5,125,616

2⁴ × 109 × 2939

Starting at 5,125,616, the Collatz iteration reaches 1 after 188 steps. The first transition is 2562808; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 109 × 2939

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,025,400

Proper Divisor Sum 4,899,784

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5125609 ← → #5125639

Radix Representation

Decimal	5125616
Binary	10011100011010111110000 (23 bits)
Octal	0o23432760
Hexadecimal	0x4E35F0

Divisor Catalog (20)

1 2 4 8 16 109 218 436 872 1,744 2,939 5,878 11,756 23,512 47,024 320,351 640,702 1,281,404 2,562,808 5,125,616

Collatz Trajectory (188 steps to reach 1)

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

5,125,616 2,562,808 1,281,404 640,702 320,351 961,054 480,527 1,441,582 720,791 2,162,374 1,081,187 3,243,562 1,621,781 4,865,344 2,432,672 1,216,336 608,168 304,084 152,042 76,021 228,064 114,032 57,016 28,508 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525

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