3,966,937

13² × 23473

3,966,937 factors as 13^2 × 23473. Its 6 positive divisors give a proper-divisor sum of 328,805, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 13^2 × 23473

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,295,742

Proper Divisor Sum 328,805

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #3966929 ← → #3966961

Radix Representation

Decimal	3966937
Binary	1111001000011111011001 (22 bits)
Octal	0o17103731
Hexadecimal	0x3C87D9

Divisor Catalog (6)

1 13 169 23,473 305,149 3,966,937

Collatz Trajectory (123 steps to reach 1)

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

3,966,937 11,900,812 5,950,406 2,975,203 8,925,610 4,462,805 13,388,416 6,694,208 3,347,104 1,673,552 836,776 418,388 209,194 104,597 313,792 156,896 78,448 39,224 19,612 9,806 4,903 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196

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