Live analysis

8,021

8,021 is a composite number, odd.

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.).

8,021 (eight thousand twenty-one) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 13 × 617. Written other ways, in hexadecimal, 0x1F55.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence Semiprime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

8,009 8,010 8,011 8,012 8,013 8,014 8,015 8,016 8,017 8,018 8,019 8,020 8,021 8,022 8,023 8,024 8,025 8,026 8,027 8,028 8,029 8,030 8,031 8,032 8,033

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 13 bits
Reversed: 1,208
Recamán's sequence: a(25,554) = 8,021
Square (n²): 64,336,441
Cube (n³): 516,042,593,261
Divisor count: 4
σ(n) — sum of divisors: 8,652
φ(n) — Euler's totient: 7,392
Sum of prime factors: 630

Primality

Prime factorization: 13 × 617

Nearest primes: 8,017 (−4) · 8,039 (+18)

Divisors & multiples

All divisors (4)

1 · 13 · 617 · 8021

Aliquot sum (sum of proper divisors): 631

Factor pairs (a × b = 8,021)

1 × 8021

13 × 617

First multiples

8,021 · 16,042 (double) · 24,063 · 32,084 · 40,105 · 48,126 · 56,147 · 64,168 · 72,189 · 80,210

Sums & aliquot sequence

As a sum of two squares: 10² + 89² = 25² + 86²

As consecutive integers: 4,010 + 4,011 611 + 612 + … + 623 296 + 297 + … + 321

Aliquot sequence: 8,021 → 631 → 1 → 0 — terminates at zero

Continued fraction of √n

√8,021 = [89; (1, 1, 3, 1, 1, 1, 44, 7, 7, 44, 1, 1, 1, 3, 1, 1, 178)]

Period length 17 — the block in parentheses repeats forever.

Representations

In words: eight thousand twenty-one
Ordinal: 8021st
Binary: 1111101010101
Octal: 17525
Hexadecimal: 0x1F55
Base64: H1U=
One's complement: 57,514 (16-bit)
Scientific notation: 8.021 × 10³
As a duration: 8,021 s = 2 hours, 13 minutes, 41 seconds

In other bases

ternary (3) 102000002

quaternary (4) 1331111

quinary (5) 224041

senary (6) 101045

septenary (7) 32246

nonary (9) 12002

undecimal (11) 6032

duodecimal (12) 4785

tridecimal (13) 3860

tetradecimal (14) 2ccd

pentadecimal (15) 259b

As an angle

8,021° = 22 × 360° + 101°

101° ≈ 1.763 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian): ͵ηκαʹ
Mayan (base 20): 𝋡·𝋠·𝋡·𝋡
Chinese: 八千零二十一
Chinese (financial): 捌仟零貳拾壹

In other modern scripts

Eastern Arabic ٨٠٢١ Devanagari ८०२१ Bengali ৮০২১ Tamil ௮௦௨௧ Thai ๘๐๒๑ Tibetan ༨༠༢༡ Khmer ៨០២១ Lao ໘໐໒໑ Burmese ၈၀၂၁

Digit at this position in famous constants

π — Pi (π): Digit 8,021 = 5
e — Euler's number (e): Digit 8,021 = 9
φ — Golden ratio (φ): Digit 8,021 = 5
√2 — Pythagoras's (√2): Digit 8,021 = 7
ln 2 — Natural log of 2: Digit 8,021 = 8
γ — Euler-Mascheroni (γ): Digit 8,021 = 2

Also seen as

Unicode codepoint

ὕ

Greek Small Letter Upsilon With Dasia And Oxia

U+1F55

Lowercase letter (Ll)

UTF-8 encoding: E1 BD 95 (3 bytes).

Lookup U+1F55 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001F55

RGB(0, 31, 85)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.85.

Address: 0.0.31.85
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.31.85

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

Musical pitch

Heard as a frequency, 8,021 Hz is closest to:

Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +26¢)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -37¢)
Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +27¢)

Position in π

The digit sequence 8021 first appears in π at position 9,916 of the decimal expansion (the 9,916ordinal-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.

Look up 8021 on Pi Search ↗