3,974,764

2² × 397 × 2503

3,974,764 factors as 2^2 × 397 × 2503. Its 12 positive divisors give a proper-divisor sum of 3,001,380, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 397 × 2503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,976,144

Proper Divisor Sum 3,001,380

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3974759 ← → #3974779

Radix Representation

Decimal	3974764
Binary	1111001010011001101100 (22 bits)
Octal	0o17123154
Hexadecimal	0x3CA66C

Divisor Catalog (12)

1 2 4 397 794 1,588 2,503 5,006 10,012 993,691 1,987,382 3,974,764

Collatz Trajectory (123 steps to reach 1)

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

3,974,764 1,987,382 993,691 2,981,074 1,490,537 4,471,612 2,235,806 1,117,903 3,353,710 1,676,855 5,030,566 2,515,283 7,545,850 3,772,925 11,318,776 5,659,388 2,829,694 1,414,847 4,244,542 2,122,271 6,366,814 3,183,407 9,550,222 4,775,111 14,325,334 7,162,667 21,488,002 10,744,001 32,232,004 16,116,002 8,058,001 24,174,004 12,087,002 6,043,501 18,130,504 9,065,252 4,532,626 2,266,313 6,798,940 3,399,470 1,699,735 5,099,206 2,549,603 7,648,810 3,824,405 11,473,216 5,736,608 2,868,304 1,434,152 717,076 358,538 179,269 537,808 268,904 134,452 67,226 33,613 100,840 50,420 25,210

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