1,025,144

2³ × 127 × 1009

Starting at 1,025,144, the Collatz iteration reaches 1 after 77 steps. The first transition is 512572; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 127 × 1009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,939,200

Proper Divisor Sum 914,056

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1025137 ← → #1025147

Radix Representation

Decimal	1025144
Binary	11111010010001111000 (20 bits)
Octal	0o3722170
Hexadecimal	0xFA478

Divisor Catalog (16)

1 2 4 8 127 254 508 1,009 1,016 2,018 4,036 8,072 128,143 256,286 512,572 1,025,144

Collatz Trajectory (77 steps to reach 1)

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

1,025,144 512,572 256,286 128,143 384,430 192,215 576,646 288,323 864,970 432,485 1,297,456 648,728 324,364 162,182 81,091 243,274 121,637 364,912 182,456 91,228 45,614 22,807 68,422 34,211 102,634 51,317 153,952 76,976 38,488 19,244 9,622 4,811 14,434 7,217 21,652 10,826 5,413 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181

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