7,204,615

5 × 11 × 29 × 4517

7,204,615 factors as 5 × 11 × 29 × 4517. Its 16 positive divisors give a proper-divisor sum of 2,554,265, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 5 × 11 × 29 × 4517

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,758,880

Proper Divisor Sum 2,554,265

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7204609 ← → #7204619

Radix Representation

Decimal	7204615
Binary	11011011110111100000111 (23 bits)
Octal	0o33367407
Hexadecimal	0x6DEF07

Divisor Catalog (16)

1 5 11 29 55 145 319 1,595 4,517 22,585 49,687 130,993 248,435 654,965 1,440,923 7,204,615

Collatz Trajectory (204 steps to reach 1)

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

7,204,615 21,613,846 10,806,923 32,420,770 16,210,385 48,631,156 24,315,578 12,157,789 36,473,368 18,236,684 9,118,342 4,559,171 13,677,514 6,838,757 20,516,272 10,258,136 5,129,068 2,564,534 1,282,267 3,846,802 1,923,401 5,770,204 2,885,102 1,442,551 4,327,654 2,163,827 6,491,482 3,245,741 9,737,224 4,868,612 2,434,306 1,217,153 3,651,460 1,825,730 912,865 2,738,596 1,369,298 684,649 2,053,948 1,026,974 513,487 1,540,462 770,231 2,310,694 1,155,347 3,466,042 1,733,021 5,199,064 2,599,532 1,299,766 649,883 1,949,650 974,825 2,924,476 1,462,238 731,119 2,193,358 1,096,679 3,290,038 1,645,019

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