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Number

42,221

42,221 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
32
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
12,224
Recamán's sequence
a(151,181) = 42,221
Square (n²)
1,782,612,841
Cube (n³)
75,263,696,759,861
Divisor count
2
σ(n) — sum of divisors
42,222
φ(n) — Euler's totient
42,220

Primality

42,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 42221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 42,221)
1 × 42221
First multiples
42,221 · 84,442 (double) · 126,663 · 168,884 · 211,105 · 253,326 · 295,547 · 337,768 · 379,989 · 422,210

Sums & aliquot sequence

As a sum of two squares: 14² + 205²
As consecutive integers: 21,110 + 21,111

Representations

In words
forty-two thousand two hundred twenty-one
Ordinal
42221st
Binary
1010010011101101
Octal
122355
Hexadecimal
0xA4ED
Base64
pO0=
One's complement
23,314 (16-bit)
In other bases
ternary (3) 2010220202
quaternary (4) 22103231
quinary (5) 2322341
senary (6) 523245
septenary (7) 234044
nonary (9) 63822
undecimal (11) 297a3
duodecimal (12) 20525
tridecimal (13) 162aa
tetradecimal (14) 1155b
pentadecimal (15) c79b

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵μβσκαʹ
Mayan (base 20)
𝋥·𝋥·𝋫·𝋡
Chinese
四萬二千二百二十一
Chinese (financial)
肆萬貳仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ٤٢٢٢١ Devanagari ४२२२१ Bengali ৪২২২১ Tamil ௪௨௨௨௧ Thai ๔๒๒๒๑ Tibetan ༤༢༢༢༡ Khmer ៤២២២១ Lao ໔໒໒໒໑ Burmese ၄၂၂၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 42,221 = 4
e — Euler's number (e)
Digit 42,221 = 4
φ — Golden ratio (φ)
Digit 42,221 = 3
√2 — Pythagoras's (√2)
Digit 42,221 = 9
ln 2 — Natural log of 2
Digit 42,221 = 5
γ — Euler-Mascheroni (γ)
Digit 42,221 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 42,209 (gap of 12)
  • Next prime: 42,223 (gap of 2)

Pair status: twin with 42223.

Unicode codepoint
Lisu Letter Gha
U+A4ED
Other letter (Lo)

UTF-8 encoding: EA 93 AD (3 bytes).

Hex color
#00A4ED
RGB(0, 164, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.237.

Address
0.0.164.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.164.237

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

Position in π

The digit sequence 42221 first appears in π at position 86,211 of the decimal expansion (the 86,211ordinal-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.