9,509,027

11² × 89 × 883

9,509,027 factors as 11^2 × 89 × 883. Its 12 positive divisors give a proper-divisor sum of 1,072,453, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 11^2 × 89 × 883

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,581,480

Proper Divisor Sum 1,072,453

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9509023 ← → #9509029

Radix Representation

Decimal	9509027
Binary	100100010001100010100011 (24 bits)
Octal	0o44214243
Hexadecimal	0x9118A3

Divisor Catalog (12)

1 11 89 121 883 979 9,713 10,769 78,587 106,843 864,457 9,509,027

Collatz Trajectory (163 steps to reach 1)

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

9,509,027 28,527,082 14,263,541 42,790,624 21,395,312 10,697,656 5,348,828 2,674,414 1,337,207 4,011,622 2,005,811 6,017,434 3,008,717 9,026,152 4,513,076 2,256,538 1,128,269 3,384,808 1,692,404 846,202 423,101 1,269,304 634,652 317,326 158,663 475,990 237,995 713,986 356,993 1,070,980 535,490 267,745 803,236 401,618 200,809 602,428 301,214 150,607 451,822 225,911 677,734 338,867 1,016,602 508,301 1,524,904 762,452 381,226 190,613 571,840 285,920 142,960 71,480 35,740 17,870 8,935 26,806 13,403 40,210 20,105 60,316

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