3,709,172

2² × 349 × 2657

Starting at 3,709,172, the Collatz iteration reaches 1 after 53 steps. The first transition is 1854586; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 349 × 2657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,512,100

Proper Divisor Sum 2,802,928

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3709163 ← → #3709249

Radix Representation

Decimal	3709172
Binary	1110001001100011110100 (22 bits)
Octal	0o16114364
Hexadecimal	0x3898F4

Divisor Catalog (12)

1 2 4 349 698 1,396 2,657 5,314 10,628 927,293 1,854,586 3,709,172

Collatz Trajectory (53 steps to reach 1)

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

3,709,172 1,854,586 927,293 2,781,880 1,390,940 695,470 347,735 1,043,206 521,603 1,564,810 782,405 2,347,216 1,173,608 586,804 293,402 146,701 440,104 220,052 110,026 55,013 165,040 82,520 41,260 20,630 10,315 30,946 15,473 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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