1,024,750

2 × 5³ × 4099

1,024,750 factors as 2 × 5^3 × 4099. Its 16 positive divisors give a proper-divisor sum of 894,050, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 4099

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,918,800

Proper Divisor Sum 894,050

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1024729 ← → #1024757

Radix Representation

Decimal	1024750
Binary	11111010001011101110 (20 bits)
Octal	0o3721356
Hexadecimal	0xFA2EE

Divisor Catalog (16)

1 2 5 10 25 50 125 250 4,099 8,198 20,495 40,990 102,475 204,950 512,375 1,024,750

Collatz Trajectory (108 steps to reach 1)

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

1,024,750 512,375 1,537,126 768,563 2,305,690 1,152,845 3,458,536 1,729,268 864,634 432,317 1,296,952 648,476 324,238 162,119 486,358 243,179 729,538 364,769 1,094,308 547,154 273,577 820,732 410,366 205,183 615,550 307,775 923,326 461,663 1,384,990 692,495 2,077,486 1,038,743 3,116,230 1,558,115 4,674,346 2,337,173 7,011,520 3,505,760 1,752,880 876,440 438,220 219,110 109,555 328,666 164,333 493,000 246,500 123,250 61,625 184,876 92,438 46,219 138,658 69,329 207,988 103,994 51,997 155,992 77,996 38,998

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