725,522

2 × 7 × 29 × 1787

725,522 factors as 2 × 7 × 29 × 1787. Its 16 positive divisors give a proper-divisor sum of 561,838, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 1787

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,287,360

Proper Divisor Sum 561,838

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #725519 ← → #725531

Radix Representation

Decimal	725522
Binary	10110001001000010010 (20 bits)
Octal	0o2611022
Hexadecimal	0xB1212

Divisor Catalog (16)

1 2 7 14 29 58 203 406 1,787 3,574 12,509 25,018 51,823 103,646 362,761 725,522

Collatz Trajectory (92 steps to reach 1)

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

725,522 362,761 1,088,284 544,142 272,071 816,214 408,107 1,224,322 612,161 1,836,484 918,242 459,121 1,377,364 688,682 344,341 1,033,024 516,512 258,256 129,128 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 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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