4,861,142

2 × 11 × 13 × 23 × 739

Starting at 4,861,142, the Collatz iteration reaches 1 after 198 steps. The first transition is 2430571; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 23 × 739

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,951,040

Proper Divisor Sum 4,089,898

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4861139 ← → #4861217

Radix Representation

Decimal	4861142
Binary	10010100010110011010110 (23 bits)
Octal	0o22426326
Hexadecimal	0x4A2CD6

Divisor Catalog (32)

1 2 11 13 22 23 26 46 143 253 286 299 506 598 739 1,478 3,289 6,578 8,129 9,607 16,258 16,997 19,214 33,994 105,677 186,967 211,354 220,961 373,934 441,922 2,430,571 4,861,142

Collatz Trajectory (198 steps to reach 1)

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

4,861,142 2,430,571 7,291,714 3,645,857 10,937,572 5,468,786 2,734,393 8,203,180 4,101,590 2,050,795 6,152,386 3,076,193 9,228,580 4,614,290 2,307,145 6,921,436 3,460,718 1,730,359 5,191,078 2,595,539 7,786,618 3,893,309 11,679,928 5,839,964 2,919,982 1,459,991 4,379,974 2,189,987 6,569,962 3,284,981 9,854,944 4,927,472 2,463,736 1,231,868 615,934 307,967 923,902 461,951 1,385,854 692,927 2,078,782 1,039,391 3,118,174 1,559,087 4,677,262 2,338,631 7,015,894 3,507,947 10,523,842 5,261,921 15,785,764 7,892,882 3,946,441 11,839,324 5,919,662 2,959,831 8,879,494 4,439,747 13,319,242 6,659,621

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