9,856,595

5 × 7² × 40231

9,856,595 factors as 5 × 7^2 × 40231. Its 12 positive divisors give a proper-divisor sum of 3,902,749, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 40231

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,759,344

Proper Divisor Sum 3,902,749

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #9856591 ← → #9856619

Radix Representation

Decimal	9856595
Binary	100101100110011001010011 (24 bits)
Octal	0o45463123
Hexadecimal	0x966653

Divisor Catalog (12)

1 5 7 35 49 245 40,231 201,155 281,617 1,408,085 1,971,319 9,856,595

Collatz Trajectory (163 steps to reach 1)

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

9,856,595 29,569,786 14,784,893 44,354,680 22,177,340 11,088,670 5,544,335 16,633,006 8,316,503 24,949,510 12,474,755 37,424,266 18,712,133 56,136,400 28,068,200 14,034,100 7,017,050 3,508,525 10,525,576 5,262,788 2,631,394 1,315,697 3,947,092 1,973,546 986,773 2,960,320 1,480,160 740,080 370,040 185,020 92,510 46,255 138,766 69,383 208,150 104,075 312,226 156,113 468,340 234,170 117,085 351,256 175,628 87,814 43,907 131,722 65,861 197,584 98,792 49,396 24,698 12,349 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421

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