474,792

2³ × 3 × 73 × 271

474,792 factors as 2^3 × 3 × 73 × 271. Its 32 positive divisors give a proper-divisor sum of 732,888, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 73 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,207,680

Proper Divisor Sum 732,888

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #474787 ← → #474809

Radix Representation

Decimal	474792
Binary	1110011111010101000 (19 bits)
Octal	0o1637250
Hexadecimal	0x73EA8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 73 146 219 271 292 438 542 584 813 876 1,084 1,626 1,752 2,168 3,252 6,504 19,783 39,566 59,349 79,132 118,698 158,264 237,396 474,792

Collatz Trajectory (125 steps to reach 1)

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

474,792 237,396 118,698 59,349 178,048 89,024 44,512 22,256 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019

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