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Number

8,101

8,101 is a prime, odd.

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

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

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)
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

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
Greek Small Letter Omega With Dasia And Oxia And Ypogegrammeni
U+1FA5
Lowercase letter (Ll)

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

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.

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.