1,528,808

2³ × 41 × 59 × 79

Starting at 1,528,808, the Collatz iteration reaches 1 after 106 steps. The first transition is 764404; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 41 × 59 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,024,000

Proper Divisor Sum 1,495,192

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1528799 ← → #1528811

Radix Representation

Decimal	1528808
Binary	101110101001111101000 (21 bits)
Octal	0o5651750
Hexadecimal	0x1753E8

Divisor Catalog (32)

1 2 4 8 41 59 79 82 118 158 164 236 316 328 472 632 2,419 3,239 4,661 4,838 6,478 9,322 9,676 12,956 18,644 19,352 25,912 37,288 191,101 382,202 764,404 1,528,808

Collatz Trajectory (106 steps to reach 1)

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

1,528,808 764,404 382,202 191,101 573,304 286,652 143,326 71,663 214,990 107,495 322,486 161,243 483,730 241,865 725,596 362,798 181,399 544,198 272,099 816,298 408,149 1,224,448 612,224 306,112 153,056 76,528 38,264 19,132 9,566 4,783 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706

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