474,048

2⁶ × 3² × 823

474,048 factors as 2^6 × 3^2 × 823. Its 42 positive divisors give a proper-divisor sum of 886,376, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 823

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 1,360,424

Proper Divisor Sum 886,376

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #474043 ← → #474049

Radix Representation

Decimal	474048
Binary	1110011101111000000 (19 bits)
Octal	0o1635700
Hexadecimal	0x73BC0

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 823 1,646 2,469 3,292 4,938 6,584 7,407 9,876 13,168 14,814 19,752 26,336 29,628 39,504 52,672 59,256 79,008 118,512 158,016 237,024 474,048

Collatz Trajectory (63 steps to reach 1)

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

474,048 237,024 118,512 59,256 29,628 14,814 7,407 22,222 11,111 33,334 16,667 50,002 25,001 75,004 37,502 18,751 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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