8,224,835

5 × 29 × 131 × 433

Starting at 8,224,835, the Collatz iteration reaches 1 after 243 steps. The first transition is 24674506; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 29 × 131 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,311,840

Proper Divisor Sum 2,087,005

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8224831 ← → #8224847

Radix Representation

Decimal	8224835
Binary	11111011000000001000011 (23 bits)
Octal	0o37300103
Hexadecimal	0x7D8043

Divisor Catalog (16)

1 5 29 131 145 433 655 2,165 3,799 12,557 18,995 56,723 62,785 283,615 1,644,967 8,224,835

Collatz Trajectory (243 steps to reach 1)

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

8,224,835 24,674,506 12,337,253 37,011,760 18,505,880 9,252,940 4,626,470 2,313,235 6,939,706 3,469,853 10,409,560 5,204,780 2,602,390 1,301,195 3,903,586 1,951,793 5,855,380 2,927,690 1,463,845 4,391,536 2,195,768 1,097,884 548,942 274,471 823,414 411,707 1,235,122 617,561 1,852,684 926,342 463,171 1,389,514 694,757 2,084,272 1,042,136 521,068 260,534 130,267 390,802 195,401 586,204 293,102 146,551 439,654 219,827 659,482 329,741 989,224 494,612 247,306 123,653 370,960 185,480 92,740 46,370 23,185 69,556 34,778 17,389 52,168

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