13,295,971

13 × 47² × 463

13,295,971 factors as 13 × 47^2 × 463. Its 12 positive divisors give a proper-divisor sum of 1,365,501, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 13 × 47^2 × 463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,661,472

Proper Divisor Sum 1,365,501

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #13295911 ← → #13295981

Radix Representation

Decimal	13295971
Binary	110010101110000101100011 (24 bits)
Octal	0o62560543
Hexadecimal	0xCAE163

Divisor Catalog (12)

1 13 47 463 611 2,209 6,019 21,761 28,717 282,893 1,022,767 13,295,971

Collatz Trajectory (179 steps to reach 1)

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

13,295,971 39,887,914 19,943,957 59,831,872 29,915,936 14,957,968 7,478,984 3,739,492 1,869,746 934,873 2,804,620 1,402,310 701,155 2,103,466 1,051,733 3,155,200 1,577,600 788,800 394,400 197,200 98,600 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348

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