5,967,315

3² × 5 × 132607

5,967,315 factors as 3^2 × 5 × 132607. Its 12 positive divisors give a proper-divisor sum of 4,376,109, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 132607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,343,424

Proper Divisor Sum 4,376,109

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5967293 ← → #5967317

Radix Representation

Decimal	5967315
Binary	10110110000110111010011 (23 bits)
Octal	0o26606723
Hexadecimal	0x5B0DD3

Divisor Catalog (12)

1 3 5 9 15 45 132,607 397,821 663,035 1,193,463 1,989,105 5,967,315

Collatz Trajectory (121 steps to reach 1)

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

5,967,315 17,901,946 8,950,973 26,852,920 13,426,460 6,713,230 3,356,615 10,069,846 5,034,923 15,104,770 7,552,385 22,657,156 11,328,578 5,664,289 16,992,868 8,496,434 4,248,217 12,744,652 6,372,326 3,186,163 9,558,490 4,779,245 14,337,736 7,168,868 3,584,434 1,792,217 5,376,652 2,688,326 1,344,163 4,032,490 2,016,245 6,048,736 3,024,368 1,512,184 756,092 378,046 189,023 567,070 283,535 850,606 425,303 1,275,910 637,955 1,913,866 956,933 2,870,800 1,435,400 717,700 358,850 179,425 538,276 269,138 134,569 403,708 201,854 100,927 302,782 151,391 454,174 227,087

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