52,531,742

2 × 41 × 640631

52,531,742 factors as 2 × 41 × 640631. Its 8 positive divisors give a proper-divisor sum of 28,187,890, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 41 × 640631

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 80,719,632

Proper Divisor Sum 28,187,890

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #52531741 ← → #52531753

Radix Representation

Decimal	52531742
Binary	11001000011001001000011110 (26 bits)
Octal	0o310311036
Hexadecimal	0x321921E

Divisor Catalog (8)

1 2 41 82 640,631 1,281,262 26,265,871 52,531,742

Collatz Trajectory (93 steps to reach 1)

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

52,531,742 26,265,871 78,797,614 39,398,807 118,196,422 59,098,211 177,294,634 88,647,317 265,941,952 132,970,976 66,485,488 33,242,744 16,621,372 8,310,686 4,155,343 12,466,030 6,233,015 18,699,046 9,349,523 28,048,570 14,024,285 42,072,856 21,036,428 10,518,214 5,259,107 15,777,322 7,888,661 23,665,984 11,832,992 5,916,496 2,958,248 1,479,124 739,562 369,781 1,109,344 554,672 277,336 138,668 69,334 34,667 104,002 52,001 156,004 78,002 39,001 117,004 58,502 29,251 87,754 43,877 131,632 65,816 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256

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