5,086,920

2³ × 3 × 5 × 42391

Starting at 5,086,920, the Collatz iteration reaches 1 after 175 steps. The first transition is 2543460; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 42391

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,261,120

Proper Divisor Sum 10,174,200

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5086909 ← → #5086931

Radix Representation

Decimal	5086920
Binary	10011011001111011001000 (23 bits)
Octal	0o23317310
Hexadecimal	0x4D9EC8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 42,391 84,782 127,173 169,564 211,955 254,346 339,128 423,910 508,692 635,865 847,820 1,017,384 1,271,730 1,695,640 2,543,460 5,086,920

Collatz Trajectory (175 steps to reach 1)

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

5,086,920 2,543,460 1,271,730 635,865 1,907,596 953,798 476,899 1,430,698 715,349 2,146,048 1,073,024 536,512 268,256 134,128 67,064 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898

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