3,960,764

2² × 41 × 24151

For 3,960,764, the 12 positive divisors have a total of 7,100,688. Removing 3,960,764 leaves 3,139,924, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 41 × 24151

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,100,688

Proper Divisor Sum 3,139,924

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3960757 ← → #3960769

Radix Representation

Decimal	3960764
Binary	1111000110111110111100 (22 bits)
Octal	0o17067674
Hexadecimal	0x3C6FBC

Divisor Catalog (12)

1 2 4 41 82 164 24,151 48,302 96,604 990,191 1,980,382 3,960,764

Collatz Trajectory (123 steps to reach 1)

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

3,960,764 1,980,382 990,191 2,970,574 1,485,287 4,455,862 2,227,931 6,683,794 3,341,897 10,025,692 5,012,846 2,506,423 7,519,270 3,759,635 11,278,906 5,639,453 16,918,360 8,459,180 4,229,590 2,114,795 6,344,386 3,172,193 9,516,580 4,758,290 2,379,145 7,137,436 3,568,718 1,784,359 5,353,078 2,676,539 8,029,618 4,014,809 12,044,428 6,022,214 3,011,107 9,033,322 4,516,661 13,549,984 6,774,992 3,387,496 1,693,748 846,874 423,437 1,270,312 635,156 317,578 158,789 476,368 238,184 119,092 59,546 29,773 89,320 44,660 22,330 11,165 33,496 16,748 8,374 4,187

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