5,121,608

2³ × 137 × 4673

Starting at 5,121,608, the Collatz iteration reaches 1 after 175 steps. The first transition is 2560804; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 137 × 4673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,675,180

Proper Divisor Sum 4,553,572

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #5121593 ← → #5121631

Radix Representation

Decimal	5121608
Binary	10011100010011001001000 (23 bits)
Octal	0o23423110
Hexadecimal	0x4E2648

Divisor Catalog (16)

1 2 4 8 137 274 548 1,096 4,673 9,346 18,692 37,384 640,201 1,280,402 2,560,804 5,121,608

Collatz Trajectory (175 steps to reach 1)

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

5,121,608 2,560,804 1,280,402 640,201 1,920,604 960,302 480,151 1,440,454 720,227 2,160,682 1,080,341 3,241,024 1,620,512 810,256 405,128 202,564 101,282 50,641 151,924 75,962 37,981 113,944 56,972 28,486 14,243 42,730 21,365 64,096 32,048 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422

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