17,080,947

3² × 13 × 145991

17,080,947 factors as 3^2 × 13 × 145991. Its 12 positive divisors give a proper-divisor sum of 9,489,597, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 145991

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 26,570,544

Proper Divisor Sum 9,489,597

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #17080919 ← → #17080949

Radix Representation

Decimal	17080947
Binary	1000001001010001001110011 (25 bits)
Octal	0o101121163
Hexadecimal	0x104A273

Divisor Catalog (12)

1 3 9 13 39 117 145,991 437,973 1,313,919 1,897,883 5,693,649 17,080,947

Collatz Trajectory (151 steps to reach 1)

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

17,080,947 51,242,842 25,621,421 76,864,264 38,432,132 19,216,066 9,608,033 28,824,100 14,412,050 7,206,025 21,618,076 10,809,038 5,404,519 16,213,558 8,106,779 24,320,338 12,160,169 36,480,508 18,240,254 9,120,127 27,360,382 13,680,191 41,040,574 20,520,287 61,560,862 30,780,431 92,341,294 46,170,647 138,511,942 69,255,971 207,767,914 103,883,957 311,651,872 155,825,936 77,912,968 38,956,484 19,478,242 9,739,121 29,217,364 14,608,682 7,304,341 21,913,024 10,956,512 5,478,256 2,739,128 1,369,564 684,782 342,391 1,027,174 513,587 1,540,762 770,381 2,311,144 1,155,572 577,786 288,893 866,680 433,340 216,670 108,335

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