number.wiki
Live analysis

2,164

2,164 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 Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
13
Digit product
48
Digital root
4
Palindrome
No
Bit width
12 bits
Reversed
4,612
Recamán's sequence
a(3,423) = 2,164
Square (n²)
4,682,896
Cube (n³)
10,133,786,944
Divisor count
6
σ(n) — sum of divisors
3,794
φ(n) — Euler's totient
1,080
Sum of prime factors
545

Primality

Prime factorization: 2 2 × 541

Nearest primes: 2,161 (−3) · 2,179 (+15)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 541 · 1082 (half) · 2164
Aliquot sum (sum of proper divisors): 1,630
Factor pairs (a × b = 2,164)
1 × 2164
2 × 1082
4 × 541
First multiples
2,164 · 4,328 (double) · 6,492 · 8,656 · 10,820 · 12,984 · 15,148 · 17,312 · 19,476 · 21,640

Sums & aliquot sequence

As a sum of two squares: 20² + 42²
As consecutive integers: 267 + 268 + … + 274
Aliquot sequence: 2,164 1,630 1,322 664 596 454 230 202 104 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
two thousand one hundred sixty-four
Ordinal
2164th
Roman numeral
MMCLXIV
Binary
100001110100
Octal
4164
Hexadecimal
0x874
Base64
CHQ=
One's complement
63,371 (16-bit)
In other bases
ternary (3) 2222011
quaternary (4) 201310
quinary (5) 32124
senary (6) 14004
septenary (7) 6211
nonary (9) 2864
undecimal (11) 1698
duodecimal (12) 1304
tridecimal (13) ca6
tetradecimal (14) b08
pentadecimal (15) 994

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βρξδʹ
Mayan (base 20)
𝋥·𝋨·𝋤
Chinese
二千一百六十四
Chinese (financial)
貳仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ٢١٦٤ Devanagari २१६४ Bengali ২১৬৪ Tamil ௨௧௬௪ Thai ๒๑๖๔ Tibetan ༢༡༦༤ Khmer ២១៦៤ Lao ໒໑໖໔ Burmese ၂၁၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 2,164 = 0
e — Euler's number (e)
Digit 2,164 = 7
φ — Golden ratio (φ)
Digit 2,164 = 2
√2 — Pythagoras's (√2)
Digit 2,164 = 6
ln 2 — Natural log of 2
Digit 2,164 = 5
γ — Euler-Mascheroni (γ)
Digit 2,164 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2164, here are decompositions:

  • 3 + 2161 = 2164
  • 11 + 2153 = 2164
  • 23 + 2141 = 2164
  • 53 + 2111 = 2164
  • 83 + 2081 = 2164
  • 101 + 2063 = 2164
  • 137 + 2027 = 2164
  • 167 + 1997 = 2164

Showing the first eight; more decompositions exist.

Unicode codepoint
Arabic Letter Alef With Attached Kasra
U+0874
Other letter (Lo)

UTF-8 encoding: E0 A1 B4 (3 bytes).

Hex color
#000874
RGB(0, 8, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.116.

Address
0.0.8.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.116

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

Position in π

The digit sequence 2164 first appears in π at position 991 of the decimal expansion (the 991ordinal-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.