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Number

84,221

84,221 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
128
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
12,248
Recamán's sequence
a(268,706) = 84,221
Square (n²)
7,093,176,841
Cube (n³)
597,394,446,725,861
Divisor count
2
σ(n) — sum of divisors
84,222
φ(n) — Euler's totient
84,220

Primality

84,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 84221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 84,221)
1 × 84221
First multiples
84,221 · 168,442 (double) · 252,663 · 336,884 · 421,105 · 505,326 · 589,547 · 673,768 · 757,989 · 842,210

Sums & aliquot sequence

As a sum of two squares: 11² + 290²
As consecutive integers: 42,110 + 42,111

Representations

In words
eighty-four thousand two hundred twenty-one
Ordinal
84221st
Binary
10100100011111101
Octal
244375
Hexadecimal
0x148FD
Base64
AUj9
One's complement
4,294,883,074 (32-bit)
In other bases
ternary (3) 11021112022
quaternary (4) 110203331
quinary (5) 10143341
senary (6) 1445525
septenary (7) 500354
nonary (9) 137468
undecimal (11) 58305
duodecimal (12) 408a5
tridecimal (13) 2c447
tetradecimal (14) 2299b
pentadecimal (15) 19e4b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵πδσκαʹ
Mayan (base 20)
𝋪·𝋪·𝋫·𝋡
Chinese
八萬四千二百二十一
Chinese (financial)
捌萬肆仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ٨٤٢٢١ Devanagari ८४२२१ Bengali ৮৪২২১ Tamil ௮௪௨௨௧ Thai ๘๔๒๒๑ Tibetan ༨༤༢༢༡ Khmer ៨៤២២១ Lao ໘໔໒໒໑ Burmese ၈၄၂၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 84,221 = 8
e — Euler's number (e)
Digit 84,221 = 5
φ — Golden ratio (φ)
Digit 84,221 = 6
√2 — Pythagoras's (√2)
Digit 84,221 = 1
ln 2 — Natural log of 2
Digit 84,221 = 3
γ — Euler-Mascheroni (γ)
Digit 84,221 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 84,211 (gap of 10)
  • Next prime: 84,223 (gap of 2)

Pair status: twin with 84223.

Hex color
#0148FD
RGB(1, 72, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.72.253.

Address
0.1.72.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.72.253

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

Position in π

The digit sequence 84221 first appears in π at position 159,896 of the decimal expansion (the 159,896ordinal-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.