8,075,615

5 × 43 × 37561

Starting at 8,075,615, the Collatz iteration reaches 1 after 261 steps. The first transition is 24226846; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 43 × 37561

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,916,368

Proper Divisor Sum 1,840,753

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8075597 ← → #8075623

Radix Representation

Decimal	8075615
Binary	11110110011100101011111 (23 bits)
Octal	0o36634537
Hexadecimal	0x7B395F

Divisor Catalog (8)

1 5 43 215 37,561 187,805 1,615,123 8,075,615

Collatz Trajectory (261 steps to reach 1)

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

8,075,615 24,226,846 12,113,423 36,340,270 18,170,135 54,510,406 27,255,203 81,765,610 40,882,805 122,648,416 61,324,208 30,662,104 15,331,052 7,665,526 3,832,763 11,498,290 5,749,145 17,247,436 8,623,718 4,311,859 12,935,578 6,467,789 19,403,368 9,701,684 4,850,842 2,425,421 7,276,264 3,638,132 1,819,066 909,533 2,728,600 1,364,300 682,150 341,075 1,023,226 511,613 1,534,840 767,420 383,710 191,855 575,566 287,783 863,350 431,675 1,295,026 647,513 1,942,540 971,270 485,635 1,456,906 728,453 2,185,360 1,092,680 546,340 273,170 136,585 409,756 204,878 102,439 307,318

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