749,241

3² × 17 × 59 × 83

Starting at 749,241, the Collatz iteration reaches 1 after 110 steps. The first transition is 2247724; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 59 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,179,360

Proper Divisor Sum 430,119

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #749237 ← → #749249

Radix Representation

Decimal	749241
Binary	10110110111010111001 (20 bits)
Octal	0o2667271
Hexadecimal	0xB6EB9

Divisor Catalog (24)

1 3 9 17 51 59 83 153 177 249 531 747 1,003 1,411 3,009 4,233 4,897 9,027 12,699 14,691 44,073 83,249 249,747 749,241

Collatz Trajectory (110 steps to reach 1)

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

749,241 2,247,724 1,123,862 561,931 1,685,794 842,897 2,528,692 1,264,346 632,173 1,896,520 948,260 474,130 237,065 711,196 355,598 177,799 533,398 266,699 800,098 400,049 1,200,148 600,074 300,037 900,112 450,056 225,028 112,514 56,257 168,772 84,386 42,193 126,580 63,290 31,645 94,936 47,468 23,734 11,867 35,602 17,801 53,404 26,702 13,351 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753

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