8,010,315

3² × 5 × 17 × 37 × 283

8,010,315 has the prime decomposition 3^2 × 5 × 17 × 37 × 283. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 37 × 283

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,151,968

Proper Divisor Sum 7,141,653

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8010313 ← → #8010323

Radix Representation

Decimal	8010315
Binary	11110100011101001001011 (23 bits)
Octal	0o36435113
Hexadecimal	0x7A3A4B

Divisor Catalog (48)

1 3 5 9 15 17 37 45 51 85 111 153 185 255 283 333 555 629 765 849 1,415 1,665 1,887 2,547 3,145 4,245 4,811 5,661 9,435 10,471 12,735 14,433 24,055 28,305 31,413 43,299 52,355 72,165 94,239 157,065 178,007 216,495 471,195 534,021 890,035 1,602,063 2,670,105 8,010,315

Collatz Trajectory (186 steps to reach 1)

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

8,010,315 24,030,946 12,015,473 36,046,420 18,023,210 9,011,605 27,034,816 13,517,408 6,758,704 3,379,352 1,689,676 844,838 422,419 1,267,258 633,629 1,900,888 950,444 475,222 237,611 712,834 356,417 1,069,252 534,626 267,313 801,940 400,970 200,485 601,456 300,728 150,364 75,182 37,591 112,774 56,387 169,162 84,581 253,744 126,872 63,436 31,718 15,859 47,578 23,789 71,368 35,684 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412

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