8,772,442

2 × 7 × 17 × 29 × 31 × 41

8,772,442 is even and not a perfect square. Its factorization is 2 × 7 × 17 × 29 × 31 × 41 and its 64 divisors sum to 17,418,240.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 29 × 31 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 17,418,240

Proper Divisor Sum 8,645,798

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8772437 ← → #8772443

Radix Representation

Decimal	8772442
Binary	100001011101101101011010 (24 bits)
Octal	0o41355532
Hexadecimal	0x85DB5A

Divisor Catalog (60 of 64)

1 2 7 14 17 29 31 34 41 58 62 82 119 203 217 238 287 406 434 493 527 574 697 899 986 1,054 1,189 1,271 1,394 1,798 2,378 2,542 3,451 3,689 4,879 6,293 6,902 7,378 8,323 8,897 9,758 12,586 15,283 16,646 17,794 20,213 21,607 30,566 36,859 40,426 43,214 73,718 106,981 141,491 151,249 213,962 258,013 282,982 302,498 516,026

Collatz Trajectory (62 steps to reach 1)

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

8,772,442 4,386,221 13,158,664 6,579,332 3,289,666 1,644,833 4,934,500 2,467,250 1,233,625 3,700,876 1,850,438 925,219 2,775,658 1,387,829 4,163,488 2,081,744 1,040,872 520,436 260,218 130,109 390,328 195,164 97,582 48,791 146,374 73,187 219,562 109,781 329,344 164,672 82,336 41,168 20,584 10,292 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8

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