7,325,416

2³ × 7 × 130811

Starting at 7,325,416, the Collatz iteration reaches 1 after 222 steps. The first transition is 3662708; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 130811

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,697,440

Proper Divisor Sum 8,372,024

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7325413 ← → #7325443

Radix Representation

Decimal	7325416
Binary	11011111100011011101000 (23 bits)
Octal	0o33743350
Hexadecimal	0x6FC6E8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 130,811 261,622 523,244 915,677 1,046,488 1,831,354 3,662,708 7,325,416

Collatz Trajectory (222 steps to reach 1)

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

7,325,416 3,662,708 1,831,354 915,677 2,747,032 1,373,516 686,758 343,379 1,030,138 515,069 1,545,208 772,604 386,302 193,151 579,454 289,727 869,182 434,591 1,303,774 651,887 1,955,662 977,831 2,933,494 1,466,747 4,400,242 2,200,121 6,600,364 3,300,182 1,650,091 4,950,274 2,475,137 7,425,412 3,712,706 1,856,353 5,569,060 2,784,530 1,392,265 4,176,796 2,088,398 1,044,199 3,132,598 1,566,299 4,698,898 2,349,449 7,048,348 3,524,174 1,762,087 5,286,262 2,643,131 7,929,394 3,964,697 11,894,092 5,947,046 2,973,523 8,920,570 4,460,285 13,380,856 6,690,428 3,345,214 1,672,607

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