5,101,124

2² × 7 × 23 × 89²

Starting at 5,101,124, the Collatz iteration reaches 1 after 82 steps. The first transition is 2550562; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 23 × 89^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 10,766,784

Proper Divisor Sum 5,665,660

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #5101099 ← → #5101127

Radix Representation

Decimal	5101124
Binary	10011011101011001000100 (23 bits)
Octal	0o23353104
Hexadecimal	0x4DD644

Divisor Catalog (36)

Collatz Trajectory (82 steps to reach 1)

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

5,101,124 2,550,562 1,275,281 3,825,844 1,912,922 956,461 2,869,384 1,434,692 717,346 358,673 1,076,020 538,010 269,005 807,016 403,508 201,754 100,877 302,632 151,316 75,658 37,829 113,488 56,744 28,372 14,186 7,093 21,280 10,640 5,320 2,660 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152

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