3,996,152

2³ × 499519

Starting at 3,996,152, the Collatz iteration reaches 1 after 115 steps. The first transition is 1998076; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 499519

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,492,800

Proper Divisor Sum 3,496,648

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3996151 ← → #3996193

Radix Representation

Decimal	3996152
Binary	1111001111100111111000 (22 bits)
Octal	0o17174770
Hexadecimal	0x3CF9F8

Divisor Catalog (8)

1 2 4 8 499,519 999,038 1,998,076 3,996,152

Collatz Trajectory (115 steps to reach 1)

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

3,996,152 1,998,076 999,038 499,519 1,498,558 749,279 2,247,838 1,123,919 3,371,758 1,685,879 5,057,638 2,528,819 7,586,458 3,793,229 11,379,688 5,689,844 2,844,922 1,422,461 4,267,384 2,133,692 1,066,846 533,423 1,600,270 800,135 2,400,406 1,200,203 3,600,610 1,800,305 5,400,916 2,700,458 1,350,229 4,050,688 2,025,344 1,012,672 506,336 253,168 126,584 63,292 31,646 15,823 47,470 23,735 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348

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