3,988,257

3 × 7² × 13 × 2087

3,988,257 is odd and not a perfect square. Its factorization is 3 × 7^2 × 13 × 2087 and its 24 divisors sum to 6,664,896.

Prime Factor Structure

Factorization String 3 × 7^2 × 13 × 2087

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,664,896

Proper Divisor Sum 2,676,639

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3988249 ← → #3988273

Radix Representation

Decimal	3988257
Binary	1111001101101100100001 (22 bits)
Octal	0o17155441
Hexadecimal	0x3CDB21

Divisor Catalog (24)

1 3 7 13 21 39 49 91 147 273 637 1,911 2,087 6,261 14,609 27,131 43,827 81,393 102,263 189,917 306,789 569,751 1,329,419 3,988,257

Collatz Trajectory (260 steps to reach 1)

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

3,988,257 11,964,772 5,982,386 2,991,193 8,973,580 4,486,790 2,243,395 6,730,186 3,365,093 10,095,280 5,047,640 2,523,820 1,261,910 630,955 1,892,866 946,433 2,839,300 1,419,650 709,825 2,129,476 1,064,738 532,369 1,597,108 798,554 399,277 1,197,832 598,916 299,458 149,729 449,188 224,594 112,297 336,892 168,446 84,223 252,670 126,335 379,006 189,503 568,510 284,255 852,766 426,383 1,279,150 639,575 1,918,726 959,363 2,878,090 1,439,045 4,317,136 2,158,568 1,079,284 539,642 269,821 809,464 404,732 202,366 101,183 303,550 151,775

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