3,683,645

5 × 7 × 17 × 41 × 151

Starting at 3,683,645, the Collatz iteration reaches 1 after 128 steps. The first transition is 11050936; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 17 × 41 × 151

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,515,776

Proper Divisor Sum 1,832,131

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3683627 ← → #3683651

Radix Representation

Decimal	3683645
Binary	1110000011010100111101 (22 bits)
Octal	0o16032475
Hexadecimal	0x38353D

Divisor Catalog (32)

1 5 7 17 35 41 85 119 151 205 287 595 697 755 1,057 1,435 2,567 3,485 4,879 5,285 6,191 12,835 17,969 24,395 30,955 43,337 89,845 105,247 216,685 526,235 736,729 3,683,645

Collatz Trajectory (128 steps to reach 1)

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

3,683,645 11,050,936 5,525,468 2,762,734 1,381,367 4,144,102 2,072,051 6,216,154 3,108,077 9,324,232 4,662,116 2,331,058 1,165,529 3,496,588 1,748,294 874,147 2,622,442 1,311,221 3,933,664 1,966,832 983,416 491,708 245,854 122,927 368,782 184,391 553,174 276,587 829,762 414,881 1,244,644 622,322 311,161 933,484 466,742 233,371 700,114 350,057 1,050,172 525,086 262,543 787,630 393,815 1,181,446 590,723 1,772,170 886,085 2,658,256 1,329,128 664,564 332,282 166,141 498,424 249,212 124,606 62,303 186,910 93,455 280,366 140,183

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