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2,116

2,116 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.).
Deficient Number Odious Number Perfect Square Pernicious Number Powerful Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
10
Digit product
12
Digital root
1
Palindrome
No
Bit width
12 bits
Reversed
6,112
Recamán's sequence
a(3,519) = 2,116
Square (n²)
4,477,456
Cube (n³)
9,474,296,896
Square root (√n)
46
Divisor count
9
σ(n) — sum of divisors
3,871
φ(n) — Euler's totient
1,012
Sum of prime factors
50

Primality

Prime factorization: 2 2 × 23 2

Nearest primes: 2,113 (−3) · 2,129 (+13)

Divisors & multiples

All divisors (9)
1 · 2 · 4 · 23 · 46 · 92 · 529 · 1058 (half) · 2116
Aliquot sum (sum of proper divisors): 1,755
Factor pairs (a × b = 2,116)
1 × 2116
2 × 1058
4 × 529
23 × 92
46 × 46
First multiples
2,116 · 4,232 (double) · 6,348 · 8,464 · 10,580 · 12,696 · 14,812 · 16,928 · 19,044 · 21,160

Sums & aliquot sequence

As a sum of two squares: 0² + 46²
As consecutive integers: 261 + 262 + … + 268 81 + 82 + … + 103
Aliquot sequence: 2,116 1,755 1,605 987 549 257 1 0 — terminates at zero

Representations

In words
two thousand one hundred sixteen
Ordinal
2116th
Roman numeral
MMCXVI
Binary
100001000100
Octal
4104
Hexadecimal
0x844
Base64
CEQ=
One's complement
63,419 (16-bit)
In other bases
ternary (3) 2220101
quaternary (4) 201010
quinary (5) 31431
senary (6) 13444
septenary (7) 6112
nonary (9) 2811
undecimal (11) 1654
duodecimal (12) 1284
tridecimal (13) c6a
tetradecimal (14) ab2
pentadecimal (15) 961

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βριϛʹ
Mayan (base 20)
𝋥·𝋥·𝋰
Chinese
二千一百一十六
Chinese (financial)
貳仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ٢١١٦ Devanagari २११६ Bengali ২১১৬ Tamil ௨௧௧௬ Thai ๒๑๑๖ Tibetan ༢༡༡༦ Khmer ២១១៦ Lao ໒໑໑໖ Burmese ၂၁၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 2,116 = 9
e — Euler's number (e)
Digit 2,116 = 8
φ — Golden ratio (φ)
Digit 2,116 = 2
√2 — Pythagoras's (√2)
Digit 2,116 = 7
ln 2 — Natural log of 2
Digit 2,116 = 3
γ — Euler-Mascheroni (γ)
Digit 2,116 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2116, here are decompositions:

  • 3 + 2113 = 2116
  • 5 + 2111 = 2116
  • 17 + 2099 = 2116
  • 29 + 2087 = 2116
  • 47 + 2069 = 2116
  • 53 + 2063 = 2116
  • 89 + 2027 = 2116
  • 113 + 2003 = 2116

Showing the first eight; more decompositions exist.

Unicode codepoint
Mandaic Letter Ah
U+0844
Other letter (Lo)

UTF-8 encoding: E0 A1 84 (3 bytes).

Hex color
#000844
RGB(0, 8, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.68.

Address
0.0.8.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.68

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

Position in π

The digit sequence 2116 first appears in π at position 1,502 of the decimal expansion (the 1,502ordinal-suffix:nd 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.