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Number

20,353

20,353 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
35,302
Recamán's sequence
a(86,510) = 20,353
Square (n²)
414,244,609
Cube (n³)
8,431,120,526,977
Divisor count
2
σ(n) — sum of divisors
20,354
φ(n) — Euler's totient
20,352

Primality

20,353 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 20353
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 20,353)
1 × 20353
First multiples
20,353 · 40,706 (double) · 61,059 · 81,412 · 101,765 · 122,118 · 142,471 · 162,824 · 183,177 · 203,530

Sums & aliquot sequence

As a sum of two squares: 63² + 128²
As consecutive integers: 10,176 + 10,177

Representations

In words
twenty thousand three hundred fifty-three
Ordinal
20353rd
Binary
100111110000001
Octal
47601
Hexadecimal
0x4F81
Base64
T4E=
One's complement
45,182 (16-bit)
In other bases
ternary (3) 1000220211
quaternary (4) 10332001
quinary (5) 1122403
senary (6) 234121
septenary (7) 113224
nonary (9) 30824
undecimal (11) 14323
duodecimal (12) b941
tridecimal (13) 9358
tetradecimal (14) 75bb
pentadecimal (15) 606d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵κτνγʹ
Mayan (base 20)
𝋢·𝋪·𝋱·𝋭
Chinese
二萬零三百五十三
Chinese (financial)
貳萬零參佰伍拾參
In other modern scripts
Eastern Arabic ٢٠٣٥٣ Devanagari २०३५३ Bengali ২০৩৫৩ Tamil ௨௦௩௫௩ Thai ๒๐๓๕๓ Tibetan ༢༠༣༥༣ Khmer ២០៣៥៣ Lao ໒໐໓໕໓ Burmese ၂၀၃၅၃

Digit at this position in famous constants

π — Pi (π)
Digit 20,353 = 6
e — Euler's number (e)
Digit 20,353 = 1
φ — Golden ratio (φ)
Digit 20,353 = 5
√2 — Pythagoras's (√2)
Digit 20,353 = 4
ln 2 — Natural log of 2
Digit 20,353 = 0
γ — Euler-Mascheroni (γ)
Digit 20,353 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 20,347 (gap of 6)
  • Next prime: 20,357 (gap of 4)

Pair status: cousin with 20357, sexy with 20347.

Unicode codepoint
CJK Unified Ideograph-4F81
U+4F81
Other letter (Lo)

UTF-8 encoding: E4 BE 81 (3 bytes).

Hex color
#004F81
RGB(0, 79, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.79.129.

Address
0.0.79.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.79.129

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

Position in π

The digit sequence 20353 first appears in π at position 1,050 of the decimal expansion (the 1,050ordinal-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.