437,648

2⁴ × 17 × 1609

437,648 factors as 2^4 × 17 × 1609. Its 20 positive divisors give a proper-divisor sum of 460,732, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 1609

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 898,380

Proper Divisor Sum 460,732

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #437641 ← → #437651

Radix Representation

Decimal	437648
Binary	1101010110110010000 (19 bits)
Octal	0o1526620
Hexadecimal	0x6AD90

Divisor Catalog (20)

Collatz Trajectory (63 steps to reach 1)

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

437,648 218,824 109,412 54,706 27,353 82,060 41,030 20,515 61,546 30,773 92,320 46,160 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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