1,005,625

5⁴ × 1609

1,005,625 factors as 5^4 × 1609. Its 10 positive divisors give a proper-divisor sum of 251,785, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 5^4 × 1609

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,257,410

Proper Divisor Sum 251,785

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1005619 ← → #1005637

Radix Representation

Decimal	1005625
Binary	11110101100000111001 (20 bits)
Octal	0o3654071
Hexadecimal	0xF5839

Divisor Catalog (10)

1 5 25 125 625 1,609 8,045 40,225 201,125 1,005,625

Collatz Trajectory (90 steps to reach 1)

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

1,005,625 3,016,876 1,508,438 754,219 2,262,658 1,131,329 3,393,988 1,696,994 848,497 2,545,492 1,272,746 636,373 1,909,120 954,560 477,280 238,640 119,320 59,660 29,830 14,915 44,746 22,373 67,120 33,560 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179

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