1,748
1,748 is a composite number, even, a calendar year.
1,748 (one thousand seven hundred forty-eight) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 19 × 23. Written other ways, in Roman numerals it is MDCCXLVIII and in binary, 11011010100.
Interestingness
Notable events — 1748 AD
- Oct 18 The Treaty of Aix-la-Chapelle ends the War of the Austrian Succession.
- Apr 6 Workers begin excavating Pompeii.
- Mar 7 Captain Charles Knowles attacks La Guaira.
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
- 52
- Started on
-
Monday
January 1, 1748
- Ended on
-
Tuesday
December 31, 1748
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Easter Sunday
-
April 14
Sunday, April 14, 1748
- Decade
-
1740s
1740–1749
- Century
-
18th century
1701–1800
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
278
278 years before 2026.
In other calendars
- Hebrew
-
5508 / 5509 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
1161 / 1162 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
2291 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
1126 / 1127 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1740 / 1741 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1670 / 1669 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 2 × 19 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,748 = [41; (1, 4, 4, 4, 1, 82)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one thousand seven hundred forty-eight
- Ordinal
- 1748th
- Roman numeral
- MDCCXLVIII
- Binary
- 11011010100
- Octal
- 3324
- Hexadecimal
- 0x6D4
- Base64
- BtQ=
- One's complement
- 63,787 (16-bit)
- Scientific notation
- 1.748 × 10³
- As a duration
- 1,748 s = 29 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αψμηʹ
- Mayan (base 20)
- 𝋤·𝋧·𝋨
- Chinese
- 一千七百四十八
- Chinese (financial)
- 壹仟柒佰肆拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,748 = 2
- e — Euler's number (e)
- Digit 1,748 = 7
- φ — Golden ratio (φ)
- Digit 1,748 = 0
- √2 — Pythagoras's (√2)
- Digit 1,748 = 1
- ln 2 — Natural log of 2
- Digit 1,748 = 2
- γ — Euler-Mascheroni (γ)
- Digit 1,748 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1748, here are decompositions:
- 7 + 1741 = 1748
- 79 + 1669 = 1748
- 127 + 1621 = 1748
- 139 + 1609 = 1748
- 151 + 1597 = 1748
- 181 + 1567 = 1748
- 199 + 1549 = 1748
- 277 + 1471 = 1748
Showing the first eight; more decompositions exist.
UTF-8 encoding: DB 94 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.212.
- Address
- 0.0.6.212
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.6.212
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,748 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A6 (1760 Hz, -12¢)
- Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, +26¢)
- Baroque pitch (A4 = 415 Hz): A♯6 (1758.7 Hz, -11¢)
The digit sequence 1748 first appears in π at position 319 of the decimal expansion (the 319ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.