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5,812,652

22 × 232 × 41 × 67
Deficient Even Composite

5,812,652 factors as 2^2 × 23^2 × 41 × 67. Its 36 positive divisors give a proper-divisor sum of 5,242,924, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 23^2 × 41 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,055,576
Proper Divisor Sum 5,242,924
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5812649 ← → #5812661

Radix Representation

Decimal 5812652
Binary 10110001011000110101100 (23 bits)
Octal 0o26130654
Hexadecimal 0x58B1AC

Divisor Catalog (36)

1 2 4 23 41 46 67 82 92 134 164 268 529 943 1,058 1,541 1,886 2,116 2,747 3,082 3,772 5,494 6,164 10,988 21,689 35,443 43,378 63,181 70,886 86,756 126,362 141,772 252,724 1,453,163 2,906,326 5,812,652

Collatz Trajectory (152 steps to reach 1)

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

5,812,652 2,906,326 1,453,163 4,359,490 2,179,745 6,539,236 3,269,618 1,634,809 4,904,428 2,452,214 1,226,107 3,678,322 1,839,161 5,517,484 2,758,742 1,379,371 4,138,114 2,069,057 6,207,172 3,103,586 1,551,793 4,655,380 2,327,690 1,163,845 3,491,536 1,745,768 872,884 436,442 218,221 654,664 327,332 163,666 81,833 245,500 122,750 61,375 184,126 92,063 276,190 138,095 414,286 207,143 621,430 310,715 932,146 466,073 1,398,220 699,110 349,555 1,048,666 524,333 1,573,000 786,500 393,250 196,625 589,876 294,938 147,469 442,408 221,204

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