473,396

2² × 7 × 11 × 29 × 53

473,396 has the prime decomposition 2^2 × 7 × 11 × 29 × 53. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 29 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,088,640

Proper Divisor Sum 615,244

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #473383 ← → #473411

Radix Representation

Decimal	473396
Binary	1110011100100110100 (19 bits)
Octal	0o1634464
Hexadecimal	0x73934

Divisor Catalog (48)

1 2 4 7 11 14 22 28 29 44 53 58 77 106 116 154 203 212 308 319 371 406 583 638 742 812 1,166 1,276 1,484 1,537 2,233 2,332 3,074 4,081 4,466 6,148 8,162 8,932 10,759 16,324 16,907 21,518 33,814 43,036 67,628 118,349 236,698 473,396

Collatz Trajectory (63 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

473,396 236,698 118,349 355,048 177,524 88,762 44,381 133,144 66,572 33,286 16,643 49,930 24,965 74,896 37,448 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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