3,315,082

2 × 19 × 23 × 3793

Starting at 3,315,082, the Collatz iteration reaches 1 after 71 steps. The first transition is 1657541; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 23 × 3793

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,463,360

Proper Divisor Sum 2,148,278

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3315079 ← → #3315107

Radix Representation

Decimal	3315082
Binary	1100101001010110001010 (22 bits)
Octal	0o14512612
Hexadecimal	0x32958A

Divisor Catalog (16)

1 2 19 23 38 46 437 874 3,793 7,586 72,067 87,239 144,134 174,478 1,657,541 3,315,082

Collatz Trajectory (71 steps to reach 1)

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

3,315,082 1,657,541 4,972,624 2,486,312 1,243,156 621,578 310,789 932,368 466,184 233,092 116,546 58,273 174,820 87,410 43,705 131,116 65,558 32,779 98,338 49,169 147,508 73,754 36,877 110,632 55,316 27,658 13,829 41,488 20,744 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17

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