1,024,288

2⁵ × 32009

1,024,288 factors as 2^5 × 32009. Its 12 positive divisors give a proper-divisor sum of 992,342, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^5 × 32009

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,016,630

Proper Divisor Sum 992,342

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1024277 ← → #1024307

Radix Representation

Decimal	1024288
Binary	11111010000100100000 (20 bits)
Octal	0o3720440
Hexadecimal	0xFA120

Divisor Catalog (12)

1 2 4 8 16 32 32,009 64,018 128,036 256,072 512,144 1,024,288

Collatz Trajectory (90 steps to reach 1)

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

1,024,288 512,144 256,072 128,036 64,018 32,009 96,028 48,014 24,007 72,022 36,011 108,034 54,017 162,052 81,026 40,513 121,540 60,770 30,385 91,156 45,578 22,789 68,368 34,184 17,092 8,546 4,273 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093

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