4,193,025

3 × 5² × 37 × 1511

For 4,193,025, the 24 positive divisors have a total of 7,124,544. Removing 4,193,025 leaves 2,931,519, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5^2 × 37 × 1511

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,124,544

Proper Divisor Sum 2,931,519

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4192997 ← → #4193039

Radix Representation

Decimal	4193025
Binary	1111111111101100000001 (22 bits)
Octal	0o17775401
Hexadecimal	0x3FFB01

Divisor Catalog (24)

1 3 5 15 25 37 75 111 185 555 925 1,511 2,775 4,533 7,555 22,665 37,775 55,907 113,325 167,721 279,535 838,605 1,397,675 4,193,025

Collatz Trajectory (136 steps to reach 1)

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

4,193,025 12,579,076 6,289,538 3,144,769 9,434,308 4,717,154 2,358,577 7,075,732 3,537,866 1,768,933 5,306,800 2,653,400 1,326,700 663,350 331,675 995,026 497,513 1,492,540 746,270 373,135 1,119,406 559,703 1,679,110 839,555 2,518,666 1,259,333 3,778,000 1,889,000 944,500 472,250 236,125 708,376 354,188 177,094 88,547 265,642 132,821 398,464 199,232 99,616 49,808 24,904 12,452 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608

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