7,597,197

3² × 43 × 67 × 293

7,597,197 factors as 3^2 × 43 × 67 × 293. Its 24 positive divisors give a proper-divisor sum of 3,838,227, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3^2 × 43 × 67 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,435,424

Proper Divisor Sum 3,838,227

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7597189 ← → #7597211

Radix Representation

Decimal	7597197
Binary	11100111110110010001101 (23 bits)
Octal	0o34766215
Hexadecimal	0x73EC8D

Divisor Catalog (24)

Collatz Trajectory (103 steps to reach 1)

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

7,597,197 22,791,592 11,395,796 5,697,898 2,848,949 8,546,848 4,273,424 2,136,712 1,068,356 534,178 267,089 801,268 400,634 200,317 600,952 300,476 150,238 75,119 225,358 112,679 338,038 169,019 507,058 253,529 760,588 380,294 190,147 570,442 285,221 855,664 427,832 213,916 106,958 53,479 160,438 80,219 240,658 120,329 360,988 180,494 90,247 270,742 135,371 406,114 203,057 609,172 304,586 152,293 456,880 228,440 114,220 57,110 28,555 85,666 42,833 128,500 64,250 32,125 96,376 48,188

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