5,048,715

3 × 5 × 7² × 6869

For 5,048,715, the 24 positive divisors have a total of 9,398,160. Removing 5,048,715 leaves 4,349,445, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 6869

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,398,160

Proper Divisor Sum 4,349,445

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5048713 ← → #5048717

Radix Representation

Decimal	5048715
Binary	10011010000100110001011 (23 bits)
Octal	0o23204613
Hexadecimal	0x4D098B

Divisor Catalog (24)

1 3 5 7 15 21 35 49 105 147 245 735 6,869 20,607 34,345 48,083 103,035 144,249 240,415 336,581 721,245 1,009,743 1,682,905 5,048,715

Collatz Trajectory (105 steps to reach 1)

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

5,048,715 15,146,146 7,573,073 22,719,220 11,359,610 5,679,805 17,039,416 8,519,708 4,259,854 2,129,927 6,389,782 3,194,891 9,584,674 4,792,337 14,377,012 7,188,506 3,594,253 10,782,760 5,391,380 2,695,690 1,347,845 4,043,536 2,021,768 1,010,884 505,442 252,721 758,164 379,082 189,541 568,624 284,312 142,156 71,078 35,539 106,618 53,309 159,928 79,964 39,982 19,991 59,974 29,987 89,962 44,981 134,944 67,472 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236 7,118 3,559 10,678 5,339

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