725,784

2³ × 3 × 30241

725,784 factors as 2^3 × 3 × 30241. Its 16 positive divisors give a proper-divisor sum of 1,088,736, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 30241

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,814,520

Proper Divisor Sum 1,088,736

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #725749 ← → #725789

Radix Representation

Decimal	725784
Binary	10110001001100011000 (20 bits)
Octal	0o2611430
Hexadecimal	0xB1318

Divisor Catalog (16)

1 2 3 4 6 8 12 24 30,241 60,482 90,723 120,964 181,446 241,928 362,892 725,784

Collatz Trajectory (92 steps to reach 1)

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

725,784 362,892 181,446 90,723 272,170 136,085 408,256 204,128 102,064 51,032 25,516 12,758 6,379 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769

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