724,407

3 × 241469

Starting at 724,407, the Collatz iteration reaches 1 after 149 steps. The first transition is 2173222; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 241469

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 965,880

Proper Divisor Sum 241,473

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #724403 ← → #724433

Radix Representation

Decimal	724407
Binary	10110000110110110111 (20 bits)
Octal	0o2606667
Hexadecimal	0xB0DB7

Divisor Catalog (4)

1 3 241,469 724,407

Collatz Trajectory (149 steps to reach 1)

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

724,407 2,173,222 1,086,611 3,259,834 1,629,917 4,889,752 2,444,876 1,222,438 611,219 1,833,658 916,829 2,750,488 1,375,244 687,622 343,811 1,031,434 515,717 1,547,152 773,576 386,788 193,394 96,697 290,092 145,046 72,523 217,570 108,785 326,356 163,178 81,589 244,768 122,384 61,192 30,596 15,298 7,649 22,948 11,474 5,737 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580

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