7,654,375

5⁴ × 37 × 331

7,654,375 factors as 5^4 × 37 × 331. Its 20 positive divisors give a proper-divisor sum of 2,198,721, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 5^4 × 37 × 331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 9,853,096

Proper Divisor Sum 2,198,721

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7654363 ← → #7654379

Radix Representation

Decimal	7654375
Binary	11101001100101111100111 (23 bits)
Octal	0o35145747
Hexadecimal	0x74CBE7

Divisor Catalog (20)

Collatz Trajectory (124 steps to reach 1)

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

7,654,375 22,963,126 11,481,563 34,444,690 17,222,345 51,667,036 25,833,518 12,916,759 38,750,278 19,375,139 58,125,418 29,062,709 87,188,128 43,594,064 21,797,032 10,898,516 5,449,258 2,724,629 8,173,888 4,086,944 2,043,472 1,021,736 510,868 255,434 127,717 383,152 191,576 95,788 47,894 23,947 71,842 35,921 107,764 53,882 26,941 80,824 40,412 20,206 10,103 30,310 15,155 45,466 22,733 68,200 34,100 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098

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