4,097,025

3² × 5² × 131 × 139

4,097,025 factors as 3^2 × 5^2 × 131 × 139. Its 36 positive divisors give a proper-divisor sum of 3,350,415, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 131 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 7,447,440

Proper Divisor Sum 3,350,415

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4097021 ← → #4097057

Radix Representation

Decimal	4097025
Binary	1111101000010000000001 (22 bits)
Octal	0o17502001
Hexadecimal	0x3E8401

Divisor Catalog (36)

1 3 5 9 15 25 45 75 131 139 225 393 417 655 695 1,179 1,251 1,965 2,085 3,275 3,475 5,895 6,255 9,825 10,425 18,209 29,475 31,275 54,627 91,045 163,881 273,135 455,225 819,405 1,365,675 4,097,025

Collatz Trajectory (154 steps to reach 1)

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

4,097,025 12,291,076 6,145,538 3,072,769 9,218,308 4,609,154 2,304,577 6,913,732 3,456,866 1,728,433 5,185,300 2,592,650 1,296,325 3,888,976 1,944,488 972,244 486,122 243,061 729,184 364,592 182,296 91,148 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121

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