7,988,725

5² × 17 × 18797

7,988,725 factors as 5^2 × 17 × 18797. Its 12 positive divisors give a proper-divisor sum of 2,500,559, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 5^2 × 17 × 18797

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,489,284

Proper Divisor Sum 2,500,559

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7988723 ← → #7988741

Radix Representation

Decimal	7988725
Binary	11110011110010111110101 (23 bits)
Octal	0o36362765
Hexadecimal	0x79E5F5

Divisor Catalog (12)

1 5 17 25 85 425 18,797 93,985 319,549 469,925 1,597,745 7,988,725

Collatz Trajectory (155 steps to reach 1)

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

7,988,725 23,966,176 11,983,088 5,991,544 2,995,772 1,497,886 748,943 2,246,830 1,123,415 3,370,246 1,685,123 5,055,370 2,527,685 7,583,056 3,791,528 1,895,764 947,882 473,941 1,421,824 710,912 355,456 177,728 88,864 44,432 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242

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