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8,864

8,864 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.).

8,864 (eight thousand eight hundred sixty-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 277. Written other ways, in hexadecimal, 0x22A0.

Deficient Number Evil Number Recamán's Sequence Smith Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
26
Digit product
1,536
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
4,688
Recamán's sequence
a(24,868) = 8,864
Square (n²)
78,570,496
Cube (n³)
696,448,876,544
Divisor count
12
σ(n) — sum of divisors
17,514
φ(n) — Euler's totient
4,416
Sum of prime factors
287

Primality

Prime factorization: 2 5 × 277

Nearest primes: 8,863 (−1) · 8,867 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 277 · 554 · 1108 · 2216 · 4432 (half) · 8864
Aliquot sum (sum of proper divisors): 8,650
Factor pairs (a × b = 8,864)
1 × 8864
2 × 4432
4 × 2216
8 × 1108
16 × 554
32 × 277
First multiples
8,864 · 17,728 (double) · 26,592 · 35,456 · 44,320 · 53,184 · 62,048 · 70,912 · 79,776 · 88,640

Sums & aliquot sequence

As a sum of two squares: 20² + 92²
As consecutive integers: 107 + 108 + … + 170
Aliquot sequence: 8,864 8,650 7,532 7,588 7,644 14,700 34,776 80,424 137,586 149,838 194,898 230,478 236,082 371,310 519,906 535,038 688,002 — unresolved within range

Continued fraction of √n

√8,864 = [94; (6, 1, 2, 1, 1, 3, 3, 1, 2, 1, 1, 1, 11, 7, 2, 4, 7, 1, 26, 47, 26, 1, 7, 4, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
eight thousand eight hundred sixty-four
Ordinal
8864th
Binary
10001010100000
Octal
21240
Hexadecimal
0x22A0
Base64
IqA=
One's complement
56,671 (16-bit)
Scientific notation
8.864 × 10³
As a duration
8,864 s = 2 hours, 27 minutes, 44 seconds
In other bases
ternary (3) 110011022
quaternary (4) 2022200
quinary (5) 240424
senary (6) 105012
septenary (7) 34562
nonary (9) 13138
undecimal (11) 6729
duodecimal (12) 5168
tridecimal (13) 405b
tetradecimal (14) 3332
pentadecimal (15) 295e

As an angle

8,864° = 24 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ηωξδʹ
Mayan (base 20)
𝋡·𝋢·𝋣·𝋤
Chinese
八千八百六十四
Chinese (financial)
捌仟捌佰陸拾肆
In other modern scripts
Eastern Arabic ٨٨٦٤ Devanagari ८८६४ Bengali ৮৮৬৪ Tamil ௮௮௬௪ Thai ๘๘๖๔ Tibetan ༨༨༦༤ Khmer ៨៨៦៤ Lao ໘໘໖໔ Burmese ၈၈၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 8,864 = 1
e — Euler's number (e)
Digit 8,864 = 2
φ — Golden ratio (φ)
Digit 8,864 = 8
√2 — Pythagoras's (√2)
Digit 8,864 = 1
ln 2 — Natural log of 2
Digit 8,864 = 0
γ — Euler-Mascheroni (γ)
Digit 8,864 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8864, here are decompositions:

  • 3 + 8861 = 8864
  • 43 + 8821 = 8864
  • 61 + 8803 = 8864
  • 103 + 8761 = 8864
  • 127 + 8737 = 8864
  • 151 + 8713 = 8864
  • 157 + 8707 = 8864
  • 223 + 8641 = 8864

Showing the first eight; more decompositions exist.

Unicode codepoint
Squared Times
U+22A0
Math symbol (Sm)

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

Hex color
#0022A0
RGB(0, 34, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.34.160.

Address
0.0.34.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.34.160

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

Musical pitch

Heard as a frequency, 8,864 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯9 (8869.8 Hz, -1¢)
  • Scientific pitch (C4 = 256 Hz): C♯9 (8679.1 Hz, +36¢)
  • Baroque pitch (A4 = 415 Hz): D9 (8863.3 Hz, exact)
Position in π

The digit sequence 8864 first appears in π at position 2,384 of the decimal expansion (the 2,384ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.