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Number

20,357

20,357 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
75,302
Recamán's sequence
a(86,502) = 20,357
Square (n²)
414,407,449
Cube (n³)
8,436,092,439,293
Divisor count
2
σ(n) — sum of divisors
20,358
φ(n) — Euler's totient
20,356

Primality

20,357 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 20357
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 20,357)
1 × 20357
First multiples
20,357 · 40,714 (double) · 61,071 · 81,428 · 101,785 · 122,142 · 142,499 · 162,856 · 183,213 · 203,570

Sums & aliquot sequence

As a sum of two squares: 49² + 134²
As consecutive integers: 10,178 + 10,179

Representations

In words
twenty thousand three hundred fifty-seven
Ordinal
20357th
Binary
100111110000101
Octal
47605
Hexadecimal
0x4F85
Base64
T4U=
One's complement
45,178 (16-bit)
In other bases
ternary (3) 1000220222
quaternary (4) 10332011
quinary (5) 1122412
senary (6) 234125
septenary (7) 113231
nonary (9) 30828
undecimal (11) 14327
duodecimal (12) b945
tridecimal (13) 935c
tetradecimal (14) 75c1
pentadecimal (15) 6072

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κτνζʹ
Mayan (base 20)
𝋢·𝋪·𝋱·𝋱
Chinese
二萬零三百五十七
Chinese (financial)
貳萬零參佰伍拾柒
In other modern scripts
Eastern Arabic ٢٠٣٥٧ Devanagari २०३५७ Bengali ২০৩৫৭ Tamil ௨௦௩௫௭ Thai ๒๐๓๕๗ Tibetan ༢༠༣༥༧ Khmer ២០៣៥៧ Lao ໒໐໓໕໗ Burmese ၂၀၃၅၇

Digit at this position in famous constants

π — Pi (π)
Digit 20,357 = 6
e — Euler's number (e)
Digit 20,357 = 7
φ — Golden ratio (φ)
Digit 20,357 = 6
√2 — Pythagoras's (√2)
Digit 20,357 = 4
ln 2 — Natural log of 2
Digit 20,357 = 0
γ — Euler-Mascheroni (γ)
Digit 20,357 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 20,353 (gap of 4)
  • Next prime: 20,359 (gap of 2)

Pair status: twin with 20359, cousin with 20353.

Unicode codepoint
CJK Unified Ideograph-4F85
U+4F85
Other letter (Lo)

UTF-8 encoding: E4 BE 85 (3 bytes).

Hex color
#004F85
RGB(0, 79, 133)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.79.133.

Address
0.0.79.133
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.79.133

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

Position in π

The digit sequence 20357 first appears in π at position 16,169 of the decimal expansion (the 16,169ordinal-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.