3,609,936

2⁴ × 3² × 11 × 43 × 53

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11 × 43 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 11,490,336

Proper Divisor Sum 7,880,400

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3609913 ← → #3609941

Radix Representation

Decimal	3609936
Binary	1101110001010101010000 (22 bits)
Octal	0o15612520
Hexadecimal	0x371550

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 43 44 48 53 66 72 86 88 99 106 129 132 144 159 172 176 198 212 258 264 318 344 387 396 424 473 477 516 528 583 636 688 774 792 848 946 954 1,032 1,166 1,272 1,419 1,548 1,584 1,749 1,892

Collatz Trajectory (128 steps to reach 1)

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

3,609,936 1,804,968 902,484 451,242 225,621 676,864 338,432 169,216 84,608 42,304 21,152 10,576 5,288 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

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