7,356,466

2 × 13 × 41 × 67 × 103

7,356,466 factors as 2 × 13 × 41 × 67 × 103. Its 32 positive divisors give a proper-divisor sum of 5,118,542, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 13 × 41 × 67 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,475,008

Proper Divisor Sum 5,118,542

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7356463 ← → #7356467

Radix Representation

Decimal	7356466
Binary	11100000100000000110010 (23 bits)
Octal	0o34040062
Hexadecimal	0x704032

Divisor Catalog (32)

1 2 13 26 41 67 82 103 134 206 533 871 1,066 1,339 1,742 2,678 2,747 4,223 5,494 6,901 8,446 13,802 35,711 54,899 71,422 89,713 109,798 179,426 282,941 565,882 3,678,233 7,356,466

Collatz Trajectory (142 steps to reach 1)

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

7,356,466 3,678,233 11,034,700 5,517,350 2,758,675 8,276,026 4,138,013 12,414,040 6,207,020 3,103,510 1,551,755 4,655,266 2,327,633 6,982,900 3,491,450 1,745,725 5,237,176 2,618,588 1,309,294 654,647 1,963,942 981,971 2,945,914 1,472,957 4,418,872 2,209,436 1,104,718 552,359 1,657,078 828,539 2,485,618 1,242,809 3,728,428 1,864,214 932,107 2,796,322 1,398,161 4,194,484 2,097,242 1,048,621 3,145,864 1,572,932 786,466 393,233 1,179,700 589,850 294,925 884,776 442,388 221,194 110,597 331,792 165,896 82,948 41,474 20,737 62,212 31,106 15,553 46,660

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