8,553,597

3 × 13² × 16871

8,553,597 factors as 3 × 13^2 × 16871. Its 12 positive divisors give a proper-divisor sum of 3,796,707, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 16871

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,350,304

Proper Divisor Sum 3,796,707

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8553593 ← → #8553599

Radix Representation

Decimal	8553597
Binary	100000101000010001111101 (24 bits)
Octal	0o40502175
Hexadecimal	0x82847D

Divisor Catalog (12)

1 3 13 39 169 507 16,871 50,613 219,323 657,969 2,851,199 8,553,597

Collatz Trajectory (243 steps to reach 1)

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

8,553,597 25,660,792 12,830,396 6,415,198 3,207,599 9,622,798 4,811,399 14,434,198 7,217,099 21,651,298 10,825,649 32,476,948 16,238,474 8,119,237 24,357,712 12,178,856 6,089,428 3,044,714 1,522,357 4,567,072 2,283,536 1,141,768 570,884 285,442 142,721 428,164 214,082 107,041 321,124 160,562 80,281 240,844 120,422 60,211 180,634 90,317 270,952 135,476 67,738 33,869 101,608 50,804 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268

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