4,395,735

3³ × 5 × 32561

Starting at 4,395,735, the Collatz iteration reaches 1 after 123 steps. The first transition is 13187206; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 32561

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,814,880

Proper Divisor Sum 3,419,145

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4395719 ← → #4395739

Radix Representation

Decimal	4395735
Binary	10000110001001011010111 (23 bits)
Octal	0o20611327
Hexadecimal	0x4312D7

Divisor Catalog (16)

1 3 5 9 15 27 45 135 32,561 97,683 162,805 293,049 488,415 879,147 1,465,245 4,395,735

Collatz Trajectory (123 steps to reach 1)

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

4,395,735 13,187,206 6,593,603 19,780,810 9,890,405 29,671,216 14,835,608 7,417,804 3,708,902 1,854,451 5,563,354 2,781,677 8,345,032 4,172,516 2,086,258 1,043,129 3,129,388 1,564,694 782,347 2,347,042 1,173,521 3,520,564 1,760,282 880,141 2,640,424 1,320,212 660,106 330,053 990,160 495,080 247,540 123,770 61,885 185,656 92,828 46,414 23,207 69,622 34,811 104,434 52,217 156,652 78,326 39,163 117,490 58,745 176,236 88,118 44,059 132,178 66,089 198,268 99,134 49,567 148,702 74,351 223,054 111,527 334,582 167,291

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