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3,662

3,662 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

3,662 (three thousand six hundred sixty-two) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 1,831. Written other ways, in Roman numerals it is MMMDCLXII and in binary, 111001001110.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
216
Digital root
8
Palindrome
No
Bit width
12 bits
Reversed
2,663
Recamán's sequence
a(29,152) = 3,662
Square (n²)
13,410,244
Cube (n³)
49,108,313,528
Divisor count
4
σ(n) — sum of divisors
5,496
φ(n) — Euler's totient
1,830
Sum of prime factors
1,833

Primality

Prime factorization: 2 × 1831

Nearest primes: 3,659 (−3) · 3,671 (+9)

Divisors & multiples

All divisors (4)
1 · 2 · 1831 (half) · 3662
Aliquot sum (sum of proper divisors): 1,834
Factor pairs (a × b = 3,662)
1 × 3662
2 × 1831
First multiples
3,662 · 7,324 (double) · 10,986 · 14,648 · 18,310 · 21,972 · 25,634 · 29,296 · 32,958 · 36,620

Sums & aliquot sequence

As consecutive integers: 914 + 915 + 916 + 917
Aliquot sequence: 3,662 1,834 1,334 826 614 310 266 214 110 106 56 64 63 41 1 0 — terminates at zero

Continued fraction of √n

√3,662 = [60; (1, 1, 16, 1, 3, 1, 2, 2, 8, 1, 7, 1, 3, 60, 3, 1, 7, 1, 8, 2, 2, 1, 3, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
three thousand six hundred sixty-two
Ordinal
3662nd
Roman numeral
MMMDCLXII
Binary
111001001110
Octal
7116
Hexadecimal
0xE4E
Base64
Dk4=
One's complement
61,873 (16-bit)
Scientific notation
3.662 × 10³
As a duration
3,662 s = 1 hour, 1 minute, 2 seconds
In other bases
ternary (3) 12000122
quaternary (4) 321032
quinary (5) 104122
senary (6) 24542
septenary (7) 13451
nonary (9) 5018
undecimal (11) 282a
duodecimal (12) 2152
tridecimal (13) 1889
tetradecimal (14) 1498
pentadecimal (15) 1142
Palindromic in base 6, base 16

As an angle

3,662° = 10 × 360° + 62°
62° ≈ 1.082 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵γχξβʹ
Mayan (base 20)
𝋩·𝋣·𝋢
Chinese
三千六百六十二
Chinese (financial)
參仟陸佰陸拾貳
In other modern scripts
Eastern Arabic ٣٦٦٢ Devanagari ३६६२ Bengali ৩৬৬২ Tamil ௩௬௬௨ Thai ๓๖๖๒ Tibetan ༣༦༦༢ Khmer ៣៦៦២ Lao ໓໖໖໒ Burmese ၃၆၆၂

Digit at this position in famous constants

π — Pi (π)
Digit 3,662 = 6
e — Euler's number (e)
Digit 3,662 = 6
φ — Golden ratio (φ)
Digit 3,662 = 2
√2 — Pythagoras's (√2)
Digit 3,662 = 1
ln 2 — Natural log of 2
Digit 3,662 = 8
γ — Euler-Mascheroni (γ)
Digit 3,662 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3662, here are decompositions:

  • 3 + 3659 = 3662
  • 19 + 3643 = 3662
  • 31 + 3631 = 3662
  • 79 + 3583 = 3662
  • 103 + 3559 = 3662
  • 151 + 3511 = 3662
  • 163 + 3499 = 3662
  • 193 + 3469 = 3662

Showing the first eight; more decompositions exist.

Unicode codepoint
Thai Character Yamakkan
U+0E4E
Non-spacing mark (Mn)

UTF-8 encoding: E0 B9 8E (3 bytes).

Hex color
#000E4E
RGB(0, 14, 78)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.78.

Address
0.0.14.78
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.14.78

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

Musical pitch

Heard as a frequency, 3,662 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -32¢)
  • Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +6¢)
  • Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -30¢)
Position in π

The digit sequence 3662 first appears in π at position 58,499 of the decimal expansion (the 58,499ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.