3,961,557

3² × 19 × 23167

Starting at 3,961,557, the Collatz iteration reaches 1 after 185 steps. The first transition is 11884672; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 19 × 23167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,023,680

Proper Divisor Sum 2,062,123

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3961541 ← → #3961579

Radix Representation

Decimal	3961557
Binary	1111000111001011010101 (22 bits)
Octal	0o17071325
Hexadecimal	0x3C72D5

Divisor Catalog (12)

1 3 9 19 57 171 23,167 69,501 208,503 440,173 1,320,519 3,961,557

Collatz Trajectory (185 steps to reach 1)

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

3,961,557 11,884,672 5,942,336 2,971,168 1,485,584 742,792 371,396 185,698 92,849 278,548 139,274 69,637 208,912 104,456 52,228 26,114 13,057 39,172 19,586 9,793 29,380 14,690 7,345 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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