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2,166

2,166 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.).
Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
72
Digital root
6
Palindrome
No
Bit width
12 bits
Reversed
6,612
Recamán's sequence
a(3,419) = 2,166
Square (n²)
4,691,556
Cube (n³)
10,161,910,296
Divisor count
12
σ(n) — sum of divisors
4,572
φ(n) — Euler's totient
684
Sum of prime factors
43

Primality

Prime factorization: 2 × 3 × 19 2

Nearest primes: 2,161 (−5) · 2,179 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 19 · 38 · 57 · 114 · 361 · 722 · 1083 (half) · 2166
Aliquot sum (sum of proper divisors): 2,406
Factor pairs (a × b = 2,166)
1 × 2166
2 × 1083
3 × 722
6 × 361
19 × 114
38 × 57
First multiples
2,166 · 4,332 (double) · 6,498 · 8,664 · 10,830 · 12,996 · 15,162 · 17,328 · 19,494 · 21,660

Sums & aliquot sequence

As consecutive integers: 721 + 722 + 723 540 + 541 + 542 + 543 175 + 176 + … + 186 105 + 106 + … + 123
Aliquot sequence: 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 48,666 48,678 — unresolved within range

Representations

In words
two thousand one hundred sixty-six
Ordinal
2166th
Roman numeral
MMCLXVI
Binary
100001110110
Octal
4166
Hexadecimal
0x876
Base64
CHY=
One's complement
63,369 (16-bit)
In other bases
ternary (3) 2222020
quaternary (4) 201312
quinary (5) 32131
senary (6) 14010
septenary (7) 6213
nonary (9) 2866
undecimal (11) 169a
duodecimal (12) 1306
tridecimal (13) ca8
tetradecimal (14) b0a
pentadecimal (15) 996

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βρξϛʹ
Mayan (base 20)
𝋥·𝋨·𝋦
Chinese
二千一百六十六
Chinese (financial)
貳仟壹佰陸拾陸
In other modern scripts
Eastern Arabic ٢١٦٦ Devanagari २१६६ Bengali ২১৬৬ Tamil ௨௧௬௬ Thai ๒๑๖๖ Tibetan ༢༡༦༦ Khmer ២១៦៦ Lao ໒໑໖໖ Burmese ၂၁၆၆

Digit at this position in famous constants

π — Pi (π)
Digit 2,166 = 9
e — Euler's number (e)
Digit 2,166 = 5
φ — Golden ratio (φ)
Digit 2,166 = 2
√2 — Pythagoras's (√2)
Digit 2,166 = 5
ln 2 — Natural log of 2
Digit 2,166 = 6
γ — Euler-Mascheroni (γ)
Digit 2,166 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2166, here are decompositions:

  • 5 + 2161 = 2166
  • 13 + 2153 = 2166
  • 23 + 2143 = 2166
  • 29 + 2137 = 2166
  • 37 + 2129 = 2166
  • 53 + 2113 = 2166
  • 67 + 2099 = 2166
  • 79 + 2087 = 2166

Showing the first eight; more decompositions exist.

Unicode codepoint
Arabic Letter Alef With Attached Round Dot Above
U+0876
Other letter (Lo)

UTF-8 encoding: E0 A1 B6 (3 bytes).

Hex color
#000876
RGB(0, 8, 118)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.118.

Address
0.0.8.118
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.118

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

Position in π

The digit sequence 2166 first appears in π at position 9,024 of the decimal expansion (the 9,024ordinal-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.