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Number

1,728

1,728 is a composite number, even, a calendar year.

Abundant Number Evil Number Gapful Number Harshad / Niven Perfect Cube Powerful Number Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Notable events — 1728 AD

  1. Jan 29 John Gay's The Beggar's Opera premieres in London.
  2. Aug 1 Vitus Bering's expedition discovers the strait now bearing his name.
  3. 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

Nearest primes: 1,723 (−5) · 1,733 (+5)

Divisors & multiples

All divisors (28)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 64 · 72 · 96 · 108 · 144 · 192 · 216 · 288 · 432 · 576 · 864 (half) · 1728
Aliquot sum (sum of proper divisors): 3,352
Factor pairs (a × b = 1,728)
1 × 1728
2 × 864
3 × 576
4 × 432
6 × 288
8 × 216
9 × 192
12 × 144
16 × 108
18 × 96
24 × 72
27 × 64
32 × 54
36 × 48
First multiples
1,728 · 3,456 (double) · 5,184 · 6,912 · 8,640 · 10,368 · 12,096 · 13,824 · 15,552 · 17,280

Sums & aliquot sequence

As consecutive integers: 575 + 576 + 577 188 + 189 + … + 196 51 + 52 + … + 77
Aliquot sequence: 1,728 3,352 2,948 2,764 2,080 3,212 3,004 2,260 2,528 2,512 2,386 1,196 1,156 993 335 73 1 — unresolved within range

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)
In other bases
ternary (3) 2101000
quaternary (4) 123000
quinary (5) 23403
senary (6) 12000
septenary (7) 5016
nonary (9) 2330
undecimal (11) 1331
duodecimal (12) 1000
tridecimal (13) a2c
tetradecimal (14) 8b6
pentadecimal (15) 7a3

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
In other modern scripts
Eastern Arabic ١٧٢٨ Devanagari १७२८ Bengali ১৭২৮ Tamil ௧௭௨௮ Thai ๑๗๒๘ Tibetan ༡༧༢༨ Khmer ១៧២៨ Lao ໑໗໒໘ Burmese ၁၇၂၈

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 decomposition

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.

Unicode codepoint
ۀ
Arabic Letter Heh With Yeh Above
U+06C0
Other letter (Lo)

UTF-8 encoding: DB 80 (2 bytes).

Hex color
#0006C0
RGB(0, 6, 192)
IPv4 address

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.

Position in π

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.