λ
Sequence Observatory

3,703,647

3 × 47 × 26267
Deficient Odd Composite

Starting at 3,703,647, the Collatz iteration reaches 1 after 84 steps. The first transition is 11110942; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 47 × 26267
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,043,456
Proper Divisor Sum 1,339,809
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3703643 ← → #3703649

Radix Representation

Decimal 3703647
Binary 1110001000001101011111 (22 bits)
Octal 0o16101537
Hexadecimal 0x38835F

Divisor Catalog (8)

1 3 47 141 26,267 78,801 1,234,549 3,703,647

Collatz Trajectory (84 steps to reach 1)

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

3,703,647 11,110,942 5,555,471 16,666,414 8,333,207 24,999,622 12,499,811 37,499,434 18,749,717 56,249,152 28,124,576 14,062,288 7,031,144 3,515,572 1,757,786 878,893 2,636,680 1,318,340 659,170 329,585 988,756 494,378 247,189 741,568 370,784 185,392 92,696 46,348 23,174 11,587 34,762 17,381 52,144 26,072 13,036 6,518 3,259 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653

More profiles

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