1,529,165

5 × 11 × 27803

Starting at 1,529,165, the Collatz iteration reaches 1 after 119 steps. The first transition is 4587496; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 27803

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,001,888

Proper Divisor Sum 472,723

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1529153 ← → #1529189

Radix Representation

Decimal	1529165
Binary	101110101010101001101 (21 bits)
Octal	0o5652515
Hexadecimal	0x17554D

Divisor Catalog (8)

1 5 11 55 27,803 139,015 305,833 1,529,165

Collatz Trajectory (119 steps to reach 1)

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

1,529,165 4,587,496 2,293,748 1,146,874 573,437 1,720,312 860,156 430,078 215,039 645,118 322,559 967,678 483,839 1,451,518 725,759 2,177,278 1,088,639 3,265,918 1,632,959 4,898,878 2,449,439 7,348,318 3,674,159 11,022,478 5,511,239 16,533,718 8,266,859 24,800,578 12,400,289 37,200,868 18,600,434 9,300,217 27,900,652 13,950,326 6,975,163 20,925,490 10,462,745 31,388,236 15,694,118 7,847,059 23,541,178 11,770,589 35,311,768 17,655,884 8,827,942 4,413,971 13,241,914 6,620,957 19,862,872 9,931,436 4,965,718 2,482,859 7,448,578 3,724,289 11,172,868 5,586,434 2,793,217 8,379,652 4,189,826 2,094,913

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