Number

1,662

1,662 is a composite number, even, a calendar year.

1,662 (one thousand six hundred sixty-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 277. Its proper divisors sum to 1,674, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCLXII and in binary, 11001111110.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,650 1,651 1,652 1,653 1,654 1,655 1,656 1,657 1,658 1,659 1,660 1,661 1,662 1,663 1,664 1,665 1,666 1,667 1,668 1,669 1,670 1,671 1,672 1,673 1,674

less more

Notable events — 1662 AD

Jul 15 The Royal Society of London is formally chartered by Charles II.
May 19 England's Act of Uniformity drives some 2,000 ministers from their pulpits.
Apr 23 The Connecticut Charter is granted.

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: Sunday
January 1, 1662
Ended on: Sunday
December 31, 1662
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: April 9
Sunday, April 9, 1662
Decade: 1660s
1660–1669
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 364
364 years before 2026.

In other calendars

Hebrew: 5422 / 5423 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1072 / 1073 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: 2205 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1040 / 1041 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1654 / 1655 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1584 / 1583 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 72
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 2,661
Recamán's sequence: a(792) = 1,662
Square (n²): 2,762,244
Cube (n³): 4,590,849,528
Divisor count: 8
σ(n) — sum of divisors: 3,336
φ(n) — Euler's totient: 552
Sum of prime factors: 282

Primality

Prime factorization: 2 × 3 × 277

Nearest primes: 1,657 (−5) · 1,663 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 277 · 554 · 831 (half) · 1662

Aliquot sum (sum of proper divisors): 1,674

Factor pairs (a × b = 1,662)

1 × 1662

2 × 831

3 × 554

6 × 277

First multiples

1,662 · 3,324 (double) · 4,986 · 6,648 · 8,310 · 9,972 · 11,634 · 13,296 · 14,958 · 16,620

Sums & aliquot sequence

As consecutive integers: 553 + 554 + 555 414 + 415 + 416 + 417 133 + 134 + … + 144

Aliquot sequence: 1,662 → 1,674 → 2,166 → 2,406 → 2,418 → 2,958 → 3,522 → 3,534 → 4,146 → 4,158 → 7,362 → 8,628 → 11,532 → 16,272 → 29,670 → 46,362 → 46,374 — unresolved within range

Continued fraction of √n

√1,662 = [40; (1, 3, 3, 3, 2, 1, 1, 26, 1, 1, 2, 3, 3, 3, 1, 80)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one thousand six hundred sixty-two
Ordinal: 1662nd
Roman numeral: MDCLXII
Binary: 11001111110
Octal: 3176
Hexadecimal: 0x67E
Base64: Bn4=
One's complement: 63,873 (16-bit)
Scientific notation: 1.662 × 10³
As a duration: 1,662 s = 27 minutes, 42 seconds

In other bases

ternary (3) 2021120

quaternary (4) 121332

quinary (5) 23122

senary (6) 11410

septenary (7) 4563

nonary (9) 2246

undecimal (11) 1281

duodecimal (12) b66

tridecimal (13) 9ab

tetradecimal (14) 86a

pentadecimal (15) 75c

As an angle

1,662° = 4 × 360° + 222°

222° ≈ 3.875 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵αχξβʹ
Mayan (base 20): 𝋤·𝋣·𝋢
Chinese: 一千六百六十二
Chinese (financial): 壹仟陸佰陸拾貳

In other modern scripts

Eastern Arabic ١٦٦٢ Devanagari १६६२ Bengali ১৬৬২ Tamil ௧௬௬௨ Thai ๑๖๖๒ Tibetan ༡༦༦༢ Khmer ១៦៦២ Lao ໑໖໖໒ Burmese ၁၆၆၂

Digit at this position in famous constants

π — Pi (π): Digit 1,662 = 5
e — Euler's number (e): Digit 1,662 = 3
φ — Golden ratio (φ): Digit 1,662 = 1
√2 — Pythagoras's (√2): Digit 1,662 = 3
ln 2 — Natural log of 2: Digit 1,662 = 3
γ — Euler-Mascheroni (γ): Digit 1,662 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1662, here are decompositions:

5 + 1657 = 1662
41 + 1621 = 1662
43 + 1619 = 1662
53 + 1609 = 1662
61 + 1601 = 1662
79 + 1583 = 1662
83 + 1579 = 1662
103 + 1559 = 1662

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Peh

U+067E

Other letter (Lo)

UTF-8 encoding: D9 BE (2 bytes).

Lookup U+067E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00067E

RGB(0, 6, 126)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.126.

Address: 0.0.6.126
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.126

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

Musical pitch

Heard as a frequency, 1,662 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, +1¢)
Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, +2¢)

Position in π

The digit sequence 1662 first appears in π at position 22,067 of the decimal expansion (the 22,067ordinal-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 1662 on Pi Search ↗