Number

1,362

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

1,362 (one thousand three hundred sixty-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 227. Its proper divisors sum to 1,374, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCLXII and in binary, 10101010010.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,350 1,351 1,352 1,353 1,354 1,355 1,356 1,357 1,358 1,359 1,360 1,361 1,362 1,363 1,364 1,365 1,366 1,367 1,368 1,369 1,370 1,371 1,372 1,373 1,374

less more

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 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

Continued fraction of √n

√1,362 = [36; (1, 9, 1, 1, 3, 1, 4, 2, 36, 2, 4, 1, 3, 1, 1, 9, 1, 72)]

Period length 18 — the block in parentheses repeats forever.

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)
Scientific notation: 1.362 × 10³
As a duration: 1,362 s = 22 minutes, 42 seconds

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

As an angle

1,362° = 3 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

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

Armenian Capital Letter Yiwn

U+0552

Uppercase letter (Lu)

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

Lookup U+0552 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,362 Hz is closest to:

Concert pitch (A4 = 440 Hz): F6 (1396.9 Hz, -44¢)
Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, -6¢)
Baroque pitch (A4 = 415 Hz): F♯6 (1395.9 Hz, -43¢)

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.

Look up 1362 on Pi Search ↗