10,609,651

13² × 67 × 937

10,609,651 factors as 13^2 × 67 × 937. Its 12 positive divisors give a proper-divisor sum of 1,062,821, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 13^2 × 67 × 937

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,672,472

Proper Divisor Sum 1,062,821

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #10609637 ← → #10609661

Radix Representation

Decimal	10609651
Binary	101000011110001111110011 (24 bits)
Octal	0o50361763
Hexadecimal	0xA1E3F3

Divisor Catalog (12)

1 13 67 169 871 937 11,323 12,181 62,779 158,353 816,127 10,609,651

Collatz Trajectory (220 steps to reach 1)

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

10,609,651 31,828,954 15,914,477 47,743,432 23,871,716 11,935,858 5,967,929 17,903,788 8,951,894 4,475,947 13,427,842 6,713,921 20,141,764 10,070,882 5,035,441 15,106,324 7,553,162 3,776,581 11,329,744 5,664,872 2,832,436 1,416,218 708,109 2,124,328 1,062,164 531,082 265,541 796,624 398,312 199,156 99,578 49,789 149,368 74,684 37,342 18,671 56,014 28,007 84,022 42,011 126,034 63,017 189,052 94,526 47,263 141,790 70,895 212,686 106,343 319,030 159,515 478,546 239,273 717,820 358,910 179,455 538,366 269,183 807,550 403,775

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