λ
Ratio Atlas

9,995,703

3 × 211 × 15791
Deficient Odd Composite

9,995,703 factors as 3 × 211 × 15791. Its 8 positive divisors give a proper-divisor sum of 3,395,913, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 3 × 211 × 15791
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,391,616
Proper Divisor Sum 3,395,913
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9995701 ← → #9995717

Radix Representation

Decimal 9995703
Binary 100110001000010110110111 (24 bits)
Octal 0o46102667
Hexadecimal 0x9885B7

Divisor Catalog (8)

1 3 211 633 15,791 47,373 3,331,901 9,995,703

Collatz Trajectory (119 steps to reach 1)

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

9,995,703 29,987,110 14,993,555 44,980,666 22,490,333 67,471,000 33,735,500 16,867,750 8,433,875 25,301,626 12,650,813 37,952,440 18,976,220 9,488,110 4,744,055 14,232,166 7,116,083 21,348,250 10,674,125 32,022,376 16,011,188 8,005,594 4,002,797 12,008,392 6,004,196 3,002,098 1,501,049 4,503,148 2,251,574 1,125,787 3,377,362 1,688,681 5,066,044 2,533,022 1,266,511 3,799,534 1,899,767 5,699,302 2,849,651 8,548,954 4,274,477 12,823,432 6,411,716 3,205,858 1,602,929 4,808,788 2,404,394 1,202,197 3,606,592 1,803,296 901,648 450,824 225,412 112,706 56,353 169,060 84,530 42,265 126,796 63,398

More profiles

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