1,020,625

5⁴ × 23 × 71

1,020,625 factors as 5^4 × 23 × 71. Its 20 positive divisors give a proper-divisor sum of 328,943, so this integer is deficient. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 5^4 × 23 × 71

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,349,568

Proper Divisor Sum 328,943

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #1020619 ← → #1020631

Radix Representation

Decimal	1020625
Binary	11111001001011010001 (20 bits)
Octal	0o3711321
Hexadecimal	0xF92D1

Divisor Catalog (20)

1 5 23 25 71 115 125 355 575 625 1,633 1,775 2,875 8,165 8,875 14,375 40,825 44,375 204,125 1,020,625

Collatz Trajectory (64 steps to reach 1)

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

1,020,625 3,061,876 1,530,938 765,469 2,296,408 1,148,204 574,102 287,051 861,154 430,577 1,291,732 645,866 322,933 968,800 484,400 242,200 121,100 60,550 30,275 90,826 45,413 136,240 68,120 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5

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