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Number

20,441

20,441 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
14,402
Recamán's sequence
a(86,334) = 20,441
Square (n²)
417,834,481
Cube (n³)
8,540,954,626,121
Divisor count
2
σ(n) — sum of divisors
20,442
φ(n) — Euler's totient
20,440

Primality

20,441 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 20441
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 20,441)
1 × 20441
First multiples
20,441 · 40,882 (double) · 61,323 · 81,764 · 102,205 · 122,646 · 143,087 · 163,528 · 183,969 · 204,410

Sums & aliquot sequence

As a sum of two squares: 29² + 140²
As consecutive integers: 10,220 + 10,221

Representations

In words
twenty thousand four hundred forty-one
Ordinal
20441st
Binary
100111111011001
Octal
47731
Hexadecimal
0x4FD9
Base64
T9k=
One's complement
45,094 (16-bit)
In other bases
ternary (3) 1001001002
quaternary (4) 10333121
quinary (5) 1123231
senary (6) 234345
septenary (7) 113411
nonary (9) 31032
undecimal (11) 143a3
duodecimal (12) b9b5
tridecimal (13) 93c5
tetradecimal (14) 7641
pentadecimal (15) 60cb

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵κυμαʹ
Mayan (base 20)
𝋢·𝋫·𝋢·𝋡
Chinese
二萬零四百四十一
Chinese (financial)
貳萬零肆佰肆拾壹
In other modern scripts
Eastern Arabic ٢٠٤٤١ Devanagari २०४४१ Bengali ২০৪৪১ Tamil ௨௦௪௪௧ Thai ๒๐๔๔๑ Tibetan ༢༠༤༤༡ Khmer ២០៤៤១ Lao ໒໐໔໔໑ Burmese ၂၀၄၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 20,441 = 8
e — Euler's number (e)
Digit 20,441 = 7
φ — Golden ratio (φ)
Digit 20,441 = 8
√2 — Pythagoras's (√2)
Digit 20,441 = 5
ln 2 — Natural log of 2
Digit 20,441 = 5
γ — Euler-Mascheroni (γ)
Digit 20,441 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 20,431 (gap of 10)
  • Next prime: 20,443 (gap of 2)

Pair status: twin with 20443.

Unicode codepoint
CJK Unified Ideograph-4Fd9
U+4FD9
Other letter (Lo)

UTF-8 encoding: E4 BF 99 (3 bytes).

Hex color
#004FD9
RGB(0, 79, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.79.217.

Address
0.0.79.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.79.217

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

Position in π

The digit sequence 20441 first appears in π at position 89,308 of the decimal expansion (the 89,308ordinal-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.