7,994,745

3² × 5 × 11 × 31 × 521

7,994,745 factors as 3^2 × 5 × 11 × 31 × 521. Its 48 positive divisors give a proper-divisor sum of 7,640,199, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 31 × 521

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,634,944

Proper Divisor Sum 7,640,199

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7994729 ← → #7994759

Radix Representation

Decimal	7994745
Binary	11110011111110101111001 (23 bits)
Octal	0o36376571
Hexadecimal	0x79FD79

Divisor Catalog (48)

1 3 5 9 11 15 31 33 45 55 93 99 155 165 279 341 465 495 521 1,023 1,395 1,563 1,705 2,605 3,069 4,689 5,115 5,731 7,815 15,345 16,151 17,193 23,445 28,655 48,453 51,579 80,755 85,965 145,359 177,661 242,265 257,895 532,983 726,795 888,305 1,598,949 2,664,915 7,994,745

Collatz Trajectory (124 steps to reach 1)

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

7,994,745 23,984,236 11,992,118 5,996,059 17,988,178 8,994,089 26,982,268 13,491,134 6,745,567 20,236,702 10,118,351 30,355,054 15,177,527 45,532,582 22,766,291 68,298,874 34,149,437 102,448,312 51,224,156 25,612,078 12,806,039 38,418,118 19,209,059 57,627,178 28,813,589 86,440,768 43,220,384 21,610,192 10,805,096 5,402,548 2,701,274 1,350,637 4,051,912 2,025,956 1,012,978 506,489 1,519,468 759,734 379,867 1,139,602 569,801 1,709,404 854,702 427,351 1,282,054 641,027 1,923,082 961,541 2,884,624 1,442,312 721,156 360,578 180,289 540,868 270,434 135,217 405,652 202,826 101,413 304,240

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