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Number

1,742

1,742 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Notable events — 1742 AD

  1. Apr 13 Handel's Messiah premieres in Dublin.
  2. Feb 11 Robert Walpole resigns after 21 years as Britain's effective first prime minister.
  3. Jul 28 The Treaty of Berlin ends the first Silesian War.

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
Monday
January 1, 1742
Ended on
Monday
December 31, 1742
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
March 25
Sunday, March 25, 1742
Decade
1740s
1740–1749
Century
18th century
1701–1800
Millennium
2nd millennium
1001–2000
Years ago
284
284 years before 2026.

In other calendars

Hebrew
5502 / 5503 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1154 / 1155 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Dog
Sexagenary cycle position 59 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2285 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1120 / 1121 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1734 / 1735 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1664 / 1663 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
56
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
2,471
Recamán's sequence
a(1,224) = 1,742
Square (n²)
3,034,564
Cube (n³)
5,286,210,488
Divisor count
8
σ(n) — sum of divisors
2,856
φ(n) — Euler's totient
792
Sum of prime factors
82

Primality

Prime factorization: 2 × 13 × 67

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

Divisors & multiples

All divisors (8)
1 · 2 · 13 · 26 · 67 · 134 · 871 (half) · 1742
Aliquot sum (sum of proper divisors): 1,114
Factor pairs (a × b = 1,742)
1 × 1742
2 × 871
13 × 134
26 × 67
First multiples
1,742 · 3,484 (double) · 5,226 · 6,968 · 8,710 · 10,452 · 12,194 · 13,936 · 15,678 · 17,420

Sums & aliquot sequence

As consecutive integers: 434 + 435 + 436 + 437 128 + 129 + … + 140 8 + 9 + … + 59
Aliquot sequence: 1,742 1,114 560 928 962 634 320 442 314 160 218 112 136 134 70 74 40 — unresolved within range

Representations

In words
one thousand seven hundred forty-two
Ordinal
1742nd
Roman numeral
MDCCXLII
Binary
11011001110
Octal
3316
Hexadecimal
0x6CE
Base64
Bs4=
One's complement
63,793 (16-bit)
In other bases
ternary (3) 2101112
quaternary (4) 123032
quinary (5) 23432
senary (6) 12022
septenary (7) 5036
nonary (9) 2345
undecimal (11) 1344
duodecimal (12) 1012
tridecimal (13) a40
tetradecimal (14) 8c6
pentadecimal (15) 7b2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αψμβʹ
Mayan (base 20)
𝋤·𝋧·𝋢
Chinese
一千七百四十二
Chinese (financial)
壹仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٧٤٢ Devanagari १७४२ Bengali ১৭৪২ Tamil ௧௭௪௨ Thai ๑๗๔๒ Tibetan ༡༧༤༢ Khmer ១៧៤២ Lao ໑໗໔໒ Burmese ၁၇၄၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,742 = 2
e — Euler's number (e)
Digit 1,742 = 7
φ — Golden ratio (φ)
Digit 1,742 = 6
√2 — Pythagoras's (√2)
Digit 1,742 = 7
ln 2 — Natural log of 2
Digit 1,742 = 2
γ — Euler-Mascheroni (γ)
Digit 1,742 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1742, here are decompositions:

  • 19 + 1723 = 1742
  • 43 + 1699 = 1742
  • 73 + 1669 = 1742
  • 79 + 1663 = 1742
  • 163 + 1579 = 1742
  • 193 + 1549 = 1742
  • 199 + 1543 = 1742
  • 211 + 1531 = 1742

Showing the first eight; more decompositions exist.

Unicode codepoint
ێ
Arabic Letter Yeh With Small V
U+06CE
Other letter (Lo)

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

Hex color
#0006CE
RGB(0, 6, 206)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.206.

Address
0.0.6.206
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.206

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

Position in π

The digit sequence 1742 first appears in π at position 20,466 of the decimal expansion (the 20,466ordinal-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.