13,069,775

5² × 41² × 311

13,069,775 factors as 5^2 × 41^2 × 311. Its 18 positive divisors give a proper-divisor sum of 3,595,081, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 5^2 × 41^2 × 311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 16,664,856

Proper Divisor Sum 3,595,081

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #13069759 ← → #13069801

Radix Representation

Decimal	13069775
Binary	110001110110110111001111 (24 bits)
Octal	0o61666717
Hexadecimal	0xC76DCF

Divisor Catalog (18)

1 5 25 41 205 311 1,025 1,555 1,681 7,775 8,405 12,751 42,025 63,755 318,775 522,791 2,613,955 13,069,775

Collatz Trajectory (117 steps to reach 1)

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

13,069,775 39,209,326 19,604,663 58,813,990 29,406,995 88,220,986 44,110,493 132,331,480 66,165,740 33,082,870 16,541,435 49,624,306 24,812,153 74,436,460 37,218,230 18,609,115 55,827,346 27,913,673 83,741,020 41,870,510 20,935,255 62,805,766 31,402,883 94,208,650 47,104,325 141,312,976 70,656,488 35,328,244 17,664,122 8,832,061 26,496,184 13,248,092 6,624,046 3,312,023 9,936,070 4,968,035 14,904,106 7,452,053 22,356,160 11,178,080 5,589,040 2,794,520 1,397,260 698,630 349,315 1,047,946 523,973 1,571,920 785,960 392,980 196,490 98,245 294,736 147,368 73,684 36,842 18,421 55,264 27,632 13,816

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