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Number

742

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

Arithmetic Number Decagonal Deficient Number Descending Digits Evil Number Keith Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 742 AD

Calendar year

Year 742 (DCCXLII) was a common year starting on Monday of the Julian calendar, the 742nd year of the Common Era (CE) and Anno Domini (AD) designations, the 742nd year of the 1st millennium, the 42nd year of the 8th century, and the 3rd year of the 740s decade.

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Historical context — 742 BC

Decade

This article concerns the period 749 BC – 740 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 742
Ended on
Thursday
December 31, 742
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
740s
740–749
Century
8th century
701–800
Millennium
1st millennium
1–1000
Years ago
1,284
1284 years before 2026.

In other calendars

Hebrew
4502 / 4503 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
124 / 125 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Horse
Sexagenary cycle position 19 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1285 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
120 / 121 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
734 / 735 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
664 / 663 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
13
Digit product
56
Digital root
4
Palindrome
No
Bit width
10 bits
Reversed
247
Recamán's sequence
a(947) = 742
Square (n²)
550,564
Cube (n³)
408,518,488
Divisor count
8
σ(n) — sum of divisors
1,296
φ(n) — Euler's totient
312
Sum of prime factors
62

Primality

Prime factorization: 2 × 7 × 53

Nearest primes: 739 (−3) · 743 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 53 · 106 · 371 (half) · 742
Aliquot sum (sum of proper divisors): 554
Factor pairs (a × b = 742)
1 × 742
2 × 371
7 × 106
14 × 53
First multiples
742 · 1,484 (double) · 2,226 · 2,968 · 3,710 · 4,452 · 5,194 · 5,936 · 6,678 · 7,420

Sums & aliquot sequence

As consecutive integers: 184 + 185 + 186 + 187 103 + 104 + … + 109 13 + 14 + … + 40
Aliquot sequence: 742 554 280 440 640 890 730 602 454 230 202 104 106 56 64 63 41 — unresolved within range

Representations

In words
seven hundred forty-two
Ordinal
742nd
Roman numeral
DCCXLII
Binary
1011100110
Octal
1346
Hexadecimal
0x2E6
Base64
AuY=
One's complement
64,793 (16-bit)
In other bases
ternary (3) 1000111
quaternary (4) 23212
quinary (5) 10432
senary (6) 3234
septenary (7) 2110
nonary (9) 1014
undecimal (11) 615
duodecimal (12) 51a
tridecimal (13) 451
tetradecimal (14) 3b0
pentadecimal (15) 347

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
ψμβʹ
Mayan (base 20)
𝋡·𝋱·𝋢
Chinese
七百四十二
Chinese (financial)
柒佰肆拾貳
In other modern scripts
Eastern Arabic ٧٤٢ Devanagari ७४२ Bengali ৭৪২ Tamil ௭௪௨ Thai ๗๔๒ Tibetan ༧༤༢ Khmer ៧៤២ Lao ໗໔໒ Burmese ၇၄၂

Digit at this position in famous constants

π — Pi (π)
Digit 742 = 4
e — Euler's number (e)
Digit 742 = 6
φ — Golden ratio (φ)
Digit 742 = 7
√2 — Pythagoras's (√2)
Digit 742 = 1
ln 2 — Natural log of 2
Digit 742 = 1
γ — Euler-Mascheroni (γ)
Digit 742 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 742, here are decompositions:

  • 3 + 739 = 742
  • 23 + 719 = 742
  • 41 + 701 = 742
  • 59 + 683 = 742
  • 83 + 659 = 742
  • 89 + 653 = 742
  • 101 + 641 = 742
  • 149 + 593 = 742

Showing the first eight; more decompositions exist.

Unicode codepoint
˦
Modifier Letter High Tone Bar
U+02E6
Modifier symbol (Sk)

UTF-8 encoding: CB A6 (2 bytes).

Hex color
#0002E6
RGB(0, 2, 230)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.230.

Address
0.0.2.230
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.230

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

NANP area code 742

The number 742 is an active NANP area code (North American Numbering Plan).

Primary area
Greater Toronto
Region
Ontario
Country
Canada

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.