4,839,152

2⁴ × 17 × 17791

Starting at 4,839,152, the Collatz iteration reaches 1 after 162 steps. The first transition is 2419576; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 17 × 17791

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 9,927,936

Proper Divisor Sum 5,088,784

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4839151 ← → #4839157

Radix Representation

Decimal	4839152
Binary	10010011101011011110000 (23 bits)
Octal	0o22353360
Hexadecimal	0x49D6F0

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 17,791 35,582 71,164 142,328 284,656 302,447 604,894 1,209,788 2,419,576 4,839,152

Collatz Trajectory (162 steps to reach 1)

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

4,839,152 2,419,576 1,209,788 604,894 302,447 907,342 453,671 1,361,014 680,507 2,041,522 1,020,761 3,062,284 1,531,142 765,571 2,296,714 1,148,357 3,445,072 1,722,536 861,268 430,634 215,317 645,952 322,976 161,488 80,744 40,372 20,186 10,093 30,280 15,140 7,570 3,785 11,356 5,678 2,839 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143

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