λ
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9,664,880

24 × 5 × 120811
Abundant Even Composite

9,664,880 factors as 2^4 × 5 × 120811. Its 20 positive divisors give a proper-divisor sum of 12,806,152, so this integer is abundant. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 120811
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 22,471,032
Proper Divisor Sum 12,806,152
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9664877 ← → #9664883

Radix Representation

Decimal 9664880
Binary 100100110111100101110000 (24 bits)
Octal 0o44674560
Hexadecimal 0x937970

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 120,811 241,622 483,244 604,055 966,488 1,208,110 1,932,976 2,416,220 4,832,440 9,664,880

Collatz Trajectory (269 steps to reach 1)

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

9,664,880 4,832,440 2,416,220 1,208,110 604,055 1,812,166 906,083 2,718,250 1,359,125 4,077,376 2,038,688 1,019,344 509,672 254,836 127,418 63,709 191,128 95,564 47,782 23,891 71,674 35,837 107,512 53,756 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089 459,268 229,634 114,817 344,452 172,226 86,113 258,340 129,170 64,585 193,756 96,878 48,439 145,318 72,659 217,978 108,989 326,968 163,484 81,742 40,871 122,614 61,307

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