number.wiki
Number

83,813

83,813 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
23
Digit product
576
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
31,838
Recamán's sequence
a(25,037) = 83,813
Square (n²)
7,024,618,969
Cube (n³)
588,754,389,648,797
Divisor count
2
σ(n) — sum of divisors
83,814
φ(n) — Euler's totient
83,812

Primality

83,813 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 83813
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 83,813)
1 × 83813
First multiples
83,813 · 167,626 (double) · 251,439 · 335,252 · 419,065 · 502,878 · 586,691 · 670,504 · 754,317 · 838,130

Sums & aliquot sequence

As a sum of two squares: 38² + 287²
As consecutive integers: 41,906 + 41,907

Representations

In words
eighty-three thousand eight hundred thirteen
Ordinal
83813th
Binary
10100011101100101
Octal
243545
Hexadecimal
0x14765
Base64
AUdl
One's complement
4,294,883,482 (32-bit)
In other bases
ternary (3) 11020222012
quaternary (4) 110131211
quinary (5) 10140223
senary (6) 1444005
septenary (7) 466232
nonary (9) 136865
undecimal (11) 57a74
duodecimal (12) 40605
tridecimal (13) 2c1c2
tetradecimal (14) 22789
pentadecimal (15) 19c78

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵πγωιγʹ
Mayan (base 20)
𝋪·𝋩·𝋪·𝋭
Chinese
八萬三千八百一十三
Chinese (financial)
捌萬參仟捌佰壹拾參
In other modern scripts
Eastern Arabic ٨٣٨١٣ Devanagari ८३८१३ Bengali ৮৩৮১৩ Tamil ௮௩௮௧௩ Thai ๘๓๘๑๓ Tibetan ༨༣༨༡༣ Khmer ៨៣៨១៣ Lao ໘໓໘໑໓ Burmese ၈၃၈၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 83,813 = 0
e — Euler's number (e)
Digit 83,813 = 2
φ — Golden ratio (φ)
Digit 83,813 = 3
√2 — Pythagoras's (√2)
Digit 83,813 = 4
ln 2 — Natural log of 2
Digit 83,813 = 5
γ — Euler-Mascheroni (γ)
Digit 83,813 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 83,791 (gap of 22)
  • Next prime: 83,833 (gap of 20)
Hex color
#014765
RGB(1, 71, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.71.101.

Address
0.1.71.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.71.101

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

Position in π

The digit sequence 83813 first appears in π at position 30,612 of the decimal expansion (the 30,612ordinal-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.