3,920,032

2⁵ × 122501

Starting at 3,920,032, the Collatz iteration reaches 1 after 92 steps. The first transition is 1960016; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 122501

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,717,626

Proper Divisor Sum 3,797,594

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3920029 ← → #3920057

Radix Representation

Decimal	3920032
Binary	1110111101000010100000 (22 bits)
Octal	0o16750240
Hexadecimal	0x3BD0A0

Divisor Catalog (12)

1 2 4 8 16 32 122,501 245,002 490,004 980,008 1,960,016 3,920,032

Collatz Trajectory (92 steps to reach 1)

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

3,920,032 1,960,016 980,008 490,004 245,002 122,501 367,504 183,752 91,876 45,938 22,969 68,908 34,454 17,227 51,682 25,841 77,524 38,762 19,381 58,144 29,072 14,536 7,268 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692

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