number.wiki
Live analysis

2,112

2,112 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 Evil Number Gapful Number Happy Number Harshad / Niven Palindrome Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number Zuckerman Number

Properties

Parity
Even
Digit count
4
Digit sum
6
Digit product
4
Digital root
6
Palindrome
Yes
Bit width
12 bits
Recamán's sequence
a(3,527) = 2,112
Square (n²)
4,460,544
Cube (n³)
9,420,668,928
Divisor count
28
σ(n) — sum of divisors
6,096
φ(n) — Euler's totient
640
Sum of prime factors
26

Primality

Prime factorization: 2 6 × 3 × 11

Nearest primes: 2,111 (−1) · 2,113 (+1)

Divisors & multiples

All divisors (28)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 32 · 33 · 44 · 48 · 64 · 66 · 88 · 96 · 132 · 176 · 192 · 264 · 352 · 528 · 704 · 1056 (half) · 2112
Aliquot sum (sum of proper divisors): 3,984
Factor pairs (a × b = 2,112)
1 × 2112
2 × 1056
3 × 704
4 × 528
6 × 352
8 × 264
11 × 192
12 × 176
16 × 132
22 × 96
24 × 88
32 × 66
33 × 64
44 × 48
First multiples
2,112 · 4,224 (double) · 6,336 · 8,448 · 10,560 · 12,672 · 14,784 · 16,896 · 19,008 · 21,120

Sums & aliquot sequence

As consecutive integers: 703 + 704 + 705 187 + 188 + … + 197 48 + 49 + … + 80
Aliquot sequence: 2,112 3,984 6,432 10,704 17,072 19,384 16,976 15,946 13,430 12,490 10,010 14,182 10,154 5,080 6,440 10,840 13,640 — unresolved within range

Representations

In words
two thousand one hundred twelve
Ordinal
2112th
Roman numeral
MMCXII
Binary
100001000000
Octal
4100
Hexadecimal
0x840
Base64
CEA=
One's complement
63,423 (16-bit)
In other bases
ternary (3) 2220020
quaternary (4) 201000
quinary (5) 31422
senary (6) 13440
septenary (7) 6105
nonary (9) 2806
undecimal (11) 1650
duodecimal (12) 1280
tridecimal (13) c66
tetradecimal (14) aac
pentadecimal (15) 95c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian)
͵βριβʹ
Mayan (base 20)
𝋥·𝋥·𝋬
Chinese
二千一百一十二
Chinese (financial)
貳仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ٢١١٢ Devanagari २११२ Bengali ২১১২ Tamil ௨௧௧௨ Thai ๒๑๑๒ Tibetan ༢༡༡༢ Khmer ២១១២ Lao ໒໑໑໒ Burmese ၂၁၁၂

Digit at this position in famous constants

π — Pi (π)
Digit 2,112 = 4
e — Euler's number (e)
Digit 2,112 = 8
φ — Golden ratio (φ)
Digit 2,112 = 1
√2 — Pythagoras's (√2)
Digit 2,112 = 7
ln 2 — Natural log of 2
Digit 2,112 = 1
γ — Euler-Mascheroni (γ)
Digit 2,112 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2112, here are decompositions:

  • 13 + 2099 = 2112
  • 23 + 2089 = 2112
  • 29 + 2083 = 2112
  • 31 + 2081 = 2112
  • 43 + 2069 = 2112
  • 59 + 2053 = 2112
  • 73 + 2039 = 2112
  • 83 + 2029 = 2112

Showing the first eight; more decompositions exist.

Unicode codepoint
Mandaic Letter Halqa
U+0840
Other letter (Lo)

UTF-8 encoding: E0 A1 80 (3 bytes).

Hex color
#000840
RGB(0, 8, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.64.

Address
0.0.8.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.64

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

Position in π

The digit sequence 2112 first appears in π at position 3,821 of the decimal expansion (the 3,821ordinal-suffix:st 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.