9,768,447

3² × 13 × 29 × 2879

9,768,447 factors as 3^2 × 13 × 29 × 2879. Its 24 positive divisors give a proper-divisor sum of 5,956,353, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 29 × 2879

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,724,800

Proper Divisor Sum 5,956,353

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9768443 ← → #9768449

Radix Representation

Decimal	9768447
Binary	100101010000110111111111 (24 bits)
Octal	0o45206777
Hexadecimal	0x950DFF

Divisor Catalog (24)

Collatz Trajectory (269 steps to reach 1)

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

9,768,447 29,305,342 14,652,671 43,958,014 21,979,007 65,937,022 32,968,511 98,905,534 49,452,767 148,358,302 74,179,151 222,537,454 111,268,727 333,806,182 166,903,091 500,709,274 250,354,637 751,063,912 375,531,956 187,765,978 93,882,989 281,648,968 140,824,484 70,412,242 35,206,121 105,618,364 52,809,182 26,404,591 79,213,774 39,606,887 118,820,662 59,410,331 178,230,994 89,115,497 267,346,492 133,673,246 66,836,623 200,509,870 100,254,935 300,764,806 150,382,403 451,147,210 225,573,605 676,720,816 338,360,408 169,180,204 84,590,102 42,295,051 126,885,154 63,442,577 190,327,732 95,163,866 47,581,933 142,745,800 71,372,900 35,686,450 17,843,225 53,529,676 26,764,838 13,382,419

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