4,861,608

2³ × 3 × 202567

Starting at 4,861,608, the Collatz iteration reaches 1 after 162 steps. The first transition is 2430804; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 202567

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,154,080

Proper Divisor Sum 7,292,472

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4861607 ← → #4861621

Radix Representation

Decimal	4861608
Binary	10010100010111010101000 (23 bits)
Octal	0o22427250
Hexadecimal	0x4A2EA8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 202,567 405,134 607,701 810,268 1,215,402 1,620,536 2,430,804 4,861,608

Collatz Trajectory (162 steps to reach 1)

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

4,861,608 2,430,804 1,215,402 607,701 1,823,104 911,552 455,776 227,888 113,944 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 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143

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