7,588,976

2⁴ × 474311

7,588,976 factors as 2^4 × 474311. Its 10 positive divisors give a proper-divisor sum of 7,114,696, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 474311

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 14,703,672

Proper Divisor Sum 7,114,696

Digit Sum / Digital Root 50 (Root: 5)

Adjacent Primes #7588963 ← → #7588979

Radix Representation

Decimal	7588976
Binary	11100111100110001110000 (23 bits)
Octal	0o34746160
Hexadecimal	0x73CC70

Divisor Catalog (10)

1 2 4 8 16 474,311 948,622 1,897,244 3,794,488 7,588,976

Collatz Trajectory (129 steps to reach 1)

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

7,588,976 3,794,488 1,897,244 948,622 474,311 1,422,934 711,467 2,134,402 1,067,201 3,201,604 1,600,802 800,401 2,401,204 1,200,602 600,301 1,800,904 900,452 450,226 225,113 675,340 337,670 168,835 506,506 253,253 759,760 379,880 189,940 94,970 47,485 142,456 71,228 35,614 17,807 53,422 26,711 80,134 40,067 120,202 60,101 180,304 90,152 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223

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