1,024,154

2 × 401 × 1277

Starting at 1,024,154, the Collatz iteration reaches 1 after 152 steps. The first transition is 512077; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 401 × 1277

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,541,268

Proper Divisor Sum 517,114

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1024151 ← → #1024159

Radix Representation

Decimal	1024154
Binary	11111010000010011010 (20 bits)
Octal	0o3720232
Hexadecimal	0xFA09A

Divisor Catalog (8)

1 2 401 802 1,277 2,554 512,077 1,024,154

Collatz Trajectory (152 steps to reach 1)

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

1,024,154 512,077 1,536,232 768,116 384,058 192,029 576,088 288,044 144,022 72,011 216,034 108,017 324,052 162,026 81,013 243,040 121,520 60,760 30,380 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182

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