7,515,738

2 × 3² × 417541

7,515,738 has the prime decomposition 2 × 3^2 × 417541. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 417541

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,284,138

Proper Divisor Sum 8,768,400

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7515731 ← → #7515757

Radix Representation

Decimal	7515738
Binary	11100101010111001011010 (23 bits)
Octal	0o34527132
Hexadecimal	0x72AE5A

Divisor Catalog (12)

1 2 3 6 9 18 417,541 835,082 1,252,623 2,505,246 3,757,869 7,515,738

Collatz Trajectory (129 steps to reach 1)

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

7,515,738 3,757,869 11,273,608 5,636,804 2,818,402 1,409,201 4,227,604 2,113,802 1,056,901 3,170,704 1,585,352 792,676 396,338 198,169 594,508 297,254 148,627 445,882 222,941 668,824 334,412 167,206 83,603 250,810 125,405 376,216 188,108 94,054 47,027 141,082 70,541 211,624 105,812 52,906 26,453 79,360 39,680 19,840 9,920 4,960 2,480 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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