9,748,739

7 × 11 × 13 × 9739

9,748,739 factors as 7 × 11 × 13 × 9739. Its 16 positive divisors give a proper-divisor sum of 3,341,821, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 7 × 11 × 13 × 9739

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,090,560

Proper Divisor Sum 3,341,821

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #9748721 ← → #9748741

Radix Representation

Decimal	9748739
Binary	100101001100000100000011 (24 bits)
Octal	0o45140403
Hexadecimal	0x94C103

Divisor Catalog (16)

1 7 11 13 77 91 143 1,001 9,739 68,173 107,129 126,607 749,903 886,249 1,392,677 9,748,739

Collatz Trajectory (150 steps to reach 1)

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

9,748,739 29,246,218 14,623,109 43,869,328 21,934,664 10,967,332 5,483,666 2,741,833 8,225,500 4,112,750 2,056,375 6,169,126 3,084,563 9,253,690 4,626,845 13,880,536 6,940,268 3,470,134 1,735,067 5,205,202 2,602,601 7,807,804 3,903,902 1,951,951 5,855,854 2,927,927 8,783,782 4,391,891 13,175,674 6,587,837 19,763,512 9,881,756 4,940,878 2,470,439 7,411,318 3,705,659 11,116,978 5,558,489 16,675,468 8,337,734 4,168,867 12,506,602 6,253,301 18,759,904 9,379,952 4,689,976 2,344,988 1,172,494 586,247 1,758,742 879,371 2,638,114 1,319,057 3,957,172 1,978,586 989,293 2,967,880 1,483,940 741,970 370,985

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