4,862,392

2³ × 37 × 16427

Starting at 4,862,392, the Collatz iteration reaches 1 after 87 steps. The first transition is 2431196; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 37 × 16427

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,363,960

Proper Divisor Sum 4,501,568

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4862353 ← → #4862393

Radix Representation

Decimal	4862392
Binary	10010100011000110111000 (23 bits)
Octal	0o22430670
Hexadecimal	0x4A31B8

Divisor Catalog (16)

1 2 4 8 37 74 148 296 16,427 32,854 65,708 131,416 607,799 1,215,598 2,431,196 4,862,392

Collatz Trajectory (87 steps to reach 1)

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

4,862,392 2,431,196 1,215,598 607,799 1,823,398 911,699 2,735,098 1,367,549 4,102,648 2,051,324 1,025,662 512,831 1,538,494 769,247 2,307,742 1,153,871 3,461,614 1,730,807 5,192,422 2,596,211 7,788,634 3,894,317 11,682,952 5,841,476 2,920,738 1,460,369 4,381,108 2,190,554 1,095,277 3,285,832 1,642,916 821,458 410,729 1,232,188 616,094 308,047 924,142 462,071 1,386,214 693,107 2,079,322 1,039,661 3,118,984 1,559,492 779,746 389,873 1,169,620 584,810 292,405 877,216 438,608 219,304 109,652 54,826 27,413 82,240 41,120 20,560 10,280 5,140

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