3,545,787

3 × 7² × 24121

3,545,787 factors as 3 × 7^2 × 24121. Its 12 positive divisors give a proper-divisor sum of 1,954,029, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 24121

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,499,816

Proper Divisor Sum 1,954,029

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3545783 ← → #3545791

Radix Representation

Decimal	3545787
Binary	1101100001101010111011 (22 bits)
Octal	0o15415273
Hexadecimal	0x361ABB

Divisor Catalog (12)

1 3 7 21 49 147 24,121 72,363 168,847 506,541 1,181,929 3,545,787

Collatz Trajectory (128 steps to reach 1)

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

3,545,787 10,637,362 5,318,681 15,956,044 7,978,022 3,989,011 11,967,034 5,983,517 17,950,552 8,975,276 4,487,638 2,243,819 6,731,458 3,365,729 10,097,188 5,048,594 2,524,297 7,572,892 3,786,446 1,893,223 5,679,670 2,839,835 8,519,506 4,259,753 12,779,260 6,389,630 3,194,815 9,584,446 4,792,223 14,376,670 7,188,335 21,565,006 10,782,503 32,347,510 16,173,755 48,521,266 24,260,633 72,781,900 36,390,950 18,195,475 54,586,426 27,293,213 81,879,640 40,939,820 20,469,910 10,234,955 30,704,866 15,352,433 46,057,300 23,028,650 11,514,325 34,542,976 17,271,488 8,635,744 4,317,872 2,158,936 1,079,468 539,734 269,867 809,602

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