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2,662

2,662 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.).

2,662 (two thousand six hundred sixty-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 11³. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is MMDCLXII and in binary, 101001100110.

Arithmetic Number Deficient Number Evil Number Gapful Number Palindrome Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
144
Digital root
7
Palindrome
Yes
Bit width
12 bits
Recamán's sequence
a(7,308) = 2,662
Square (n²)
7,086,244
Cube (n³)
18,863,581,528
Divisor count
8
σ(n) — sum of divisors
4,392
φ(n) — Euler's totient
1,210
Sum of prime factors
35

Primality

Prime factorization: 2 × 11 3

Nearest primes: 2,659 (−3) · 2,663 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 11 · 22 · 121 · 242 · 1331 (half) · 2662
Aliquot sum (sum of proper divisors): 1,730
Factor pairs (a × b = 2,662)
1 × 2662
2 × 1331
11 × 242
22 × 121
First multiples
2,662 · 5,324 (double) · 7,986 · 10,648 · 13,310 · 15,972 · 18,634 · 21,296 · 23,958 · 26,620

Sums & aliquot sequence

As a sum of two cubes: 11³ + 11³
As consecutive integers: 664 + 665 + 666 + 667 237 + 238 + … + 247 39 + 40 + … + 82
Aliquot sequence: 2,662 1,730 1,402 704 820 944 916 694 350 394 200 265 59 1 0 — terminates at zero

Continued fraction of √n

√2,662 = [51; (1, 1, 2, 6, 1, 33, 1, 1, 7, 2, 3, 11, 5, 1, 1, 1, 4, 3, 1, 3, 16, 1, 13, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
two thousand six hundred sixty-two
Ordinal
2662nd
Roman numeral
MMDCLXII
Binary
101001100110
Octal
5146
Hexadecimal
0xA66
Base64
CmY=
One's complement
62,873 (16-bit)
Scientific notation
2.662 × 10³
As a duration
2,662 s = 44 minutes, 22 seconds
In other bases
ternary (3) 10122121
quaternary (4) 221212
quinary (5) 41122
senary (6) 20154
septenary (7) 10522
nonary (9) 3577
undecimal (11) 2000
duodecimal (12) 165a
tridecimal (13) 129a
tetradecimal (14) d82
pentadecimal (15) bc7

As an angle

2,662° = 7 × 360° + 142°
142° ≈ 2.478 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵βχξβʹ
Mayan (base 20)
𝋦·𝋭·𝋢
Chinese
二千六百六十二
Chinese (financial)
貳仟陸佰陸拾貳
In other modern scripts
Eastern Arabic ٢٦٦٢ Devanagari २६६२ Bengali ২৬৬২ Tamil ௨௬௬௨ Thai ๒๖๖๒ Tibetan ༢༦༦༢ Khmer ២៦៦២ Lao ໒໖໖໒ Burmese ၂၆၆၂

Digit at this position in famous constants

π — Pi (π)
Digit 2,662 = 7
e — Euler's number (e)
Digit 2,662 = 5
φ — Golden ratio (φ)
Digit 2,662 = 3
√2 — Pythagoras's (√2)
Digit 2,662 = 3
ln 2 — Natural log of 2
Digit 2,662 = 1
γ — Euler-Mascheroni (γ)
Digit 2,662 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2662, here are decompositions:

  • 3 + 2659 = 2662
  • 5 + 2657 = 2662
  • 29 + 2633 = 2662
  • 41 + 2621 = 2662
  • 53 + 2609 = 2662
  • 71 + 2591 = 2662
  • 83 + 2579 = 2662
  • 113 + 2549 = 2662

Showing the first eight; more decompositions exist.

Unicode codepoint
Gurmukhi Digit Zero
U+0A66
Decimal digit (Nd)

UTF-8 encoding: E0 A9 A6 (3 bytes).

Hex color
#000A66
RGB(0, 10, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.102.

Address
0.0.10.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.10.102

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

Musical pitch

Heard as a frequency, 2,662 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E7 (2637 Hz, +16¢)
  • Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, -46¢ — about midway to E7)
  • Baroque pitch (A4 = 415 Hz): F7 (2635.1 Hz, +18¢)
Position in π

The digit sequence 2662 first appears in π at position 19,049 of the decimal expansion (the 19,049ordinal-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