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Number

1,744

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

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

Notable events — 1744 AD

  1. Mar 31 Britain declares war on France in King George's War.
  2. Aug 15 The Second Silesian War begins.
  3. 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

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)
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

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
ې
Arabic Letter E
U+06D0
Other letter (Lo)

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

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.

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.