12,028,618

2 × 7² × 122741

12,028,618 factors as 2 × 7^2 × 122741. Its 12 positive divisors give a proper-divisor sum of 8,960,264, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 122741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,988,882

Proper Divisor Sum 8,960,264

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #12028603 ← → #12028637

Radix Representation

Decimal	12028618
Binary	101101111000101011001010 (24 bits)
Octal	0o55705312
Hexadecimal	0xB78ACA

Divisor Catalog (12)

1 2 7 14 49 98 122,741 245,482 859,187 1,718,374 6,014,309 12,028,618

Collatz Trajectory (114 steps to reach 1)

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

12,028,618 6,014,309 18,042,928 9,021,464 4,510,732 2,255,366 1,127,683 3,383,050 1,691,525 5,074,576 2,537,288 1,268,644 634,322 317,161 951,484 475,742 237,871 713,614 356,807 1,070,422 535,211 1,605,634 802,817 2,408,452 1,204,226 602,113 1,806,340 903,170 451,585 1,354,756 677,378 338,689 1,016,068 508,034 254,017 762,052 381,026 190,513 571,540 285,770 142,885 428,656 214,328 107,164 53,582 26,791 80,374 40,187 120,562 60,281 180,844 90,422 45,211 135,634 67,817 203,452 101,726 50,863 152,590 76,295

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