3,096,106

2 × 13 × 193 × 617

Starting at 3,096,106, the Collatz iteration reaches 1 after 102 steps. The first transition is 1548053; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 193 × 617

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,035,464

Proper Divisor Sum 1,939,358

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3096103 ← → #3096109

Radix Representation

Decimal	3096106
Binary	1011110011111000101010 (22 bits)
Octal	0o13637052
Hexadecimal	0x2F3E2A

Divisor Catalog (16)

1 2 13 26 193 386 617 1,234 2,509 5,018 8,021 16,042 119,081 238,162 1,548,053 3,096,106

Collatz Trajectory (102 steps to reach 1)

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

3,096,106 1,548,053 4,644,160 2,322,080 1,161,040 580,520 290,260 145,130 72,565 217,696 108,848 54,424 27,212 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682

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