724,342

2 × 71 × 5101

724,342 factors as 2 × 71 × 5101. Its 8 positive divisors give a proper-divisor sum of 377,690, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 71 × 5101

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,102,032

Proper Divisor Sum 377,690

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #724331 ← → #724393

Radix Representation

Decimal	724342
Binary	10110000110101110110 (20 bits)
Octal	0o2606566
Hexadecimal	0xB0D76

Divisor Catalog (8)

1 2 71 142 5,101 10,202 362,171 724,342

Collatz Trajectory (149 steps to reach 1)

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

724,342 362,171 1,086,514 543,257 1,629,772 814,886 407,443 1,222,330 611,165 1,833,496 916,748 458,374 229,187 687,562 343,781 1,031,344 515,672 257,836 128,918 64,459 193,378 96,689 290,068 145,034 72,517 217,552 108,776 54,388 27,194 13,597 40,792 20,396 10,198 5,099 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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