5,801,319

3² × 593 × 1087

5,801,319 factors as 3^2 × 593 × 1087. Its 12 positive divisors give a proper-divisor sum of 2,600,217, so this integer is deficient. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 3^2 × 593 × 1087

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,401,536

Proper Divisor Sum 2,600,217

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5801317 ← → #5801347

Radix Representation

Decimal	5801319
Binary	10110001000010101100111 (23 bits)
Octal	0o26102547
Hexadecimal	0x588567

Divisor Catalog (12)

1 3 9 593 1,087 1,779 3,261 5,337 9,783 644,591 1,933,773 5,801,319

Collatz Trajectory (276 steps to reach 1)

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

5,801,319 17,403,958 8,701,979 26,105,938 13,052,969 39,158,908 19,579,454 9,789,727 29,369,182 14,684,591 44,053,774 22,026,887 66,080,662 33,040,331 99,120,994 49,560,497 148,681,492 74,340,746 37,170,373 111,511,120 55,755,560 27,877,780 13,938,890 6,969,445 20,908,336 10,454,168 5,227,084 2,613,542 1,306,771 3,920,314 1,960,157 5,880,472 2,940,236 1,470,118 735,059 2,205,178 1,102,589 3,307,768 1,653,884 826,942 413,471 1,240,414 620,207 1,860,622 930,311 2,790,934 1,395,467 4,186,402 2,093,201 6,279,604 3,139,802 1,569,901 4,709,704 2,354,852 1,177,426 588,713 1,766,140 883,070 441,535 1,324,606

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