7,091,125

5³ × 17 × 47 × 71

For 7,091,125, the 32 positive divisors have a total of 9,704,448. Removing 7,091,125 leaves 2,613,323, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^3 × 17 × 47 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,704,448

Proper Divisor Sum 2,613,323

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7091113 ← → #7091129

Radix Representation

Decimal	7091125
Binary	11011000011001110110101 (23 bits)
Octal	0o33031665
Hexadecimal	0x6C33B5

Divisor Catalog (32)

1 5 17 25 47 71 85 125 235 355 425 799 1,175 1,207 1,775 2,125 3,337 3,995 5,875 6,035 8,875 16,685 19,975 30,175 56,729 83,425 99,875 150,875 283,645 417,125 1,418,225 7,091,125

Collatz Trajectory (98 steps to reach 1)

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

7,091,125 21,273,376 10,636,688 5,318,344 2,659,172 1,329,586 664,793 1,994,380 997,190 498,595 1,495,786 747,893 2,243,680 1,121,840 560,920 280,460 140,230 70,115 210,346 105,173 315,520 157,760 78,880 39,440 19,720 9,860 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209

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