4,093,349

13² × 53 × 457

4,093,349 factors as 13^2 × 53 × 457. Its 12 positive divisors give a proper-divisor sum of 432,607, so this integer is deficient. The Collatz stopping time is 304 steps.

Prime Factor Structure

Factorization String 13^2 × 53 × 457

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,525,956

Proper Divisor Sum 432,607

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4093343 ← → #4093351

Radix Representation

Decimal	4093349
Binary	1111100111010110100101 (22 bits)
Octal	0o17472645
Hexadecimal	0x3E75A5

Divisor Catalog (12)

1 13 53 169 457 689 5,941 8,957 24,221 77,233 314,873 4,093,349

Collatz Trajectory (304 steps to reach 1)

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

4,093,349 12,280,048 6,140,024 3,070,012 1,535,006 767,503 2,302,510 1,151,255 3,453,766 1,726,883 5,180,650 2,590,325 7,770,976 3,885,488 1,942,744 971,372 485,686 242,843 728,530 364,265 1,092,796 546,398 273,199 819,598 409,799 1,229,398 614,699 1,844,098 922,049 2,766,148 1,383,074 691,537 2,074,612 1,037,306 518,653 1,555,960 777,980 388,990 194,495 583,486 291,743 875,230 437,615 1,312,846 656,423 1,969,270 984,635 2,953,906 1,476,953 4,430,860 2,215,430 1,107,715 3,323,146 1,661,573 4,984,720 2,492,360 1,246,180 623,090 311,545 934,636

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