3,107,209

7 × 17 × 26111

Starting at 3,107,209, the Collatz iteration reaches 1 after 195 steps. The first transition is 9321628; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 17 × 26111

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,760,128

Proper Divisor Sum 652,919

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3107183 ← → #3107249

Radix Representation

Decimal	3107209
Binary	1011110110100110001001 (22 bits)
Octal	0o13664611
Hexadecimal	0x2F6989

Divisor Catalog (8)

1 7 17 119 26,111 182,777 443,887 3,107,209

Collatz Trajectory (195 steps to reach 1)

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

3,107,209 9,321,628 4,660,814 2,330,407 6,991,222 3,495,611 10,486,834 5,243,417 15,730,252 7,865,126 3,932,563 11,797,690 5,898,845 17,696,536 8,848,268 4,424,134 2,212,067 6,636,202 3,318,101 9,954,304 4,977,152 2,488,576 1,244,288 622,144 311,072 155,536 77,768 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292

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