3,907,484

2² × 7 × 17 × 8209

3,907,484 factors as 2^2 × 7 × 17 × 8209. Its 24 positive divisors give a proper-divisor sum of 4,368,196, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 8209

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,275,680

Proper Divisor Sum 4,368,196

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3907481 ← → #3907487

Radix Representation

Decimal	3907484
Binary	1110111001111110011100 (22 bits)
Octal	0o16717634
Hexadecimal	0x3B9F9C

Divisor Catalog (24)

Collatz Trajectory (185 steps to reach 1)

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

3,907,484 1,953,742 976,871 2,930,614 1,465,307 4,395,922 2,197,961 6,593,884 3,296,942 1,648,471 4,945,414 2,472,707 7,418,122 3,709,061 11,127,184 5,563,592 2,781,796 1,390,898 695,449 2,086,348 1,043,174 521,587 1,564,762 782,381 2,347,144 1,173,572 586,786 293,393 880,180 440,090 220,045 660,136 330,068 165,034 82,517 247,552 123,776 61,888 30,944 15,472 7,736 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138

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