9,042,028

2² × 17 × 132971

9,042,028 factors as 2^2 × 17 × 132971. Its 12 positive divisors give a proper-divisor sum of 7,712,444, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 132971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,754,472

Proper Divisor Sum 7,712,444

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #9041993 ← → #9042029

Radix Representation

Decimal	9042028
Binary	100010011111100001101100 (24 bits)
Octal	0o42374154
Hexadecimal	0x89F86C

Divisor Catalog (12)

1 2 4 17 34 68 132,971 265,942 531,884 2,260,507 4,521,014 9,042,028

Collatz Trajectory (137 steps to reach 1)

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

9,042,028 4,521,014 2,260,507 6,781,522 3,390,761 10,172,284 5,086,142 2,543,071 7,629,214 3,814,607 11,443,822 5,721,911 17,165,734 8,582,867 25,748,602 12,874,301 38,622,904 19,311,452 9,655,726 4,827,863 14,483,590 7,241,795 21,725,386 10,862,693 32,588,080 16,294,040 8,147,020 4,073,510 2,036,755 6,110,266 3,055,133 9,165,400 4,582,700 2,291,350 1,145,675 3,437,026 1,718,513 5,155,540 2,577,770 1,288,885 3,866,656 1,933,328 966,664 483,332 241,666 120,833 362,500 181,250 90,625 271,876 135,938 67,969 203,908 101,954 50,977 152,932 76,466 38,233 114,700 57,350

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