7,767,392

2⁵ × 242731

7,767,392 has the prime decomposition 2^5 × 242731. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 242731

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,292,116

Proper Divisor Sum 7,524,724

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7767349 ← → #7767401

Radix Representation

Decimal	7767392
Binary	11101101000010101100000 (23 bits)
Octal	0o35502540
Hexadecimal	0x768560

Divisor Catalog (12)

1 2 4 8 16 32 242,731 485,462 970,924 1,941,848 3,883,696 7,767,392

Collatz Trajectory (93 steps to reach 1)

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

7,767,392 3,883,696 1,941,848 970,924 485,462 242,731 728,194 364,097 1,092,292 546,146 273,073 819,220 409,610 204,805 614,416 307,208 153,604 76,802 38,401 115,204 57,602 28,801 86,404 43,202 21,601 64,804 32,402 16,201 48,604 24,302 12,151 36,454 18,227 54,682 27,341 82,024 41,012 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229

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