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Number

1,362

1,362 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Historical context — 1362 AD

Calendar year

Year 1362 (MCCCLXII) was a common year starting on Saturday of the Julian calendar.

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
52
Started on
Friday
January 1, 1362
Ended on
Friday
December 31, 1362
Friday the 13ths
1
One Friday the 13th this year.
Decade
1360s
1360–1369
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
664
664 years before 2026.

In other calendars

Hebrew
5122 / 5123 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
763 / 764 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1905 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
740 / 741 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1354 / 1355 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1284 / 1283 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
36
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
2,631
Recamán's sequence
a(452) = 1,362
Square (n²)
1,855,044
Cube (n³)
2,526,569,928
Divisor count
8
σ(n) — sum of divisors
2,736
φ(n) — Euler's totient
452
Sum of prime factors
232

Primality

Prime factorization: 2 × 3 × 227

Nearest primes: 1,361 (−1) · 1,367 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 227 · 454 · 681 (half) · 1362
Aliquot sum (sum of proper divisors): 1,374
Factor pairs (a × b = 1,362)
1 × 1362
2 × 681
3 × 454
6 × 227
First multiples
1,362 · 2,724 (double) · 4,086 · 5,448 · 6,810 · 8,172 · 9,534 · 10,896 · 12,258 · 13,620

Sums & aliquot sequence

As consecutive integers: 453 + 454 + 455 339 + 340 + 341 + 342 108 + 109 + … + 119
Aliquot sequence: 1,362 1,374 1,386 2,358 2,790 4,698 6,192 11,540 12,736 12,664 11,096 11,104 10,820 11,944 10,466 5,236 6,860 — unresolved within range

Representations

In words
one thousand three hundred sixty-two
Ordinal
1362nd
Roman numeral
MCCCLXII
Binary
10101010010
Octal
2522
Hexadecimal
0x552
Base64
BVI=
One's complement
64,173 (16-bit)
In other bases
ternary (3) 1212110
quaternary (4) 111102
quinary (5) 20422
senary (6) 10150
septenary (7) 3654
nonary (9) 1773
undecimal (11) 1029
duodecimal (12) 956
tridecimal (13) 80a
tetradecimal (14) 6d4
pentadecimal (15) 60c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ατξβʹ
Mayan (base 20)
𝋣·𝋨·𝋢
Chinese
一千三百六十二
Chinese (financial)
壹仟參佰陸拾貳
In other modern scripts
Eastern Arabic ١٣٦٢ Devanagari १३६२ Bengali ১৩৬২ Tamil ௧௩௬௨ Thai ๑๓๖๒ Tibetan ༡༣༦༢ Khmer ១៣៦២ Lao ໑໓໖໒ Burmese ၁၃၆၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,362 = 3
e — Euler's number (e)
Digit 1,362 = 3
φ — Golden ratio (φ)
Digit 1,362 = 2
√2 — Pythagoras's (√2)
Digit 1,362 = 5
ln 2 — Natural log of 2
Digit 1,362 = 1
γ — Euler-Mascheroni (γ)
Digit 1,362 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1362, here are decompositions:

  • 41 + 1321 = 1362
  • 43 + 1319 = 1362
  • 59 + 1303 = 1362
  • 61 + 1301 = 1362
  • 71 + 1291 = 1362
  • 73 + 1289 = 1362
  • 79 + 1283 = 1362
  • 83 + 1279 = 1362

Showing the first eight; more decompositions exist.

Unicode codepoint
Ւ
Armenian Capital Letter Yiwn
U+0552
Uppercase letter (Lu)

UTF-8 encoding: D5 92 (2 bytes).

Hex color
#000552
RGB(0, 5, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.82.

Address
0.0.5.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.82

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

Position in π

The digit sequence 1362 first appears in π at position 734 of the decimal expansion (the 734ordinal-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.