5,229,762

2 × 3 × 31² × 907

Starting at 5,229,762, the Collatz iteration reaches 1 after 100 steps. The first transition is 2614881; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 31^2 × 907

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,819,728

Proper Divisor Sum 5,589,966

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5229739 ← → #5229767

Radix Representation

Decimal	5229762
Binary	10011111100110011000010 (23 bits)
Octal	0o23746302
Hexadecimal	0x4FCCC2

Divisor Catalog (24)

1 2 3 6 31 62 93 186 907 961 1,814 1,922 2,721 2,883 5,442 5,766 28,117 56,234 84,351 168,702 871,627 1,743,254 2,614,881 5,229,762

Collatz Trajectory (100 steps to reach 1)

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

5,229,762 2,614,881 7,844,644 3,922,322 1,961,161 5,883,484 2,941,742 1,470,871 4,412,614 2,206,307 6,618,922 3,309,461 9,928,384 4,964,192 2,482,096 1,241,048 620,524 310,262 155,131 465,394 232,697 698,092 349,046 174,523 523,570 261,785 785,356 392,678 196,339 589,018 294,509 883,528 441,764 220,882 110,441 331,324 165,662 82,831 248,494 124,247 372,742 186,371 559,114 279,557 838,672 419,336 209,668 104,834 52,417 157,252 78,626 39,313 117,940 58,970 29,485 88,456 44,228 22,114 11,057 33,172

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