2,607,865

5 × 13 × 53 × 757

Starting at 2,607,865, the Collatz iteration reaches 1 after 94 steps. The first transition is 7823596; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 53 × 757

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,438,288

Proper Divisor Sum 830,423

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2607863 ← → #2607929

Radix Representation

Decimal	2607865
Binary	1001111100101011111001 (22 bits)
Octal	0o11745371
Hexadecimal	0x27CAF9

Divisor Catalog (16)

1 5 13 53 65 265 689 757 3,445 3,785 9,841 40,121 49,205 200,605 521,573 2,607,865

Collatz Trajectory (94 steps to reach 1)

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

2,607,865 7,823,596 3,911,798 1,955,899 5,867,698 2,933,849 8,801,548 4,400,774 2,200,387 6,601,162 3,300,581 9,901,744 4,950,872 2,475,436 1,237,718 618,859 1,856,578 928,289 2,784,868 1,392,434 696,217 2,088,652 1,044,326 522,163 1,566,490 783,245 2,349,736 1,174,868 587,434 293,717 881,152 440,576 220,288 110,144 55,072 27,536 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461

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