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Number

21,193

21,193 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
54
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
39,112
Recamán's sequence
a(41,453) = 21,193
Square (n²)
449,143,249
Cube (n³)
9,518,692,876,057
Divisor count
2
σ(n) — sum of divisors
21,194
φ(n) — Euler's totient
21,192

Primality

21,193 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21193
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,193)
1 × 21193
First multiples
21,193 · 42,386 (double) · 63,579 · 84,772 · 105,965 · 127,158 · 148,351 · 169,544 · 190,737 · 211,930

Sums & aliquot sequence

As a sum of two squares: 93² + 112²
As consecutive integers: 10,596 + 10,597

Representations

In words
twenty-one thousand one hundred ninety-three
Ordinal
21193rd
Binary
101001011001001
Octal
51311
Hexadecimal
0x52C9
Base64
Usk=
One's complement
44,342 (16-bit)
In other bases
ternary (3) 1002001221
quaternary (4) 11023021
quinary (5) 1134233
senary (6) 242041
septenary (7) 115534
nonary (9) 32057
undecimal (11) 14a17
duodecimal (12) 10321
tridecimal (13) 9853
tetradecimal (14) 7a1b
pentadecimal (15) 642d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵καρϟγʹ
Mayan (base 20)
𝋢·𝋬·𝋳·𝋭
Chinese
二萬一千一百九十三
Chinese (financial)
貳萬壹仟壹佰玖拾參
In other modern scripts
Eastern Arabic ٢١١٩٣ Devanagari २११९३ Bengali ২১১৯৩ Tamil ௨௧௧௯௩ Thai ๒๑๑๙๓ Tibetan ༢༡༡༩༣ Khmer ២១១៩៣ Lao ໒໑໑໙໓ Burmese ၂၁၁၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 21,193 = 1
e — Euler's number (e)
Digit 21,193 = 0
φ — Golden ratio (φ)
Digit 21,193 = 3
√2 — Pythagoras's (√2)
Digit 21,193 = 4
ln 2 — Natural log of 2
Digit 21,193 = 0
γ — Euler-Mascheroni (γ)
Digit 21,193 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,191 (gap of 2)
  • Next prime: 21,211 (gap of 18)

Pair status: twin with 21191.

Unicode codepoint
CJK Unified Ideograph-52C9
U+52C9
Other letter (Lo)

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

Hex color
#0052C9
RGB(0, 82, 201)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.201.

Address
0.0.82.201
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.201

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

Position in π

The digit sequence 21193 first appears in π at position 338,330 of the decimal expansion (the 338,330ordinal-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.