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Number

42,193

42,193 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
19
Digit product
216
Digital root
1
Palindrome
No
Bit width
16 bits
Reversed
39,124
Recamán's sequence
a(151,237) = 42,193
Square (n²)
1,780,249,249
Cube (n³)
75,114,056,563,057
Divisor count
2
σ(n) — sum of divisors
42,194
φ(n) — Euler's totient
42,192

Primality

42,193 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 42193
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 42,193)
1 × 42193
First multiples
42,193 · 84,386 (double) · 126,579 · 168,772 · 210,965 · 253,158 · 295,351 · 337,544 · 379,737 · 421,930

Sums & aliquot sequence

As a sum of two squares: 73² + 192²
As consecutive integers: 21,096 + 21,097

Representations

In words
forty-two thousand one hundred ninety-three
Ordinal
42193rd
Binary
1010010011010001
Octal
122321
Hexadecimal
0xA4D1
Base64
pNE=
One's complement
23,342 (16-bit)
In other bases
ternary (3) 2010212201
quaternary (4) 22103101
quinary (5) 2322233
senary (6) 523201
septenary (7) 234004
nonary (9) 63781
undecimal (11) 29778
duodecimal (12) 20501
tridecimal (13) 16288
tetradecimal (14) 1153b
pentadecimal (15) c77d

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵μβρϟγʹ
Mayan (base 20)
𝋥·𝋥·𝋩·𝋭
Chinese
四萬二千一百九十三
Chinese (financial)
肆萬貳仟壹佰玖拾參
In other modern scripts
Eastern Arabic ٤٢١٩٣ Devanagari ४२१९३ Bengali ৪২১৯৩ Tamil ௪௨௧௯௩ Thai ๔๒๑๙๓ Tibetan ༤༢༡༩༣ Khmer ៤២១៩៣ Lao ໔໒໑໙໓ Burmese ၄၂၁၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 42,193 = 9
e — Euler's number (e)
Digit 42,193 = 3
φ — Golden ratio (φ)
Digit 42,193 = 2
√2 — Pythagoras's (√2)
Digit 42,193 = 2
ln 2 — Natural log of 2
Digit 42,193 = 7
γ — Euler-Mascheroni (γ)
Digit 42,193 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 42,187 (gap of 6)
  • Next prime: 42,197 (gap of 4)

Pair status: cousin with 42197, sexy with 42187.

Unicode codepoint
Lisu Letter Pa
U+A4D1
Other letter (Lo)

UTF-8 encoding: EA 93 91 (3 bytes).

Hex color
#00A4D1
RGB(0, 164, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.209.

Address
0.0.164.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.164.209

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

Position in π

The digit sequence 42193 first appears in π at position 7,604 of the decimal expansion (the 7,604ordinal-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.