Number

8,101

8,101 is a prime, odd.

8,101 (eight thousand one hundred one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1FA5.

Arithmetic Number Cube-Free Deficient Number Flippable Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

8,089 8,090 8,091 8,092 8,093 8,094 8,095 8,096 8,097 8,098 8,099 8,100 8,101 8,102 8,103 8,104 8,105 8,106 8,107 8,108 8,109 8,110 8,111 8,112 8,113

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 13 bits
Reversed: 1,018
Flips to (rotate 180°): 1,018
Recamán's sequence: a(52,149) = 8,101
Square (n²): 65,626,201
Cube (n³): 531,637,854,301
Divisor count: 2
σ(n) — sum of divisors: 8,102
φ(n) — Euler's totient: 8,100

Primality

8,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 8101

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 8,101)

1 × 8101

First multiples

8,101 · 16,202 (double) · 24,303 · 32,404 · 40,505 · 48,606 · 56,707 · 64,808 · 72,909 · 81,010

Sums & aliquot sequence

As a sum of two squares: 1² + 90²

As consecutive integers: 4,050 + 4,051

Continued fraction of √n

√8,101 = [90; (180)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words: eight thousand one hundred one
Ordinal: 8101st
Binary: 1111110100101
Octal: 17645
Hexadecimal: 0x1FA5
Base64: H6U=
One's complement: 57,434 (16-bit)
Scientific notation: 8.101 × 10³
As a duration: 8,101 s = 2 hours, 15 minutes, 1 second

In other bases

ternary (3) 102010001

quaternary (4) 1332211

quinary (5) 224401

senary (6) 101301

septenary (7) 32422

nonary (9) 12101

undecimal (11) 60a5

duodecimal (12) 4831

tridecimal (13) 38c2

tetradecimal (14) 2d49

pentadecimal (15) 2601

As an angle

8,101° = 22 × 360° + 181°

181° ≈ 3.159 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺
Greek (Milesian): ͵ηραʹ
Mayan (base 20): 𝋡·𝋠·𝋥·𝋡
Chinese: 八千一百零一
Chinese (financial): 捌仟壹佰零壹

In other modern scripts

Eastern Arabic ٨١٠١ Devanagari ८१०१ Bengali ৮১০১ Tamil ௮௧௦௧ Thai ๘๑๐๑ Tibetan ༨༡༠༡ Khmer ៨១០១ Lao ໘໑໐໑ Burmese ၈၁၀၁

Digit at this position in famous constants

π — Pi (π): Digit 8,101 = 8
e — Euler's number (e): Digit 8,101 = 7
φ — Golden ratio (φ): Digit 8,101 = 0
√2 — Pythagoras's (√2): Digit 8,101 = 6
ln 2 — Natural log of 2: Digit 8,101 = 9
γ — Euler-Mascheroni (γ): Digit 8,101 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 8,093 (gap of 8)
Next prime: 8,111 (gap of 10)

Unicode codepoint

ᾥ

Greek Small Letter Omega With Dasia And Oxia And Ypogegrammeni

U+1FA5

Lowercase letter (Ll)

UTF-8 encoding: E1 BE A5 (3 bytes).

Lookup U+1FA5 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001FA5

RGB(0, 31, 165)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.165.

Address: 0.0.31.165
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.31.165

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

Musical pitch

Heard as a frequency, 8,101 Hz is closest to:

Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +43¢)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -19¢)
Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +44¢)

Position in π

The digit sequence 8101 first appears in π at position 11,936 of the decimal expansion (the 11,936ordinal-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 8101 on Pi Search ↗