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Number

1,745

1,745 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Happy Number Recamán's Sequence Semiprime Squarefree Year

Notable events — 1745 AD

  1. May 11 France defeats an Anglo-Allied army at Fontenoy.
  2. Jun 28 British colonial forces capture Louisbourg.
  3. Aug 19 Charles Edward Stuart raises the Jacobite standard, beginning the 1745 Rising.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Friday
January 1, 1745
Ended on
Friday
December 31, 1745
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 18
Sunday, April 18, 1745
Decade
1740s
1740–1749
Century
18th century
1701–1800
Millennium
2nd millennium
1001–2000
Years ago
281
281 years before 2026.

In other calendars

Hebrew
5505 / 5506 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1157 / 1158 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Ox
Sexagenary cycle position 2 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2288 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1123 / 1124 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1737 / 1738 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1667 / 1666 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
140
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
5,471
Recamán's sequence
a(16,209) = 1,745
Square (n²)
3,045,025
Cube (n³)
5,313,568,625
Divisor count
4
σ(n) — sum of divisors
2,100
φ(n) — Euler's totient
1,392
Sum of prime factors
354

Primality

Prime factorization: 5 × 349

Nearest primes: 1,741 (−4) · 1,747 (+2)

Divisors & multiples

All divisors (4)
1 · 5 · 349 · 1745
Aliquot sum (sum of proper divisors): 355
Factor pairs (a × b = 1,745)
1 × 1745
5 × 349
First multiples
1,745 · 3,490 (double) · 5,235 · 6,980 · 8,725 · 10,470 · 12,215 · 13,960 · 15,705 · 17,450

Sums & aliquot sequence

As a sum of two squares: 8² + 41² = 28² + 31²
As consecutive integers: 872 + 873 347 + 348 + 349 + 350 + 351 170 + 171 + … + 179
Aliquot sequence: 1,745 355 77 19 1 0 — terminates at zero

Representations

In words
one thousand seven hundred forty-five
Ordinal
1745th
Roman numeral
MDCCXLV
Binary
11011010001
Octal
3321
Hexadecimal
0x6D1
Base64
BtE=
One's complement
63,790 (16-bit)
In other bases
ternary (3) 2101122
quaternary (4) 123101
quinary (5) 23440
senary (6) 12025
septenary (7) 5042
nonary (9) 2348
undecimal (11) 1347
duodecimal (12) 1015
tridecimal (13) a43
tetradecimal (14) 8c9
pentadecimal (15) 7b5

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αψμεʹ
Mayan (base 20)
𝋤·𝋧·𝋥
Chinese
一千七百四十五
Chinese (financial)
壹仟柒佰肆拾伍
In other modern scripts
Eastern Arabic ١٧٤٥ Devanagari १७४५ Bengali ১৭৪৫ Tamil ௧௭௪௫ Thai ๑๗๔๕ Tibetan ༡༧༤༥ Khmer ១៧៤៥ Lao ໑໗໔໕ Burmese ၁၇၄၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,745 = 5
e — Euler's number (e)
Digit 1,745 = 7
φ — Golden ratio (φ)
Digit 1,745 = 1
√2 — Pythagoras's (√2)
Digit 1,745 = 6
ln 2 — Natural log of 2
Digit 1,745 = 5
γ — Euler-Mascheroni (γ)
Digit 1,745 = 0

Also seen as

Unicode codepoint
ۑ
Arabic Letter Yeh With Three Dots Below
U+06D1
Other letter (Lo)

UTF-8 encoding: DB 91 (2 bytes).

Hex color
#0006D1
RGB(0, 6, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.209.

Address
0.0.6.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.209

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

Position in π

The digit sequence 1745 first appears in π at position 155 of the decimal expansion (the 155ordinal-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.