λ
Ratio Atlas

9,998,885

5 × 132 × 11833
Deficient Odd Composite

9,998,885 factors as 5 × 13^2 × 11833. Its 12 positive divisors give a proper-divisor sum of 2,994,847, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 5 × 13^2 × 11833
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,993,732
Proper Divisor Sum 2,994,847
Digit Sum / Digital Root 56 (Root: 2)
Adjacent Primes #9998867 ← → #9998887

Radix Representation

Decimal 9998885
Binary 100110001001001000100101 (24 bits)
Octal 0o46111045
Hexadecimal 0x989225

Divisor Catalog (12)

1 5 13 65 169 845 11,833 59,165 153,829 769,145 1,999,777 9,998,885

Collatz Trajectory (282 steps to reach 1)

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

9,998,885 29,996,656 14,998,328 7,499,164 3,749,582 1,874,791 5,624,374 2,812,187 8,436,562 4,218,281 12,654,844 6,327,422 3,163,711 9,491,134 4,745,567 14,236,702 7,118,351 21,355,054 10,677,527 32,032,582 16,016,291 48,048,874 24,024,437 72,073,312 36,036,656 18,018,328 9,009,164 4,504,582 2,252,291 6,756,874 3,378,437 10,135,312 5,067,656 2,533,828 1,266,914 633,457 1,900,372 950,186 475,093 1,425,280 712,640 356,320 178,160 89,080 44,540 22,270 11,135 33,406 16,703 50,110 25,055 75,166 37,583 112,750 56,375 169,126 84,563 253,690 126,845 380,536

More profiles

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