7,412,678

2 × 7 × 13³ × 241

7,412,678 is even and not a perfect square. Its factorization is 2 × 7 × 13^3 × 241 and its 32 divisors sum to 13,823,040.

Prime Factor Structure

Factorization String 2 × 7 × 13^3 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,823,040

Proper Divisor Sum 6,410,362

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7412653 ← → #7412681

Radix Representation

Decimal	7412678
Binary	11100010001101111000110 (23 bits)
Octal	0o34215706
Hexadecimal	0x711BC6

Divisor Catalog (32)

1 2 7 13 14 26 91 169 182 241 338 482 1,183 1,687 2,197 2,366 3,133 3,374 4,394 6,266 15,379 21,931 30,758 40,729 43,862 81,458 285,103 529,477 570,206 1,058,954 3,706,339 7,412,678

Collatz Trajectory (173 steps to reach 1)

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

7,412,678 3,706,339 11,119,018 5,559,509 16,678,528 8,339,264 4,169,632 2,084,816 1,042,408 521,204 260,602 130,301 390,904 195,452 97,726 48,863 146,590 73,295 219,886 109,943 329,830 164,915 494,746 247,373 742,120 371,060 185,530 92,765 278,296 139,148 69,574 34,787 104,362 52,181 156,544 78,272 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218

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