8,997,843

3 × 31² × 3121

8,997,843 factors as 3 × 31^2 × 3121. Its 12 positive divisors give a proper-divisor sum of 3,402,741, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 3 × 31^2 × 3121

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,400,584

Proper Divisor Sum 3,402,741

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #8997803 ← → #8997847

Radix Representation

Decimal	8997843
Binary	100010010100101111010011 (24 bits)
Octal	0o42245723
Hexadecimal	0x894BD3

Divisor Catalog (12)

1 3 31 93 961 2,883 3,121 9,363 96,751 290,253 2,999,281 8,997,843

Collatz Trajectory (194 steps to reach 1)

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

8,997,843 26,993,530 13,496,765 40,490,296 20,245,148 10,122,574 5,061,287 15,183,862 7,591,931 22,775,794 11,387,897 34,163,692 17,081,846 8,540,923 25,622,770 12,811,385 38,434,156 19,217,078 9,608,539 28,825,618 14,412,809 43,238,428 21,619,214 10,809,607 32,428,822 16,214,411 48,643,234 24,321,617 72,964,852 36,482,426 18,241,213 54,723,640 27,361,820 13,680,910 6,840,455 20,521,366 10,260,683 30,782,050 15,391,025 46,173,076 23,086,538 11,543,269 34,629,808 17,314,904 8,657,452 4,328,726 2,164,363 6,493,090 3,246,545 9,739,636 4,869,818 2,434,909 7,304,728 3,652,364 1,826,182 913,091 2,739,274 1,369,637 4,108,912 2,054,456

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