27,762,322

2 × 7² × 283289

27,762,322 factors as 2 × 7^2 × 283289. Its 12 positive divisors give a proper-divisor sum of 20,680,268, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 283289

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,442,590

Proper Divisor Sum 20,680,268

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #27762299 ← → #27762337

Radix Representation

Decimal	27762322
Binary	1101001111001111010010010 (25 bits)
Octal	0o151717222
Hexadecimal	0x1A79E92

Divisor Catalog (12)

1 2 7 14 49 98 283,289 566,578 1,983,023 3,966,046 13,881,161 27,762,322

Collatz Trajectory (136 steps to reach 1)

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

27,762,322 13,881,161 41,643,484 20,821,742 10,410,871 31,232,614 15,616,307 46,848,922 23,424,461 70,273,384 35,136,692 17,568,346 8,784,173 26,352,520 13,176,260 6,588,130 3,294,065 9,882,196 4,941,098 2,470,549 7,411,648 3,705,824 1,852,912 926,456 463,228 231,614 115,807 347,422 173,711 521,134 260,567 781,702 390,851 1,172,554 586,277 1,758,832 879,416 439,708 219,854 109,927 329,782 164,891 494,674 247,337 742,012 371,006 185,503 556,510 278,255 834,766 417,383 1,252,150 626,075 1,878,226 939,113 2,817,340 1,408,670 704,335 2,113,006 1,056,503

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