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Number

20,173

20,173 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
37,102
Recamán's sequence
a(5,029) = 20,173
Square (n²)
406,949,929
Cube (n³)
8,209,400,917,717
Divisor count
2
σ(n) — sum of divisors
20,174
φ(n) — Euler's totient
20,172

Primality

20,173 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 20173
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 20,173)
1 × 20173
First multiples
20,173 · 40,346 (double) · 60,519 · 80,692 · 100,865 · 121,038 · 141,211 · 161,384 · 181,557 · 201,730

Sums & aliquot sequence

As a sum of two squares: 3² + 142²
As consecutive integers: 10,086 + 10,087

Representations

In words
twenty thousand one hundred seventy-three
Ordinal
20173rd
Binary
100111011001101
Octal
47315
Hexadecimal
0x4ECD
Base64
Ts0=
One's complement
45,362 (16-bit)
In other bases
ternary (3) 1000200011
quaternary (4) 10323031
quinary (5) 1121143
senary (6) 233221
septenary (7) 112546
nonary (9) 30604
undecimal (11) 1417a
duodecimal (12) b811
tridecimal (13) 924a
tetradecimal (14) 74cd
pentadecimal (15) 5e9d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵κρογʹ
Mayan (base 20)
𝋢·𝋪·𝋨·𝋭
Chinese
二萬零一百七十三
Chinese (financial)
貳萬零壹佰柒拾參
In other modern scripts
Eastern Arabic ٢٠١٧٣ Devanagari २०१७३ Bengali ২০১৭৩ Tamil ௨௦௧௭௩ Thai ๒๐๑๗๓ Tibetan ༢༠༡༧༣ Khmer ២០១៧៣ Lao ໒໐໑໗໓ Burmese ၂၀၁၇၃

Digit at this position in famous constants

π — Pi (π)
Digit 20,173 = 7
e — Euler's number (e)
Digit 20,173 = 0
φ — Golden ratio (φ)
Digit 20,173 = 5
√2 — Pythagoras's (√2)
Digit 20,173 = 9
ln 2 — Natural log of 2
Digit 20,173 = 8
γ — Euler-Mascheroni (γ)
Digit 20,173 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 20,161 (gap of 12)
  • Next prime: 20,177 (gap of 4)

Pair status: cousin with 20177.

Unicode codepoint
CJK Unified Ideograph-4Ecd
U+4ECD
Other letter (Lo)

UTF-8 encoding: E4 BB 8D (3 bytes).

Hex color
#004ECD
RGB(0, 78, 205)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.205.

Address
0.0.78.205
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.78.205

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

Position in π

The digit sequence 20173 first appears in π at position 114,023 of the decimal expansion (the 114,023ordinal-suffix:rd 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.