8,623,065

3 × 5 × 11² × 4751

Starting at 8,623,065, the Collatz iteration reaches 1 after 106 steps. The first transition is 25869196; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11^2 × 4751

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,168,384

Proper Divisor Sum 6,545,319

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8623061 ← → #8623067

Radix Representation

Decimal	8623065
Binary	100000111001001111011001 (24 bits)
Octal	0o40711731
Hexadecimal	0x8393D9

Divisor Catalog (24)

1 3 5 11 15 33 55 121 165 363 605 1,815 4,751 14,253 23,755 52,261 71,265 156,783 261,305 574,871 783,915 1,724,613 2,874,355 8,623,065

Collatz Trajectory (106 steps to reach 1)

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

8,623,065 25,869,196 12,934,598 6,467,299 19,401,898 9,700,949 29,102,848 14,551,424 7,275,712 3,637,856 1,818,928 909,464 454,732 227,366 113,683 341,050 170,525 511,576 255,788 127,894 63,947 191,842 95,921 287,764 143,882 71,941 215,824 107,912 53,956 26,978 13,489 40,468 20,234 10,117 30,352 15,176 7,588 3,794 1,897 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254

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