λ
Math Directory

9,355,095

34 × 5 × 23099
Deficient Odd Composite

9,355,095 factors as 3^4 × 5 × 23099. Its 20 positive divisors give a proper-divisor sum of 7,415,505, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 23099
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,770,600
Proper Divisor Sum 7,415,505
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9355091 ← → #9355097

Radix Representation

Decimal 9355095
Binary 100011101011111101010111 (24 bits)
Octal 0o43537527
Hexadecimal 0x8EBF57

Divisor Catalog (20)

1 3 5 9 15 27 45 81 135 405 23,099 69,297 115,495 207,891 346,485 623,673 1,039,455 1,871,019 3,118,365 9,355,095

Collatz Trajectory (88 steps to reach 1)

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

9,355,095 28,065,286 14,032,643 42,097,930 21,048,965 63,146,896 31,573,448 15,786,724 7,893,362 3,946,681 11,840,044 5,920,022 2,960,011 8,880,034 4,440,017 13,320,052 6,660,026 3,330,013 9,990,040 4,995,020 2,497,510 1,248,755 3,746,266 1,873,133 5,619,400 2,809,700 1,404,850 702,425 2,107,276 1,053,638 526,819 1,580,458 790,229 2,370,688 1,185,344 592,672 296,336 148,168 74,084 37,042 18,521 55,564 27,782 13,891 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649

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