4,236,496

2⁴ × 11 × 24071

Starting at 4,236,496, the Collatz iteration reaches 1 after 105 steps. The first transition is 2118248; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 24071

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,954,784

Proper Divisor Sum 4,718,288

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4236461 ← → #4236527

Radix Representation

Decimal	4236496
Binary	10000001010010011010000 (23 bits)
Octal	0o20122320
Hexadecimal	0x40A4D0

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 24,071 48,142 96,284 192,568 264,781 385,136 529,562 1,059,124 2,118,248 4,236,496

Collatz Trajectory (105 steps to reach 1)

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

4,236,496 2,118,248 1,059,124 529,562 264,781 794,344 397,172 198,586 99,293 297,880 148,940 74,470 37,235 111,706 55,853 167,560 83,780 41,890 20,945 62,836 31,418 15,709 47,128 23,564 11,782 5,891 17,674 8,837 26,512 13,256 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749

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