9,505,744

2⁴ × 37 × 16057

9,505,744 factors as 2^4 × 37 × 16057. Its 20 positive divisors give a proper-divisor sum of 9,410,580, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^4 × 37 × 16057

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 18,916,324

Proper Divisor Sum 9,410,580

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9505733 ← → #9505751

Radix Representation

Decimal	9505744
Binary	100100010000101111010000 (24 bits)
Octal	0o44205720
Hexadecimal	0x910BD0

Divisor Catalog (20)

Collatz Trajectory (101 steps to reach 1)

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

9,505,744 4,752,872 2,376,436 1,188,218 594,109 1,782,328 891,164 445,582 222,791 668,374 334,187 1,002,562 501,281 1,503,844 751,922 375,961 1,127,884 563,942 281,971 845,914 422,957 1,268,872 634,436 317,218 158,609 475,828 237,914 118,957 356,872 178,436 89,218 44,609 133,828 66,914 33,457 100,372 50,186 25,093 75,280 37,640 18,820 9,410 4,705 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676

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