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Number

83,221

83,221 is a prime, odd.

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
96
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
12,238
Recamán's sequence
a(116,249) = 83,221
Square (n²)
6,925,734,841
Cube (n³)
576,366,579,202,861
Divisor count
2
σ(n) — sum of divisors
83,222
φ(n) — Euler's totient
83,220

Primality

83,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 83221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 83,221)
1 × 83221
First multiples
83,221 · 166,442 (double) · 249,663 · 332,884 · 416,105 · 499,326 · 582,547 · 665,768 · 748,989 · 832,210

Sums & aliquot sequence

As a sum of two squares: 114² + 265²
As consecutive integers: 41,610 + 41,611

Representations

In words
eighty-three thousand two hundred twenty-one
Ordinal
83221st
Binary
10100010100010101
Octal
242425
Hexadecimal
0x14515
Base64
AUUV
One's complement
4,294,884,074 (32-bit)
In other bases
ternary (3) 11020011021
quaternary (4) 110110111
quinary (5) 10130341
senary (6) 1441141
septenary (7) 464425
nonary (9) 136137
undecimal (11) 57586
duodecimal (12) 401b1
tridecimal (13) 2bb58
tetradecimal (14) 22485
pentadecimal (15) 199d1

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵πγσκαʹ
Mayan (base 20)
𝋪·𝋨·𝋡·𝋡
Chinese
八萬三千二百二十一
Chinese (financial)
捌萬參仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ٨٣٢٢١ Devanagari ८३२२१ Bengali ৮৩২২১ Tamil ௮௩௨௨௧ Thai ๘๓๒๒๑ Tibetan ༨༣༢༢༡ Khmer ៨៣២២១ Lao ໘໓໒໒໑ Burmese ၈၃၂၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 83,221 = 3
e — Euler's number (e)
Digit 83,221 = 4
φ — Golden ratio (φ)
Digit 83,221 = 0
√2 — Pythagoras's (√2)
Digit 83,221 = 7
ln 2 — Natural log of 2
Digit 83,221 = 8
γ — Euler-Mascheroni (γ)
Digit 83,221 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 83,219 (gap of 2)
  • Next prime: 83,227 (gap of 6)

Pair status: twin with 83219, sexy with 83227.

Unicode codepoint
𔔕
Anatolian Hieroglyph A243
U+14515
Other letter (Lo)

UTF-8 encoding: F0 94 94 95 (4 bytes).

Hex color
#014515
RGB(1, 69, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.69.21.

Address
0.1.69.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.69.21

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000083221
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 83221 first appears in π at position 41,730 of the decimal expansion (the 41,730ordinal-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.