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472,193

472,193 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

472,193 (four hundred seventy-two thousand one hundred ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x73481.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,512
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
391,274
Square (n²)
222,966,229,249
Cube (n³)
105,283,092,687,773,057
Divisor count
2
σ(n) — sum of divisors
472,194
φ(n) — Euler's totient
472,192

Primality

472,193 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 472193
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 472,193)
1 × 472193
First multiples
472,193 · 944,386 (double) · 1,416,579 · 1,888,772 · 2,360,965 · 2,833,158 · 3,305,351 · 3,777,544 · 4,249,737 · 4,721,930

Sums & aliquot sequence

As a sum of two squares: 217² + 652²
As consecutive integers: 236,096 + 236,097

Continued fraction of √n

√472,193 = [687; (6, 7, 2, 2, 1, 8, 3, 33, 5, 44, 7, 2, 4, 5, 1, 2, 13, 1, 4, 2, 3, 1, 1, 5, …)]

Representations

In words
four hundred seventy-two thousand one hundred ninety-three
Ordinal
472193rd
Binary
1110011010010000001
Octal
1632201
Hexadecimal
0x73481
Base64
BzSB
One's complement
4,294,495,102 (32-bit)
Scientific notation
4.72193 × 10⁵
As a duration
472,193 s = 5 days, 11 hours, 9 minutes, 53 seconds
In other bases
ternary (3) 212222201122
quaternary (4) 1303102001
quinary (5) 110102233
senary (6) 14042025
septenary (7) 4004441
nonary (9) 788648
undecimal (11) 2a2847
duodecimal (12) 1a9315
tridecimal (13) 136c07
tetradecimal (14) c4121
pentadecimal (15) 94d98

As an angle

472,193° = 1,311 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υοβρϟγʹ
Chinese
四十七萬二千一百九十三
Chinese (financial)
肆拾柒萬貳仟壹佰玖拾參
In other modern scripts
Eastern Arabic ٤٧٢١٩٣ Devanagari ४७२१९३ Bengali ৪৭২১৯৩ Tamil ௪௭௨௧௯௩ Thai ๔๗๒๑๙๓ Tibetan ༤༧༢༡༩༣ Khmer ៤៧២១៩៣ Lao ໔໗໒໑໙໓ Burmese ၄၇၂၁၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 472189.

Hex color
#073481
RGB(7, 52, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.129.

Address
0.7.52.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.52.129

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 472,193 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.