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8,224

8,224 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 Evil Number Harshad / Niven Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
128
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
4,228
Recamán's sequence
a(10,319) = 8,224
Square (n²)
67,634,176
Cube (n³)
556,223,463,424
Divisor count
12
σ(n) — sum of divisors
16,254
φ(n) — Euler's totient
4,096
Sum of prime factors
267

Primality

Prime factorization: 2 5 × 257

Nearest primes: 8,221 (−3) · 8,231 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 257 · 514 · 1028 · 2056 · 4112 (half) · 8224
Aliquot sum (sum of proper divisors): 8,030
Factor pairs (a × b = 8,224)
1 × 8224
2 × 4112
4 × 2056
8 × 1028
16 × 514
32 × 257
First multiples
8,224 · 16,448 (double) · 24,672 · 32,896 · 41,120 · 49,344 · 57,568 · 65,792 · 74,016 · 82,240

Sums & aliquot sequence

As a sum of two squares: 60² + 68²
As consecutive integers: 97 + 98 + … + 160
Aliquot sequence: 8,224 8,030 7,954 4,394 2,746 1,376 1,396 1,054 674 340 416 466 236 184 176 196 203 — unresolved within range

Representations

In words
eight thousand two hundred twenty-four
Ordinal
8224th
Binary
10000000100000
Octal
20040
Hexadecimal
0x2020
Base64
ICA=
One's complement
57,311 (16-bit)
In other bases
ternary (3) 102021121
quaternary (4) 2000200
quinary (5) 230344
senary (6) 102024
septenary (7) 32656
nonary (9) 12247
undecimal (11) 61a7
duodecimal (12) 4914
tridecimal (13) 3988
tetradecimal (14) 2dd6
pentadecimal (15) 2684

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ησκδʹ
Mayan (base 20)
𝋡·𝋠·𝋫·𝋤
Chinese
八千二百二十四
Chinese (financial)
捌仟貳佰貳拾肆
In other modern scripts
Eastern Arabic ٨٢٢٤ Devanagari ८२२४ Bengali ৮২২৪ Tamil ௮௨௨௪ Thai ๘๒๒๔ Tibetan ༨༢༢༤ Khmer ៨២២៤ Lao ໘໒໒໔ Burmese ၈၂၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 8,224 = 1
e — Euler's number (e)
Digit 8,224 = 4
φ — Golden ratio (φ)
Digit 8,224 = 6
√2 — Pythagoras's (√2)
Digit 8,224 = 8
ln 2 — Natural log of 2
Digit 8,224 = 0
γ — Euler-Mascheroni (γ)
Digit 8,224 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8224, here are decompositions:

  • 3 + 8221 = 8224
  • 5 + 8219 = 8224
  • 53 + 8171 = 8224
  • 101 + 8123 = 8224
  • 107 + 8117 = 8224
  • 113 + 8111 = 8224
  • 131 + 8093 = 8224
  • 137 + 8087 = 8224

Showing the first eight; more decompositions exist.

Unicode codepoint
Dagger
U+2020
Other punctuation (Po)

UTF-8 encoding: E2 80 A0 (3 bytes).

Hex color
#002020
RGB(0, 32, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.32.

Address
0.0.32.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.32.32

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

Position in π

The digit sequence 8224 first appears in π at position 22,957 of the decimal expansion (the 22,957ordinal-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.