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8,164

8,164 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 Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
19
Digit product
192
Digital root
1
Palindrome
No
Bit width
13 bits
Reversed
4,618
Recamán's sequence
a(10,439) = 8,164
Square (n²)
66,650,896
Cube (n³)
544,137,914,944
Divisor count
12
σ(n) — sum of divisors
15,484
φ(n) — Euler's totient
3,744
Sum of prime factors
174

Primality

Prime factorization: 2 2 × 13 × 157

Nearest primes: 8,161 (−3) · 8,167 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 157 · 314 · 628 · 2041 · 4082 (half) · 8164
Aliquot sum (sum of proper divisors): 7,320
Factor pairs (a × b = 8,164)
1 × 8164
2 × 4082
4 × 2041
13 × 628
26 × 314
52 × 157
First multiples
8,164 · 16,328 (double) · 24,492 · 32,656 · 40,820 · 48,984 · 57,148 · 65,312 · 73,476 · 81,640

Sums & aliquot sequence

As a sum of two squares: 8² + 90² = 42² + 80²
As consecutive integers: 1,017 + 1,018 + … + 1,024 622 + 623 + … + 634 27 + 28 + … + 130
Aliquot sequence: 8,164 7,320 15,000 31,860 68,940 140,724 224,396 168,304 164,760 329,880 660,120 1,320,600 2,964,840 6,228,120 14,300,520 32,873,880 73,983,480 — unresolved within range

Representations

In words
eight thousand one hundred sixty-four
Ordinal
8164th
Binary
1111111100100
Octal
17744
Hexadecimal
0x1FE4
Base64
H+Q=
One's complement
57,371 (16-bit)
In other bases
ternary (3) 102012101
quaternary (4) 1333210
quinary (5) 230124
senary (6) 101444
septenary (7) 32542
nonary (9) 12171
undecimal (11) 6152
duodecimal (12) 4884
tridecimal (13) 3940
tetradecimal (14) 2d92
pentadecimal (15) 2644

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ηρξδʹ
Mayan (base 20)
𝋡·𝋠·𝋨·𝋤
Chinese
八千一百六十四
Chinese (financial)
捌仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ٨١٦٤ Devanagari ८१६४ Bengali ৮১৬৪ Tamil ௮௧௬௪ Thai ๘๑๖๔ Tibetan ༨༡༦༤ Khmer ៨១៦៤ Lao ໘໑໖໔ Burmese ၈၁၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 8,164 = 8
e — Euler's number (e)
Digit 8,164 = 7
φ — Golden ratio (φ)
Digit 8,164 = 4
√2 — Pythagoras's (√2)
Digit 8,164 = 1
ln 2 — Natural log of 2
Digit 8,164 = 6
γ — Euler-Mascheroni (γ)
Digit 8,164 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8164, here are decompositions:

  • 3 + 8161 = 8164
  • 17 + 8147 = 8164
  • 41 + 8123 = 8164
  • 47 + 8117 = 8164
  • 53 + 8111 = 8164
  • 71 + 8093 = 8164
  • 83 + 8081 = 8164
  • 227 + 7937 = 8164

Showing the first eight; more decompositions exist.

Unicode codepoint
Greek Small Letter Rho With Psili
U+1FE4
Lowercase letter (Ll)

UTF-8 encoding: E1 BF A4 (3 bytes).

Hex color
#001FE4
RGB(0, 31, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.228.

Address
0.0.31.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.228

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

Position in π

The digit sequence 8164 first appears in π at position 67 of the decimal expansion (the 67ordinal-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.