Number

1,746

1,746 is a composite number, even, a calendar year.

1,746 (one thousand seven hundred forty-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 97. Its proper divisors sum to 2,076, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCCXLVI and in binary, 11011010010.

Abundant Number Cube-Free Evil Number Harshad / Niven Moran Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 1,757 1,758

less more

Notable events — 1746 AD

Apr 16 Government forces crush the Jacobites at Culloden.
Sep 30 Prince Charles Edward Stuart escapes to France.
Oct 28 Lima is devastated by an earthquake.

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: Saturday
January 1, 1746
Ended on: Saturday
December 31, 1746
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 10
Sunday, April 10, 1746
Decade: 1740s
1740–1749
Century: 18th century
1701–1800
Millennium: 2nd millennium
1001–2000
Years ago: 280
280 years before 2026.

In other calendars

Hebrew: 5506 / 5507 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1158 / 1159 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2289 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1124 / 1125 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1738 / 1739 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1668 / 1667 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 168
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 6,471
Recamán's sequence: a(16,207) = 1,746
Square (n²): 3,048,516
Cube (n³): 5,322,708,936
Divisor count: 12
σ(n) — sum of divisors: 3,822
φ(n) — Euler's totient: 576
Sum of prime factors: 105

Primality

Prime factorization: 2 × 3 ² × 97

Nearest primes: 1,741 (−5) · 1,747 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 97 · 194 · 291 · 582 · 873 (half) · 1746

Aliquot sum (sum of proper divisors): 2,076

Factor pairs (a × b = 1,746)

1 × 1746

2 × 873

3 × 582

6 × 291

9 × 194

18 × 97

First multiples

1,746 · 3,492 (double) · 5,238 · 6,984 · 8,730 · 10,476 · 12,222 · 13,968 · 15,714 · 17,460

Sums & aliquot sequence

As a sum of two squares: 15² + 39²

As consecutive integers: 581 + 582 + 583 435 + 436 + 437 + 438 190 + 191 + … + 198 140 + 141 + … + 151

Aliquot sequence: 1,746 → 2,076 → 2,796 → 3,756 → 5,036 → 3,784 → 4,136 → 4,504 → 3,956 → 3,436 → 2,584 → 2,816 → 3,316 → 2,494 → 1,466 → 736 → 776 — unresolved within range

Continued fraction of √n

√1,746 = [41; (1, 3, 1, 1, 1, 8, 1, 1, 1, 3, 1, 82)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one thousand seven hundred forty-six
Ordinal: 1746th
Roman numeral: MDCCXLVI
Binary: 11011010010
Octal: 3322
Hexadecimal: 0x6D2
Base64: BtI=
One's complement: 63,789 (16-bit)
Scientific notation: 1.746 × 10³
As a duration: 1,746 s = 29 minutes, 6 seconds

In other bases

ternary (3) 2101200

quaternary (4) 123102

quinary (5) 23441

senary (6) 12030

septenary (7) 5043

nonary (9) 2350

undecimal (11) 1348

duodecimal (12) 1016

tridecimal (13) a44

tetradecimal (14) 8ca

pentadecimal (15) 7b6

As an angle

1,746° = 4 × 360° + 306°

306° ≈ 5.341 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αψμϛʹ
Mayan (base 20): 𝋤·𝋧·𝋦
Chinese: 一千七百四十六
Chinese (financial): 壹仟柒佰肆拾陸

In other modern scripts

Eastern Arabic ١٧٤٦ Devanagari १७४६ Bengali ১৭৪৬ Tamil ௧௭௪௬ Thai ๑๗๔๖ Tibetan ༡༧༤༦ Khmer ១៧៤៦ Lao ໑໗໔໖ Burmese ၁၇၄၆

Digit at this position in famous constants

π — Pi (π): Digit 1,746 = 5
e — Euler's number (e): Digit 1,746 = 5
φ — Golden ratio (φ): Digit 1,746 = 4
√2 — Pythagoras's (√2): Digit 1,746 = 3
ln 2 — Natural log of 2: Digit 1,746 = 9
γ — Euler-Mascheroni (γ): Digit 1,746 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1746, here are decompositions:

5 + 1741 = 1746
13 + 1733 = 1746
23 + 1723 = 1746
37 + 1709 = 1746
47 + 1699 = 1746
53 + 1693 = 1746
79 + 1667 = 1746
83 + 1663 = 1746

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Yeh Barree

U+06D2

Other letter (Lo)

UTF-8 encoding: DB 92 (2 bytes).

Lookup U+06D2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0006D2

RGB(0, 6, 210)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.210.

Address: 0.0.6.210
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.210

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

Musical pitch

Heard as a frequency, 1,746 Hz is closest to:

Concert pitch (A4 = 440 Hz): A6 (1760 Hz, -14¢)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, +24¢)
Baroque pitch (A4 = 415 Hz): A♯6 (1758.7 Hz, -13¢)

Position in π

The digit sequence 1746 first appears in π at position 6,088 of the decimal expansion (the 6,088ordinal-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 1746 on Pi Search ↗