742,793

541 × 1373

Starting at 742,793, the Collatz iteration reaches 1 after 317 steps. The first transition is 2228380; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 541 × 1373

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 744,708

Proper Divisor Sum 1,915

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #742789 ← → #742801

Radix Representation

Decimal	742793
Binary	10110101010110001001 (20 bits)
Octal	0o2652611
Hexadecimal	0xB5589

Divisor Catalog (4)

1 541 1,373 742,793

Collatz Trajectory (317 steps to reach 1)

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

742,793 2,228,380 1,114,190 557,095 1,671,286 835,643 2,506,930 1,253,465 3,760,396 1,880,198 940,099 2,820,298 1,410,149 4,230,448 2,115,224 1,057,612 528,806 264,403 793,210 396,605 1,189,816 594,908 297,454 148,727 446,182 223,091 669,274 334,637 1,003,912 501,956 250,978 125,489 376,468 188,234 94,117 282,352 141,176 70,588 35,294 17,647 52,942 26,471 79,414 39,707 119,122 59,561 178,684 89,342 44,671 134,014 67,007 201,022 100,511 301,534 150,767 452,302 226,151 678,454 339,227 1,017,682

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