5,378,932

2² × 13² × 73 × 109

Starting at 5,378,932, the Collatz iteration reaches 1 after 126 steps. The first transition is 2689466; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 73 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 10,427,340

Proper Divisor Sum 5,048,408

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #5378929 ← → #5378939

Radix Representation

Decimal	5378932
Binary	10100100001001101110100 (23 bits)
Octal	0o24411564
Hexadecimal	0x521374

Divisor Catalog (36)

1 2 4 13 26 52 73 109 146 169 218 292 338 436 676 949 1,417 1,898 2,834 3,796 5,668 7,957 12,337 15,914 18,421 24,674 31,828 36,842 49,348 73,684 103,441 206,882 413,764 1,344,733 2,689,466 5,378,932

Collatz Trajectory (126 steps to reach 1)

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

5,378,932 2,689,466 1,344,733 4,034,200 2,017,100 1,008,550 504,275 1,512,826 756,413 2,269,240 1,134,620 567,310 283,655 850,966 425,483 1,276,450 638,225 1,914,676 957,338 478,669 1,436,008 718,004 359,002 179,501 538,504 269,252 134,626 67,313 201,940 100,970 50,485 151,456 75,728 37,864 18,932 9,466 4,733 14,200 7,100 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690

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