Number

1,744

1,744 is a composite number, even, a calendar year.

1,744 (one thousand seven hundred forty-four) is an even 4-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 109. Written other ways, in Roman numerals it is MDCCXLIV and in binary, 11011010000.

Arithmetic Number Deficient Number Happy Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,732 1,733 1,734 1,735 1,736 1,737 1,738 1,739 1,740 1,741 1,742 1,743 1,744 1,745 1,746 1,747 1,748 1,749 1,750 1,751 1,752 1,753 1,754 1,755 1,756

less more

Notable events — 1744 AD

Mar 31 Britain declares war on France in King George's War.
Aug 15 The Second Silesian War begins.
Sep 5 Frederick the Great invades Bohemia.

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: Wednesday
January 1, 1744
Ended on: Thursday
December 31, 1744
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: April 5
Sunday, April 5, 1744
Decade: 1740s
1740–1749
Century: 18th century
1701–1800
Millennium: 2nd millennium
1001–2000
Years ago: 282
282 years before 2026.

In other calendars

Hebrew: 5504 / 5505 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1156 / 1157 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Rat
Sexagenary cycle position 1 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2287 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1122 / 1123 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1736 / 1737 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1666 / 1665 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 16
Digit product: 112
Digital root: 7
Palindrome: No
Bit width: 11 bits
Reversed: 4,471
Recamán's sequence: a(1,228) = 1,744
Square (n²): 3,041,536
Cube (n³): 5,304,438,784
Divisor count: 10
σ(n) — sum of divisors: 3,410
φ(n) — Euler's totient: 864
Sum of prime factors: 117

Primality

Prime factorization: 2 ⁴ × 109

Nearest primes: 1,741 (−3) · 1,747 (+3)

Divisors & multiples

All divisors (10)

1 · 2 · 4 · 8 · 16 · 109 · 218 · 436 · 872 (half) · 1744

Aliquot sum (sum of proper divisors): 1,666

Factor pairs (a × b = 1,744)

1 × 1744

2 × 872

4 × 436

8 × 218

16 × 109

First multiples

1,744 · 3,488 (double) · 5,232 · 6,976 · 8,720 · 10,464 · 12,208 · 13,952 · 15,696 · 17,440

Sums & aliquot sequence

As a sum of two squares: 12² + 40²

As consecutive integers: 39 + 40 + … + 70

Aliquot sequence: 1,744 → 1,666 → 1,412 → 1,066 → 698 → 352 → 404 → 310 → 266 → 214 → 110 → 106 → 56 → 64 → 63 → 41 → 1 — unresolved within range

Continued fraction of √n

√1,744 = [41; (1, 3, 5, 3, 6, 1, 1, 1, 4, 1, 11, 9, 5, 9, 11, 1, 4, 1, 1, 1, 6, 3, 5, 3, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one thousand seven hundred forty-four
Ordinal: 1744th
Roman numeral: MDCCXLIV
Binary: 11011010000
Octal: 3320
Hexadecimal: 0x6D0
Base64: BtA=
One's complement: 63,791 (16-bit)
Scientific notation: 1.744 × 10³
As a duration: 1,744 s = 29 minutes, 4 seconds

In other bases

ternary (3) 2101121

quaternary (4) 123100

quinary (5) 23434

senary (6) 12024

septenary (7) 5041

nonary (9) 2347

undecimal (11) 1346

duodecimal (12) 1014

tridecimal (13) a42

tetradecimal (14) 8c8

pentadecimal (15) 7b4

Palindromic in base 14

As an angle

1,744° = 4 × 360° + 304°

304° ≈ 5.306 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αψμδʹ
Mayan (base 20): 𝋤·𝋧·𝋤
Chinese: 一千七百四十四
Chinese (financial): 壹仟柒佰肆拾肆

In other modern scripts

Eastern Arabic ١٧٤٤ Devanagari १७४४ Bengali ১৭৪৪ Tamil ௧௭௪௪ Thai ๑๗๔๔ Tibetan ༡༧༤༤ Khmer ១៧៤៤ Lao ໑໗໔໔ Burmese ၁၇၄၄

Digit at this position in famous constants

π — Pi (π): Digit 1,744 = 2
e — Euler's number (e): Digit 1,744 = 2
φ — Golden ratio (φ): Digit 1,744 = 8
√2 — Pythagoras's (√2): Digit 1,744 = 5
ln 2 — Natural log of 2: Digit 1,744 = 4
γ — Euler-Mascheroni (γ): Digit 1,744 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1744, here are decompositions:

3 + 1741 = 1744
11 + 1733 = 1744
23 + 1721 = 1744
47 + 1697 = 1744
107 + 1637 = 1744
131 + 1613 = 1744
137 + 1607 = 1744
173 + 1571 = 1744

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter E

U+06D0

Other letter (Lo)

UTF-8 encoding: DB 90 (2 bytes).

Lookup U+06D0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0006D0

RGB(0, 6, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.208.

Address: 0.0.6.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.208

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

Musical pitch

Heard as a frequency, 1,744 Hz is closest to:

Concert pitch (A4 = 440 Hz): A6 (1760 Hz, -16¢)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, +22¢)
Baroque pitch (A4 = 415 Hz): A♯6 (1758.7 Hz, -15¢)

Position in π

The digit sequence 1744 first appears in π at position 24,170 of the decimal expansion (the 24,170ordinal-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.

Look up 1744 on Pi Search ↗