8,720,187

3 × 7² × 137 × 433

8,720,187 factors as 3 × 7^2 × 137 × 433. Its 24 positive divisors give a proper-divisor sum of 4,935,189, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 137 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,655,376

Proper Divisor Sum 4,935,189

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8720177 ← → #8720189

Radix Representation

Decimal	8720187
Binary	100001010000111100111011 (24 bits)
Octal	0o41207473
Hexadecimal	0x850F3B

Divisor Catalog (24)

Collatz Trajectory (150 steps to reach 1)

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

8,720,187 26,160,562 13,080,281 39,240,844 19,620,422 9,810,211 29,430,634 14,715,317 44,145,952 22,072,976 11,036,488 5,518,244 2,759,122 1,379,561 4,138,684 2,069,342 1,034,671 3,104,014 1,552,007 4,656,022 2,328,011 6,984,034 3,492,017 10,476,052 5,238,026 2,619,013 7,857,040 3,928,520 1,964,260 982,130 491,065 1,473,196 736,598 368,299 1,104,898 552,449 1,657,348 828,674 414,337 1,243,012 621,506 310,753 932,260 466,130 233,065 699,196 349,598 174,799 524,398 262,199 786,598 393,299 1,179,898 589,949 1,769,848 884,924 442,462 221,231 663,694 331,847

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