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Atlas › Integer Profiles › Node 11,615,744

11,615,744

29 × 72 × 463
Abundant Even Composite

Prime Factor Structure

Factorization String 2^9 × 7^2 × 463
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 27,056,304
Proper Divisor Sum 15,440,560
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #11615741 ← → #11615771

Radix Representation

Decimal 11615744
Binary 101100010011111000000000 (24 bits)
Octal 0o54237000
Hexadecimal 0xB13E00

Divisor Catalog (60)

1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 463 512 784 896 926 1,568 1,792 1,852 3,136 3,241 3,584 3,704 6,272 6,482 7,408 12,544 12,964 14,816 22,687 25,088 25,928 29,632 45,374 51,856 59,264 90,748 103,712 118,528 181,496 207,424 237,056 362,992 414,848 725,984 829,696 1,451,968 1,659,392 2,903,936 5,807,872 11,615,744

Collatz Trajectory (122 steps to reach 1)

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

11,615,744 5,807,872 2,903,936 1,451,968 725,984 362,992 181,496 90,748 45,374 22,687 68,062 34,031 102,094 51,047 153,142 76,571 229,714 114,857 344,572 172,286 86,143 258,430 129,215 387,646 193,823 581,470 290,735 872,206 436,103 1,308,310 654,155 1,962,466 981,233 2,943,700 1,471,850 735,925 2,207,776 1,103,888 551,944 275,972 137,986 68,993 206,980 103,490 51,745 155,236 77,618 38,809 116,428 58,214 29,107 87,322 43,661 130,984 65,492 32,746 16,373 49,120 24,560 12,280

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