7,215,078

2 × 3 × 13 × 233 × 397

7,215,078 has the prime decomposition 2 × 3 × 13 × 233 × 397. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 233 × 397

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,646,176

Proper Divisor Sum 8,431,098

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7215067 ← → #7215119

Radix Representation

Decimal	7215078
Binary	11011100001011111100110 (23 bits)
Octal	0o33413746
Hexadecimal	0x6E17E6

Divisor Catalog (32)

1 2 3 6 13 26 39 78 233 397 466 699 794 1,191 1,398 2,382 3,029 5,161 6,058 9,087 10,322 15,483 18,174 30,966 92,501 185,002 277,503 555,006 1,202,513 2,405,026 3,607,539 7,215,078

Collatz Trajectory (72 steps to reach 1)

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

7,215,078 3,607,539 10,822,618 5,411,309 16,233,928 8,116,964 4,058,482 2,029,241 6,087,724 3,043,862 1,521,931 4,565,794 2,282,897 6,848,692 3,424,346 1,712,173 5,136,520 2,568,260 1,284,130 642,065 1,926,196 963,098 481,549 1,444,648 722,324 361,162 180,581 541,744 270,872 135,436 67,718 33,859 101,578 50,789 152,368 76,184 38,092 19,046 9,523 28,570 14,285 42,856 21,428 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212

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