,632 s = 27 minutes, 12 seconds

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

Palindromic in base 14

As an angle

1,632° = 4 × 360° + 192°

192° ≈ 3.351 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

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

Arabic-Indic Digit Zero

U+0660

Decimal digit (Nd)

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

Lookup U+0660 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,632 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, -31¢)
Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, +7¢)
Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, -29¢)

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.

Look up 1632 on Pi Search ↗