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3,974,648

23 × 19 × 79 × 331
Abundant Even Composite

3,974,648 factors as 2^3 × 19 × 79 × 331. Its 32 positive divisors give a proper-divisor sum of 3,993,352, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 79 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,968,000
Proper Divisor Sum 3,993,352
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3974623 ← → #3974657

Radix Representation

Decimal 3974648
Binary 1111001010010111111000 (22 bits)
Octal 0o17122770
Hexadecimal 0x3CA5F8

Divisor Catalog (32)

1 2 4 8 19 38 76 79 152 158 316 331 632 662 1,324 1,501 2,648 3,002 6,004 6,289 12,008 12,578 25,156 26,149 50,312 52,298 104,596 209,192 496,831 993,662 1,987,324 3,974,648

Collatz Trajectory (141 steps to reach 1)

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

3,974,648 1,987,324 993,662 496,831 1,490,494 745,247 2,235,742 1,117,871 3,353,614 1,676,807 5,030,422 2,515,211 7,545,634 3,772,817 11,318,452 5,659,226 2,829,613 8,488,840 4,244,420 2,122,210 1,061,105 3,183,316 1,591,658 795,829 2,387,488 1,193,744 596,872 298,436 149,218 74,609 223,828 111,914 55,957 167,872 83,936 41,968 20,984 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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