7,187,150

2 × 5² × 143743

7,187,150 factors as 2 × 5^2 × 143743. Its 12 positive divisors give a proper-divisor sum of 6,181,042, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 143743

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,368,192

Proper Divisor Sum 6,181,042

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7187129 ← → #7187153

Radix Representation

Decimal	7187150
Binary	11011011010101011001110 (23 bits)
Octal	0o33325316
Hexadecimal	0x6DAACE

Divisor Catalog (12)

1 2 5 10 25 50 143,743 287,486 718,715 1,437,430 3,593,575 7,187,150

Collatz Trajectory (129 steps to reach 1)

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

7,187,150 3,593,575 10,780,726 5,390,363 16,171,090 8,085,545 24,256,636 12,128,318 6,064,159 18,192,478 9,096,239 27,288,718 13,644,359 40,933,078 20,466,539 61,399,618 30,699,809 92,099,428 46,049,714 23,024,857 69,074,572 34,537,286 17,268,643 51,805,930 25,902,965 77,708,896 38,854,448 19,427,224 9,713,612 4,856,806 2,428,403 7,285,210 3,642,605 10,927,816 5,463,908 2,731,954 1,365,977 4,097,932 2,048,966 1,024,483 3,073,450 1,536,725 4,610,176 2,305,088 1,152,544 576,272 288,136 144,068 72,034 36,017 108,052 54,026 27,013 81,040 40,520 20,260 10,130 5,065 15,196 7,598

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