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8,244

8,244 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.).

8,244 (eight thousand two hundred forty-four) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 229. Its proper divisors sum to 12,686, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2034.

Abundant Number Cube-Free Evil Number Happy Number Harshad / Niven Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
256
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
4,428
Recamán's sequence
a(10,279) = 8,244
Square (n²)
67,963,536
Cube (n³)
560,291,390,784
Divisor count
18
σ(n) — sum of divisors
20,930
φ(n) — Euler's totient
2,736
Sum of prime factors
239

Primality

Prime factorization: 2 2 × 3 2 × 229

Nearest primes: 8,243 (−1) · 8,263 (+19)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 229 · 458 · 687 · 916 · 1374 · 2061 · 2748 · 4122 (half) · 8244
Aliquot sum (sum of proper divisors): 12,686
Factor pairs (a × b = 8,244)
1 × 8244
2 × 4122
3 × 2748
4 × 2061
6 × 1374
9 × 916
12 × 687
18 × 458
36 × 229
First multiples
8,244 · 16,488 (double) · 24,732 · 32,976 · 41,220 · 49,464 · 57,708 · 65,952 · 74,196 · 82,440

Sums & aliquot sequence

As a sum of two squares: 12² + 90²
As consecutive integers: 2,747 + 2,748 + 2,749 1,027 + 1,028 + … + 1,034 912 + 913 + … + 920 332 + 333 + … + 355
Aliquot sequence: 8,244 12,686 6,346 3,734 1,870 2,018 1,012 1,004 760 1,040 1,564 1,460 1,648 1,576 1,394 874 566 — unresolved within range

Continued fraction of √n

√8,244 = [90; (1, 3, 1, 10, 1, 1, 4, 1, 1, 10, 1, 3, 1, 180)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
eight thousand two hundred forty-four
Ordinal
8244th
Binary
10000000110100
Octal
20064
Hexadecimal
0x2034
Base64
IDQ=
One's complement
57,291 (16-bit)
Scientific notation
8.244 × 10³
As a duration
8,244 s = 2 hours, 17 minutes, 24 seconds
In other bases
ternary (3) 102022100
quaternary (4) 2000310
quinary (5) 230434
senary (6) 102100
septenary (7) 33015
nonary (9) 12270
undecimal (11) 6215
duodecimal (12) 4930
tridecimal (13) 39a2
tetradecimal (14) 300c
pentadecimal (15) 2699

As an angle

8,244° = 22 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ησμδʹ
Mayan (base 20)
𝋡·𝋠·𝋬·𝋤
Chinese
八千二百四十四
Chinese (financial)
捌仟貳佰肆拾肆
In other modern scripts
Eastern Arabic ٨٢٤٤ Devanagari ८२४४ Bengali ৮২৪৪ Tamil ௮௨௪௪ Thai ๘๒๔๔ Tibetan ༨༢༤༤ Khmer ៨២៤៤ Lao ໘໒໔໔ Burmese ၈၂၄၄

Digit at this position in famous constants

π — Pi (π)
Digit 8,244 = 9
e — Euler's number (e)
Digit 8,244 = 7
φ — Golden ratio (φ)
Digit 8,244 = 0
√2 — Pythagoras's (√2)
Digit 8,244 = 5
ln 2 — Natural log of 2
Digit 8,244 = 8
γ — Euler-Mascheroni (γ)
Digit 8,244 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8244, here are decompositions:

  • 7 + 8237 = 8244
  • 11 + 8233 = 8244
  • 13 + 8231 = 8244
  • 23 + 8221 = 8244
  • 53 + 8191 = 8244
  • 73 + 8171 = 8244
  • 83 + 8161 = 8244
  • 97 + 8147 = 8244

Showing the first eight; more decompositions exist.

Unicode codepoint
Triple Prime
U+2034
Other punctuation (Po)

UTF-8 encoding: E2 80 B4 (3 bytes).

Hex color
#002034
RGB(0, 32, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.52.

Address
0.0.32.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.32.52

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

Musical pitch

Heard as a frequency, 8,244 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -27¢)
  • Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +11¢)
  • Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -25¢)
Position in π

The digit sequence 8244 first appears in π at position 8,401 of the decimal expansion (the 8,401ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.