3,961,908

2² × 3² × 167 × 659

Starting at 3,961,908, the Collatz iteration reaches 1 after 185 steps. The first transition is 1980954; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 167 × 659

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 10,090,080

Proper Divisor Sum 6,128,172

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3961907 ← → #3961933

Radix Representation

Decimal	3961908
Binary	1111000111010000110100 (22 bits)
Octal	0o17072064
Hexadecimal	0x3C7434

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 167 334 501 659 668 1,002 1,318 1,503 1,977 2,004 2,636 3,006 3,954 5,931 6,012 7,908 11,862 23,724 110,053 220,106 330,159 440,212 660,318 990,477 1,320,636 1,980,954 3,961,908

Collatz Trajectory (185 steps to reach 1)

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

3,961,908 1,980,954 990,477 2,971,432 1,485,716 742,858 371,429 1,114,288 557,144 278,572 139,286 69,643 208,930 104,465 313,396 156,698 78,349 235,048 117,524 58,762 29,381 88,144 44,072 22,036 11,018 5,509 16,528 8,264 4,132 2,066 1,033 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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