728,030

2 × 5 × 47 × 1549

728,030 factors as 2 × 5 × 47 × 1549. Its 16 positive divisors give a proper-divisor sum of 611,170, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 5 × 47 × 1549

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,339,200

Proper Divisor Sum 611,170

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #728027 ← → #728047

Radix Representation

Decimal	728030
Binary	10110001101111011110 (20 bits)
Octal	0o2615736
Hexadecimal	0xB1BDE

Divisor Catalog (16)

1 2 5 10 47 94 235 470 1,549 3,098 7,745 15,490 72,803 145,606 364,015 728,030

Collatz Trajectory (92 steps to reach 1)

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

728,030 364,015 1,092,046 546,023 1,638,070 819,035 2,457,106 1,228,553 3,685,660 1,842,830 921,415 2,764,246 1,382,123 4,146,370 2,073,185 6,219,556 3,109,778 1,554,889 4,664,668 2,332,334 1,166,167 3,498,502 1,749,251 5,247,754 2,623,877 7,871,632 3,935,816 1,967,908 983,954 491,977 1,475,932 737,966 368,983 1,106,950 553,475 1,660,426 830,213 2,490,640 1,245,320 622,660 311,330 155,665 466,996 233,498 116,749 350,248 175,124 87,562 43,781 131,344 65,672 32,836 16,418 8,209 24,628 12,314 6,157 18,472 9,236 4,618

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