9,628,178

2 × 7 × 197 × 3491

Starting at 9,628,178, the Collatz iteration reaches 1 after 93 steps. The first transition is 4814089; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 197 × 3491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,593,984

Proper Divisor Sum 6,965,806

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9628169 ← → #9628187

Radix Representation

Decimal	9628178
Binary	100100101110101000010010 (24 bits)
Octal	0o44565022
Hexadecimal	0x92EA12

Divisor Catalog (16)

1 2 7 14 197 394 1,379 2,758 3,491 6,982 24,437 48,874 687,727 1,375,454 4,814,089 9,628,178

Collatz Trajectory (93 steps to reach 1)

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

9,628,178 4,814,089 14,442,268 7,221,134 3,610,567 10,831,702 5,415,851 16,247,554 8,123,777 24,371,332 12,185,666 6,092,833 18,278,500 9,139,250 4,569,625 13,708,876 6,854,438 3,427,219 10,281,658 5,140,829 15,422,488 7,711,244 3,855,622 1,927,811 5,783,434 2,891,717 8,675,152 4,337,576 2,168,788 1,084,394 542,197 1,626,592 813,296 406,648 203,324 101,662 50,831 152,494 76,247 228,742 114,371 343,114 171,557 514,672 257,336 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069

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