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Number

20,873

20,873 is a prime, odd.

20,873 (twenty thousand eight hundred seventy-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x5189.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
37,802
Recamán's sequence
a(42,093) = 20,873
Square (n²)
435,682,129
Cube (n³)
9,093,993,078,617
Divisor count
2
σ(n) — sum of divisors
20,874
φ(n) — Euler's totient
20,872

Primality

20,873 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 20873
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 20,873)
1 × 20873
First multiples
20,873 · 41,746 (double) · 62,619 · 83,492 · 104,365 · 125,238 · 146,111 · 166,984 · 187,857 · 208,730

Sums & aliquot sequence

As a sum of two squares: 67² + 128²
As consecutive integers: 10,436 + 10,437

Continued fraction of √n

√20,873 = [144; (2, 9, 2, 6, 1, 1, 2, 1, 17, 2, 1, 11, 1, 8, 9, 4, 1, 3, 1, 2, 2, 5, 35, 1, …)]

Period length 53 — the block in parentheses repeats forever.

Representations

In words
twenty thousand eight hundred seventy-three
Ordinal
20873rd
Binary
101000110001001
Octal
50611
Hexadecimal
0x5189
Base64
UYk=
One's complement
44,662 (16-bit)
Scientific notation
2.0873 × 10⁴
As a duration
20,873 s = 5 hours, 47 minutes, 53 seconds
In other bases
ternary (3) 1001122002
quaternary (4) 11012021
quinary (5) 1131443
senary (6) 240345
septenary (7) 114566
nonary (9) 31562
undecimal (11) 14756
duodecimal (12) 100b5
tridecimal (13) 9668
tetradecimal (14) 786d
pentadecimal (15) 62b8

As an angle

20,873° = 57 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵κωογʹ
Mayan (base 20)
𝋢·𝋬·𝋣·𝋭
Chinese
二萬零八百七十三
Chinese (financial)
貳萬零捌佰柒拾參
In other modern scripts
Eastern Arabic ٢٠٨٧٣ Devanagari २०८७३ Bengali ২০৮৭৩ Tamil ௨௦௮௭௩ Thai ๒๐๘๗๓ Tibetan ༢༠༨༧༣ Khmer ២០៨៧៣ Lao ໒໐໘໗໓ Burmese ၂၀၈၇၃

Digit at this position in famous constants

π — Pi (π)
Digit 20,873 = 5
e — Euler's number (e)
Digit 20,873 = 6
φ — Golden ratio (φ)
Digit 20,873 = 9
√2 — Pythagoras's (√2)
Digit 20,873 = 2
ln 2 — Natural log of 2
Digit 20,873 = 7
γ — Euler-Mascheroni (γ)
Digit 20,873 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 20,857 (gap of 16)
  • Next prime: 20,879 (gap of 6)

Pair status: sexy with 20879.

Unicode codepoint
CJK Unified Ideograph-5189
U+5189
Other letter (Lo)

UTF-8 encoding: E5 86 89 (3 bytes).

Hex color
#005189
RGB(0, 81, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.81.137.

Address
0.0.81.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.81.137

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

Position in π

The digit sequence 20873 first appears in π at position 39,137 of the decimal expansion (the 39,137ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.