1,028,992

2⁷ × 8039

1,028,992 factors as 2^7 × 8039. Its 16 positive divisors give a proper-divisor sum of 1,021,208, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^7 × 8039

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,050,200

Proper Divisor Sum 1,021,208

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1028981 ← → #1028999

Radix Representation

Decimal	1028992
Binary	11111011001110000000 (20 bits)
Octal	0o3731600
Hexadecimal	0xFB380

Divisor Catalog (16)

1 2 4 8 16 32 64 128 8,039 16,078 32,156 64,312 128,624 257,248 514,496 1,028,992

Collatz Trajectory (196 steps to reach 1)

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

1,028,992 514,496 257,248 128,624 64,312 32,156 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184

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