3,652,455

3 × 5 × 37 × 6581

Starting at 3,652,455, the Collatz iteration reaches 1 after 110 steps. The first transition is 10957366; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 6581

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,002,784

Proper Divisor Sum 2,350,329

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3652447 ← → #3652459

Radix Representation

Decimal	3652455
Binary	1101111011101101100111 (22 bits)
Octal	0o15735547
Hexadecimal	0x37BB67

Divisor Catalog (16)

1 3 5 15 37 111 185 555 6,581 19,743 32,905 98,715 243,497 730,491 1,217,485 3,652,455

Collatz Trajectory (110 steps to reach 1)

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

3,652,455 10,957,366 5,478,683 16,436,050 8,218,025 24,654,076 12,327,038 6,163,519 18,490,558 9,245,279 27,735,838 13,867,919 41,603,758 20,801,879 62,405,638 31,202,819 93,608,458 46,804,229 140,412,688 70,206,344 35,103,172 17,551,586 8,775,793 26,327,380 13,163,690 6,581,845 19,745,536 9,872,768 4,936,384 2,468,192 1,234,096 617,048 308,524 154,262 77,131 231,394 115,697 347,092 173,546 86,773 260,320 130,160 65,080 32,540 16,270 8,135 24,406 12,203 36,610 18,305 54,916 27,458 13,729 41,188 20,594 10,297 30,892 15,446 7,723 23,170

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