Live analysis

8,201

8,201 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.).

8,201 (eight thousand two hundred one) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 59 × 139. Written other ways, in hexadecimal, 0x2009.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

8,189 8,190 8,191 8,192 8,193 8,194 8,195 8,196 8,197 8,198 8,199 8,200 8,201 8,202 8,203 8,204 8,205 8,206 8,207 8,208 8,209 8,210 8,211 8,212 8,213

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 14 bits
Reversed: 1,028
Recamán's sequence: a(10,365) = 8,201
Square (n²): 67,256,401
Cube (n³): 551,569,744,601
Divisor count: 4
σ(n) — sum of divisors: 8,400
φ(n) — Euler's totient: 8,004
Sum of prime factors: 198

Primality

Prime factorization: 59 × 139

Nearest primes: 8,191 (−10) · 8,209 (+8)

Divisors & multiples

All divisors (4)

1 · 59 · 139 · 8201

Aliquot sum (sum of proper divisors): 199

Factor pairs (a × b = 8,201)

1 × 8201

59 × 139

First multiples

8,201 · 16,402 (double) · 24,603 · 32,804 · 41,005 · 49,206 · 57,407 · 65,608 · 73,809 · 82,010

Sums & aliquot sequence

As consecutive integers: 4,100 + 4,101 110 + 111 + … + 168 11 + 12 + … + 128

Aliquot sequence: 8,201 → 199 → 1 → 0 — terminates at zero

Continued fraction of √n

√8,201 = [90; (1, 1, 3, 1, 2, 2, 5, 4, 4, 3, 2, 5, 1, 4, 3, 35, 1, 10, 2, 1, 7, 5, 22, 2, …)]

Representations

In words: eight thousand two hundred one
Ordinal: 8201st
Binary: 10000000001001
Octal: 20011
Hexadecimal: 0x2009
Base64: IAk=
One's complement: 57,334 (16-bit)
Scientific notation: 8.201 × 10³
As a duration: 8,201 s = 2 hours, 16 minutes, 41 seconds

In other bases

ternary (3) 102020202

quaternary (4) 2000021

quinary (5) 230301

senary (6) 101545

septenary (7) 32624

nonary (9) 12222

undecimal (11) 6186

duodecimal (12) 48b5

tridecimal (13) 396b

tetradecimal (14) 2dbb

pentadecimal (15) 266b

As an angle

8,201° = 22 × 360° + 281°

281° ≈ 4.904 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian): ͵ησαʹ
Mayan (base 20): 𝋡·𝋠·𝋪·𝋡
Chinese: 八千二百零一
Chinese (financial): 捌仟貳佰零壹

In other modern scripts

Eastern Arabic ٨٢٠١ Devanagari ८२०१ Bengali ৮২০১ Tamil ௮௨௦௧ Thai ๘๒๐๑ Tibetan ༨༢༠༡ Khmer ៨២០១ Lao ໘໒໐໑ Burmese ၈၂၀၁

Digit at this position in famous constants

π — Pi (π): Digit 8,201 = 1
e — Euler's number (e): Digit 8,201 = 1
φ — Golden ratio (φ): Digit 8,201 = 2
√2 — Pythagoras's (√2): Digit 8,201 = 9
ln 2 — Natural log of 2: Digit 8,201 = 9
γ — Euler-Mascheroni (γ): Digit 8,201 = 3

Also seen as

Unicode codepoint

Thin Space

U+2009

Space separator (Zs)

UTF-8 encoding: E2 80 89 (3 bytes).

Lookup U+2009 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002009

RGB(0, 32, 9)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.9.

Address: 0.0.32.9
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.32.9

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

Musical pitch

Heard as a frequency, 8,201 Hz is closest to:

Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -36¢)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +2¢)
Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -34¢)

Position in π

The digit sequence 8201 first appears in π at position 8,896 of the decimal expansion (the 8,896ordinal-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 8201 on Pi Search ↗