3,692,349

3² × 17 × 24133

3,692,349 factors as 3^2 × 17 × 24133. Its 12 positive divisors give a proper-divisor sum of 1,955,007, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 24133

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,647,356

Proper Divisor Sum 1,955,007

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3692347 ← → #3692357

Radix Representation

Decimal	3692349
Binary	1110000101011100111101 (22 bits)
Octal	0o16053475
Hexadecimal	0x38573D

Divisor Catalog (12)

1 3 9 17 51 153 24,133 72,399 217,197 410,261 1,230,783 3,692,349

Collatz Trajectory (203 steps to reach 1)

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

3,692,349 11,077,048 5,538,524 2,769,262 1,384,631 4,153,894 2,076,947 6,230,842 3,115,421 9,346,264 4,673,132 2,336,566 1,168,283 3,504,850 1,752,425 5,257,276 2,628,638 1,314,319 3,942,958 1,971,479 5,914,438 2,957,219 8,871,658 4,435,829 13,307,488 6,653,744 3,326,872 1,663,436 831,718 415,859 1,247,578 623,789 1,871,368 935,684 467,842 233,921 701,764 350,882 175,441 526,324 263,162 131,581 394,744 197,372 98,686 49,343 148,030 74,015 222,046 111,023 333,070 166,535 499,606 249,803 749,410 374,705 1,124,116 562,058 281,029 843,088

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