9,506,002

2 × 11³ × 3571

9,506,002 factors as 2 × 11^3 × 3571. Its 16 positive divisors give a proper-divisor sum of 6,182,222, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 11^3 × 3571

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,688,224

Proper Divisor Sum 6,182,222

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #9505981 ← → #9506011

Radix Representation

Decimal	9506002
Binary	100100010000110011010010 (24 bits)
Octal	0o44206322
Hexadecimal	0x910CD2

Divisor Catalog (16)

1 2 11 22 121 242 1,331 2,662 3,571 7,142 39,281 78,562 432,091 864,182 4,753,001 9,506,002

Collatz Trajectory (194 steps to reach 1)

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

9,506,002 4,753,001 14,259,004 7,129,502 3,564,751 10,694,254 5,347,127 16,041,382 8,020,691 24,062,074 12,031,037 36,093,112 18,046,556 9,023,278 4,511,639 13,534,918 6,767,459 20,302,378 10,151,189 30,453,568 15,226,784 7,613,392 3,806,696 1,903,348 951,674 475,837 1,427,512 713,756 356,878 178,439 535,318 267,659 802,978 401,489 1,204,468 602,234 301,117 903,352 451,676 225,838 112,919 338,758 169,379 508,138 254,069 762,208 381,104 190,552 95,276 47,638 23,819 71,458 35,729 107,188 53,594 26,797 80,392 40,196 20,098 10,049

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