8,189,615

5 × 7² × 33427

8,189,615 factors as 5 × 7^2 × 33427. Its 12 positive divisors give a proper-divisor sum of 3,242,761, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 33427

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,432,376

Proper Divisor Sum 3,242,761

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8189603 ← → #8189639

Radix Representation

Decimal	8189615
Binary	11111001111011010101111 (23 bits)
Octal	0o37173257
Hexadecimal	0x7CF6AF

Divisor Catalog (12)

1 5 7 35 49 245 33,427 167,135 233,989 1,169,945 1,637,923 8,189,615

Collatz Trajectory (168 steps to reach 1)

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

8,189,615 24,568,846 12,284,423 36,853,270 18,426,635 55,279,906 27,639,953 82,919,860 41,459,930 20,729,965 62,189,896 31,094,948 15,547,474 7,773,737 23,321,212 11,660,606 5,830,303 17,490,910 8,745,455 26,236,366 13,118,183 39,354,550 19,677,275 59,031,826 29,515,913 88,547,740 44,273,870 22,136,935 66,410,806 33,205,403 99,616,210 49,808,105 149,424,316 74,712,158 37,356,079 112,068,238 56,034,119 168,102,358 84,051,179 252,153,538 126,076,769 378,230,308 189,115,154 94,557,577 283,672,732 141,836,366 70,918,183 212,754,550 106,377,275 319,131,826 159,565,913 478,697,740 239,348,870 119,674,435 359,023,306 179,511,653 538,534,960 269,267,480 134,633,740 67,316,870

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