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8,213

8,213 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.).

8,213 (eight thousand two hundred thirteen) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 43 × 191. Written other ways, in hexadecimal, 0x2015.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
48
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
3,128
Recamán's sequence
a(10,341) = 8,213
Square (n²)
67,453,369
Cube (n³)
553,994,519,597
Divisor count
4
σ(n) — sum of divisors
8,448
φ(n) — Euler's totient
7,980
Sum of prime factors
234

Primality

Prime factorization: 43 × 191

Nearest primes: 8,209 (−4) · 8,219 (+6)

Divisors & multiples

All divisors (4)
1 · 43 · 191 · 8213
Aliquot sum (sum of proper divisors): 235
Factor pairs (a × b = 8,213)
1 × 8213
43 × 191
First multiples
8,213 · 16,426 (double) · 24,639 · 32,852 · 41,065 · 49,278 · 57,491 · 65,704 · 73,917 · 82,130

Sums & aliquot sequence

As consecutive integers: 4,106 + 4,107 170 + 171 + … + 212 53 + 54 + … + 138
Aliquot sequence: 8,213 235 53 1 0 — terminates at zero

Continued fraction of √n

√8,213 = [90; (1, 1, 1, 2, 25, 1, 1, 13, 2, 3, 4, 1, 1, 1, 1, 2, 1, 7, 6, 2, 1, 9, 1, 44, …)]

Representations

In words
eight thousand two hundred thirteen
Ordinal
8213th
Binary
10000000010101
Octal
20025
Hexadecimal
0x2015
Base64
IBU=
One's complement
57,322 (16-bit)
Scientific notation
8.213 × 10³
As a duration
8,213 s = 2 hours, 16 minutes, 53 seconds
In other bases
ternary (3) 102021012
quaternary (4) 2000111
quinary (5) 230323
senary (6) 102005
septenary (7) 32642
nonary (9) 12235
undecimal (11) 6197
duodecimal (12) 4905
tridecimal (13) 397a
tetradecimal (14) 2dc9
pentadecimal (15) 2678

As an angle

8,213° = 22 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ησιγʹ
Mayan (base 20)
𝋡·𝋠·𝋪·𝋭
Chinese
八千二百一十三
Chinese (financial)
捌仟貳佰壹拾參
In other modern scripts
Eastern Arabic ٨٢١٣ Devanagari ८२१३ Bengali ৮২১৩ Tamil ௮௨௧௩ Thai ๘๒๑๓ Tibetan ༨༢༡༣ Khmer ៨២១៣ Lao ໘໒໑໓ Burmese ၈၂၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 8,213 = 4
e — Euler's number (e)
Digit 8,213 = 7
φ — Golden ratio (φ)
Digit 8,213 = 7
√2 — Pythagoras's (√2)
Digit 8,213 = 7
ln 2 — Natural log of 2
Digit 8,213 = 4
γ — Euler-Mascheroni (γ)
Digit 8,213 = 2

Also seen as

Unicode codepoint
Horizontal Bar
U+2015
Dash punctuation (Pd)

UTF-8 encoding: E2 80 95 (3 bytes).

Hex color
#002015
RGB(0, 32, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.21.

Address
0.0.32.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.32.21

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

Musical pitch

Heard as a frequency, 8,213 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -33¢)
  • Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +4¢)
  • Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -32¢)
Position in π

The digit sequence 8213 first appears in π at position 279 of the decimal expansion (the 279ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.