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4,224

4,224 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.).
Abundant Number Evil Number Gapful Number Harshad / Niven Palindrome Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Zuckerman Number

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
64
Digital root
3
Palindrome
Yes
Bit width
13 bits
Recamán's sequence
a(1,272) = 4,224
Square (n²)
17,842,176
Cube (n³)
75,365,351,424
Divisor count
32
σ(n) — sum of divisors
12,240
φ(n) — Euler's totient
1,280
Sum of prime factors
28

Primality

Prime factorization: 2 7 × 3 × 11

Nearest primes: 4,219 (−5) · 4,229 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 32 · 33 · 44 · 48 · 64 · 66 · 88 · 96 · 128 · 132 · 176 · 192 · 264 · 352 · 384 · 528 · 704 · 1056 · 1408 · 2112 (half) · 4224
Aliquot sum (sum of proper divisors): 8,016
Factor pairs (a × b = 4,224)
1 × 4224
2 × 2112
3 × 1408
4 × 1056
6 × 704
8 × 528
11 × 384
12 × 352
16 × 264
22 × 192
24 × 176
32 × 132
33 × 128
44 × 96
48 × 88
64 × 66
First multiples
4,224 · 8,448 (double) · 12,672 · 16,896 · 21,120 · 25,344 · 29,568 · 33,792 · 38,016 · 42,240

Sums & aliquot sequence

As consecutive integers: 1,407 + 1,408 + 1,409 379 + 380 + … + 389 112 + 113 + … + 144
Aliquot sequence: 4,224 8,016 12,816 23,454 27,402 27,414 32,022 39,258 48,102 48,114 69,966 101,322 135,642 170,790 239,178 239,190 465,834 — unresolved within range

Representations

In words
four thousand two hundred twenty-four
Ordinal
4224th
Binary
1000010000000
Octal
10200
Hexadecimal
0x1080
Base64
EIA=
One's complement
61,311 (16-bit)
In other bases
ternary (3) 12210110
quaternary (4) 1002000
quinary (5) 113344
senary (6) 31320
septenary (7) 15213
nonary (9) 5713
undecimal (11) 31a0
duodecimal (12) 2540
tridecimal (13) 1bcc
tetradecimal (14) 177a
pentadecimal (15) 13b9

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δσκδʹ
Mayan (base 20)
𝋪·𝋫·𝋤
Chinese
四千二百二十四
Chinese (financial)
肆仟貳佰貳拾肆
In other modern scripts
Eastern Arabic ٤٢٢٤ Devanagari ४२२४ Bengali ৪২২৪ Tamil ௪௨௨௪ Thai ๔๒๒๔ Tibetan ༤༢༢༤ Khmer ៤២២៤ Lao ໔໒໒໔ Burmese ၄၂၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 4,224 = 4
e — Euler's number (e)
Digit 4,224 = 0
φ — Golden ratio (φ)
Digit 4,224 = 8
√2 — Pythagoras's (√2)
Digit 4,224 = 6
ln 2 — Natural log of 2
Digit 4,224 = 7
γ — Euler-Mascheroni (γ)
Digit 4,224 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4224, here are decompositions:

  • 5 + 4219 = 4224
  • 7 + 4217 = 4224
  • 13 + 4211 = 4224
  • 23 + 4201 = 4224
  • 47 + 4177 = 4224
  • 67 + 4157 = 4224
  • 71 + 4153 = 4224
  • 97 + 4127 = 4224

Showing the first eight; more decompositions exist.

Unicode codepoint
Myanmar Letter Shan Tha
U+1080
Other letter (Lo)

UTF-8 encoding: E1 82 80 (3 bytes).

Hex color
#001080
RGB(0, 16, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.128.

Address
0.0.16.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.128

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

Position in π

The digit sequence 4224 first appears in π at position 22,672 of the decimal expansion (the 22,672ordinal-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.