9,999,689

7 × 17² × 4943

9,999,689 factors as 7 × 17^2 × 4943. Its 12 positive divisors give a proper-divisor sum of 2,142,775, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 7 × 17^2 × 4943

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,142,464

Proper Divisor Sum 2,142,775

Digit Sum / Digital Root 59 (Root: 5)

Adjacent Primes #9999677 ← → #9999713

Radix Representation

Decimal	9999689
Binary	100110001001010101001001 (24 bits)
Octal	0o46112511
Hexadecimal	0x989549

Divisor Catalog (12)

1 7 17 119 289 2,023 4,943 34,601 84,031 588,217 1,428,527 9,999,689

Collatz Trajectory (114 steps to reach 1)

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

9,999,689 29,999,068 14,999,534 7,499,767 22,499,302 11,249,651 33,748,954 16,874,477 50,623,432 25,311,716 12,655,858 6,327,929 18,983,788 9,491,894 4,745,947 14,237,842 7,118,921 21,356,764 10,678,382 5,339,191 16,017,574 8,008,787 24,026,362 12,013,181 36,039,544 18,019,772 9,009,886 4,504,943 13,514,830 6,757,415 20,272,246 10,136,123 30,408,370 15,204,185 45,612,556 22,806,278 11,403,139 34,209,418 17,104,709 51,314,128 25,657,064 12,828,532 6,414,266 3,207,133 9,621,400 4,810,700 2,405,350 1,202,675 3,608,026 1,804,013 5,412,040 2,706,020 1,353,010 676,505 2,029,516 1,014,758 507,379 1,522,138 761,069 2,283,208

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