7,972,038

2 × 3² × 73 × 6067

7,972,038 factors as 2 × 3^2 × 73 × 6067. Its 24 positive divisors give a proper-divisor sum of 9,540,210, so this integer is abundant. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 73 × 6067

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,512,248

Proper Divisor Sum 9,540,210

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7972033 ← → #7972043

Radix Representation

Decimal	7972038
Binary	11110011010010011000110 (23 bits)
Octal	0o36322306
Hexadecimal	0x79A4C6

Divisor Catalog (24)

Collatz Trajectory (261 steps to reach 1)

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

7,972,038 3,986,019 11,958,058 5,979,029 17,937,088 8,968,544 4,484,272 2,242,136 1,121,068 560,534 280,267 840,802 420,401 1,261,204 630,602 315,301 945,904 472,952 236,476 118,238 59,119 177,358 88,679 266,038 133,019 399,058 199,529 598,588 299,294 149,647 448,942 224,471 673,414 336,707 1,010,122 505,061 1,515,184 757,592 378,796 189,398 94,699 284,098 142,049 426,148 213,074 106,537 319,612 159,806 79,903 239,710 119,855 359,566 179,783 539,350 269,675 809,026 404,513 1,213,540 606,770 303,385

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