λ
Sigma Notebook

7,917,342

2 × 3 × 17 × 77621
Abundant Even Composite

7,917,342 is even and not a perfect square. Its factorization is 2 × 3 × 17 × 77621 and its 16 divisors sum to 16,766,352.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 77621
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,766,352
Proper Divisor Sum 8,849,010
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7917341 ← → #7917347

Radix Representation

Decimal 7917342
Binary 11110001100111100011110 (23 bits)
Octal 0o36147436
Hexadecimal 0x78CF1E

Divisor Catalog (16)

1 2 3 6 17 34 51 102 77,621 155,242 232,863 465,726 1,319,557 2,639,114 3,958,671 7,917,342

Collatz Trajectory (98 steps to reach 1)

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

7,917,342 3,958,671 11,876,014 5,938,007 17,814,022 8,907,011 26,721,034 13,360,517 40,081,552 20,040,776 10,020,388 5,010,194 2,505,097 7,515,292 3,757,646 1,878,823 5,636,470 2,818,235 8,454,706 4,227,353 12,682,060 6,341,030 3,170,515 9,511,546 4,755,773 14,267,320 7,133,660 3,566,830 1,783,415 5,350,246 2,675,123 8,025,370 4,012,685 12,038,056 6,019,028 3,009,514 1,504,757 4,514,272 2,257,136 1,128,568 564,284 282,142 141,071 423,214 211,607 634,822 317,411 952,234 476,117 1,428,352 714,176 357,088 178,544 89,272 44,636 22,318 11,159 33,478 16,739 50,218

More profiles

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