3,736,356

2² × 3 × 13 × 43 × 557

Starting at 3,736,356, the Collatz iteration reaches 1 after 53 steps. The first transition is 1868178; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 43 × 557

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,624,384

Proper Divisor Sum 5,888,028

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3736351 ← → #3736367

Radix Representation

Decimal	3736356
Binary	1110010000001100100100 (22 bits)
Octal	0o16201444
Hexadecimal	0x390324

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 557 559 1,114 1,118 1,671 1,677 2,228 2,236 3,342 3,354 6,684 6,708 7,241 14,482 21,723 23,951 28,964 43,446 47,902 71,853 86,892 95,804 143,706 287,412 311,363 622,726 934,089 1,245,452 1,868,178 3,736,356

Collatz Trajectory (53 steps to reach 1)

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

3,736,356 1,868,178 934,089 2,802,268 1,401,134 700,567 2,101,702 1,050,851 3,152,554 1,576,277 4,728,832 2,364,416 1,182,208 591,104 295,552 147,776 73,888 36,944 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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