1,728
1,728 is a composite number, even, a calendar year.
1,728 (one thousand seven hundred twenty-eight) is an even 4-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 3³. Its proper divisors sum to 3,352, more than the number itself, making it an abundant number. It is a perfect cube (12³). Written other ways, in Roman numerals it is MDCCXXVIII and in binary, 11011000000.
Interestingness
Notable events — 1728 AD
- Jan 29 John Gay's The Beggar's Opera premieres in London.
- Aug 1 Vitus Bering's expedition discovers the strait now bearing his name.
- Undated James Bradley discovers the aberration of light.
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, 1728
- Ended on
-
Friday
December 31, 1728
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Easter Sunday
-
March 28
Sunday, March 28, 1728
- Decade
-
1720s
1720–1729
- Century
-
18th century
1701–1800
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
298
298 years before 2026.
In other calendars
- Hebrew
-
5488 / 5489 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
1140 / 1141 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
2271 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
1106 / 1107 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1720 / 1721 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1650 / 1649 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 18
- Digit product
- 112
- Digital root
- 9
- Palindrome
- No
- Bit width
- 11 bits
- Reversed
- 8,271
- Recamán's sequence
- a(1,196) = 1,728
- Square (n²)
- 2,985,984
- Cube (n³)
- 5,159,780,352
- Cube root (∛n)
- 12
- Divisor count
- 28
- σ(n) — sum of divisors
- 5,080
- φ(n) — Euler's totient
- 576
- Sum of prime factors
- 21
Primality
Prime factorization: 2 6 × 3 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,728 = [41; (1, 1, 3, 8, 1, 19, 1, 8, 3, 1, 1, 82)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one thousand seven hundred twenty-eight
- Ordinal
- 1728th
- Roman numeral
- MDCCXXVIII
- Binary
- 11011000000
- Octal
- 3300
- Hexadecimal
- 0x6C0
- Base64
- BsA=
- One's complement
- 63,807 (16-bit)
- Scientific notation
- 1.728 × 10³
- As a duration
- 1,728 s = 28 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αψκηʹ
- Mayan (base 20)
- 𝋤·𝋦·𝋨
- Chinese
- 一千七百二十八
- Chinese (financial)
- 壹仟柒佰貳拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,728 = 6
- e — Euler's number (e)
- Digit 1,728 = 9
- φ — Golden ratio (φ)
- Digit 1,728 = 5
- √2 — Pythagoras's (√2)
- Digit 1,728 = 5
- ln 2 — Natural log of 2
- Digit 1,728 = 8
- γ — Euler-Mascheroni (γ)
- Digit 1,728 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1728, here are decompositions:
- 5 + 1723 = 1728
- 7 + 1721 = 1728
- 19 + 1709 = 1728
- 29 + 1699 = 1728
- 31 + 1697 = 1728
- 59 + 1669 = 1728
- 61 + 1667 = 1728
- 71 + 1657 = 1728
Showing the first eight; more decompositions exist.
UTF-8 encoding: DB 80 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.192.
- Address
- 0.0.6.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.6.192
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,728 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A6 (1760 Hz, -32¢)
- Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, +6¢)
- Baroque pitch (A4 = 415 Hz): A♯6 (1758.7 Hz, -30¢)
The digit sequence 1728 first appears in π at position 1,946 of the decimal expansion (the 1,946ordinal-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.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.