8,417,965

5 × 137 × 12289

Starting at 8,417,965, the Collatz iteration reaches 1 after 230 steps. The first transition is 25253896; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 137 × 12289

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,176,120

Proper Divisor Sum 1,758,155

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8417963 ← → #8417971

Radix Representation

Decimal	8417965
Binary	100000000111001010101101 (24 bits)
Octal	0o40071255
Hexadecimal	0x8072AD

Divisor Catalog (8)

1 5 137 685 12,289 61,445 1,683,593 8,417,965

Collatz Trajectory (230 steps to reach 1)

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

8,417,965 25,253,896 12,626,948 6,313,474 3,156,737 9,470,212 4,735,106 2,367,553 7,102,660 3,551,330 1,775,665 5,326,996 2,663,498 1,331,749 3,995,248 1,997,624 998,812 499,406 249,703 749,110 374,555 1,123,666 561,833 1,685,500 842,750 421,375 1,264,126 632,063 1,896,190 948,095 2,844,286 1,422,143 4,266,430 2,133,215 6,399,646 3,199,823 9,599,470 4,799,735 14,399,206 7,199,603 21,598,810 10,799,405 32,398,216 16,199,108 8,099,554 4,049,777 12,149,332 6,074,666 3,037,333 9,112,000 4,556,000 2,278,000 1,139,000 569,500 284,750 142,375 427,126 213,563 640,690 320,345

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