435,727

17 × 19² × 71

Starting at 435,727, the Collatz iteration reaches 1 after 94 steps. The first transition is 1307182; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 17 × 19^2 × 71

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 493,776

Proper Divisor Sum 58,049

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #435709 ← → #435731

Radix Representation

Decimal	435727
Binary	1101010011000001111 (19 bits)
Octal	0o1523017
Hexadecimal	0x6A60F

Divisor Catalog (12)

1 17 19 71 323 361 1,207 1,349 6,137 22,933 25,631 435,727

Collatz Trajectory (94 steps to reach 1)

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

435,727 1,307,182 653,591 1,960,774 980,387 2,941,162 1,470,581 4,411,744 2,205,872 1,102,936 551,468 275,734 137,867 413,602 206,801 620,404 310,202 155,101 465,304 232,652 116,326 58,163 174,490 87,245 261,736 130,868 65,434 32,717 98,152 49,076 24,538 12,269 36,808 18,404 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461

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