3,973,808

2⁴ × 307 × 809

3,973,808 factors as 2^4 × 307 × 809. Its 20 positive divisors give a proper-divisor sum of 3,760,072, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^4 × 307 × 809

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,733,880

Proper Divisor Sum 3,760,072

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3973807 ← → #3973811

Radix Representation

Decimal	3973808
Binary	1111001010001010110000 (22 bits)
Octal	0o17121260
Hexadecimal	0x3CA2B0

Divisor Catalog (20)

Collatz Trajectory (141 steps to reach 1)

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

3,973,808 1,986,904 993,452 496,726 248,363 745,090 372,545 1,117,636 558,818 279,409 838,228 419,114 209,557 628,672 314,336 157,168 78,584 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701

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