3,961,545

3 × 5 × 7 × 29 × 1301

Starting at 3,961,545, the Collatz iteration reaches 1 after 229 steps. The first transition is 11884636; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 29 × 1301

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,499,520

Proper Divisor Sum 3,537,975

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3961541 ← → #3961579

Radix Representation

Decimal	3961545
Binary	1111000111001011001001 (22 bits)
Octal	0o17071311
Hexadecimal	0x3C72C9

Divisor Catalog (32)

1 3 5 7 15 21 29 35 87 105 145 203 435 609 1,015 1,301 3,045 3,903 6,505 9,107 19,515 27,321 37,729 45,535 113,187 136,605 188,645 264,103 565,935 792,309 1,320,515 3,961,545

Collatz Trajectory (229 steps to reach 1)

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

3,961,545 11,884,636 5,942,318 2,971,159 8,913,478 4,456,739 13,370,218 6,685,109 20,055,328 10,027,664 5,013,832 2,506,916 1,253,458 626,729 1,880,188 940,094 470,047 1,410,142 705,071 2,115,214 1,057,607 3,172,822 1,586,411 4,759,234 2,379,617 7,138,852 3,569,426 1,784,713 5,354,140 2,677,070 1,338,535 4,015,606 2,007,803 6,023,410 3,011,705 9,035,116 4,517,558 2,258,779 6,776,338 3,388,169 10,164,508 5,082,254 2,541,127 7,623,382 3,811,691 11,435,074 5,717,537 17,152,612 8,576,306 4,288,153 12,864,460 6,432,230 3,216,115 9,648,346 4,824,173 14,472,520 7,236,260 3,618,130 1,809,065 5,427,196

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