1,578,392

2³ × 197299

Starting at 1,578,392, the Collatz iteration reaches 1 after 163 steps. The first transition is 789196; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 197299

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,959,500

Proper Divisor Sum 1,381,108

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1578389 ← → #1578397

Radix Representation

Decimal	1578392
Binary	110000001010110011000 (21 bits)
Octal	0o6012630
Hexadecimal	0x181598

Divisor Catalog (8)

1 2 4 8 197,299 394,598 789,196 1,578,392

Collatz Trajectory (163 steps to reach 1)

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

1,578,392 789,196 394,598 197,299 591,898 295,949 887,848 443,924 221,962 110,981 332,944 166,472 83,236 41,618 20,809 62,428 31,214 15,607 46,822 23,411 70,234 35,117 105,352 52,676 26,338 13,169 39,508 19,754 9,877 29,632 14,816 7,408 3,704 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47

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