3,972,003

3 × 7 × 73 × 2591

3,972,003 factors as 3 × 7 × 73 × 2591. Its 16 positive divisors give a proper-divisor sum of 2,165,853, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 3 × 7 × 73 × 2591

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,137,856

Proper Divisor Sum 2,165,853

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3971993 ← → #3972011

Radix Representation

Decimal	3972003
Binary	1111001001101110100011 (22 bits)
Octal	0o17115643
Hexadecimal	0x3C9BA3

Divisor Catalog (16)

1 3 7 21 73 219 511 1,533 2,591 7,773 18,137 54,411 189,143 567,429 1,324,001 3,972,003

Collatz Trajectory (154 steps to reach 1)

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

3,972,003 11,916,010 5,958,005 17,874,016 8,937,008 4,468,504 2,234,252 1,117,126 558,563 1,675,690 837,845 2,513,536 1,256,768 628,384 314,192 157,096 78,548 39,274 19,637 58,912 29,456 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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