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Number

8,053

8,053 is a prime, odd.

8,053 (eight thousand fifty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1F75.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
3,508
Recamán's sequence
a(25,490) = 8,053
Square (n²)
64,850,809
Cube (n³)
522,243,564,877
Divisor count
2
σ(n) — sum of divisors
8,054
φ(n) — Euler's totient
8,052

Primality

8,053 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 8053
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 8,053)
1 × 8053
First multiples
8,053 · 16,106 (double) · 24,159 · 32,212 · 40,265 · 48,318 · 56,371 · 64,424 · 72,477 · 80,530

Sums & aliquot sequence

As a sum of two squares: 22² + 87²
As consecutive integers: 4,026 + 4,027

Continued fraction of √n

√8,053 = [89; (1, 2, 1, 4, 1, 2, 4, 1, 1, 1, 2, 1, 1, 59, 4, 16, 14, 1, 8, 1, 1, 19, 2, 2, …)]

Representations

In words
eight thousand fifty-three
Ordinal
8053rd
Binary
1111101110101
Octal
17565
Hexadecimal
0x1F75
Base64
H3U=
One's complement
57,482 (16-bit)
Scientific notation
8.053 × 10³
As a duration
8,053 s = 2 hours, 14 minutes, 13 seconds
In other bases
ternary (3) 102001021
quaternary (4) 1331311
quinary (5) 224203
senary (6) 101141
septenary (7) 32323
nonary (9) 12037
undecimal (11) 6061
duodecimal (12) 47b1
tridecimal (13) 3886
tetradecimal (14) 2d13
pentadecimal (15) 25bd
Palindromic in base 7

As an angle

8,053° = 22 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ηνγʹ
Mayan (base 20)
𝋡·𝋠·𝋢·𝋭
Chinese
八千零五十三
Chinese (financial)
捌仟零伍拾參
In other modern scripts
Eastern Arabic ٨٠٥٣ Devanagari ८०५३ Bengali ৮০৫৩ Tamil ௮௦௫௩ Thai ๘๐๕๓ Tibetan ༨༠༥༣ Khmer ៨០៥៣ Lao ໘໐໕໓ Burmese ၈၀၅၃

Digit at this position in famous constants

π — Pi (π)
Digit 8,053 = 4
e — Euler's number (e)
Digit 8,053 = 0
φ — Golden ratio (φ)
Digit 8,053 = 8
√2 — Pythagoras's (√2)
Digit 8,053 = 0
ln 2 — Natural log of 2
Digit 8,053 = 1
γ — Euler-Mascheroni (γ)
Digit 8,053 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 8,039 (gap of 14)
  • Next prime: 8,059 (gap of 6)

Pair status: sexy with 8059.

Unicode codepoint
Greek Small Letter Eta With Oxia
U+1F75
Lowercase letter (Ll)

UTF-8 encoding: E1 BD B5 (3 bytes).

Hex color
#001F75
RGB(0, 31, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.117.

Address
0.0.31.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.117

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

Musical pitch

Heard as a frequency, 8,053 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +33¢)
  • Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -30¢)
  • Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +34¢)
Position in π

The digit sequence 8053 first appears in π at position 956 of the decimal expansion (the 956ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.