8,495,528

2³ × 41 × 59 × 439

Starting at 8,495,528, the Collatz iteration reaches 1 after 168 steps. The first transition is 4247764; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 41 × 59 × 439

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,632,000

Proper Divisor Sum 8,136,472

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8495503 ← → #8495549

Radix Representation

Decimal	8495528
Binary	100000011010000110101000 (24 bits)
Octal	0o40320650
Hexadecimal	0x81A1A8

Divisor Catalog (32)

1 2 4 8 41 59 82 118 164 236 328 439 472 878 1,756 2,419 3,512 4,838 9,676 17,999 19,352 25,901 35,998 51,802 71,996 103,604 143,992 207,208 1,061,941 2,123,882 4,247,764 8,495,528

Collatz Trajectory (168 steps to reach 1)

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

8,495,528 4,247,764 2,123,882 1,061,941 3,185,824 1,592,912 796,456 398,228 199,114 99,557 298,672 149,336 74,668 37,334 18,667 56,002 28,001 84,004 42,002 21,001 63,004 31,502 15,751 47,254 23,627 70,882 35,441 106,324 53,162 26,581 79,744 39,872 19,936 9,968 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250

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