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Atlas › Integer Profiles › Node 11,664,384

11,664,384

210 × 3 × 3797
Abundant Even Composite

11,664,384 factors as 2^10 × 3 × 3797. Its 44 positive divisors give a proper-divisor sum of 19,433,640, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^10 × 3 × 3797
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 31,098,024
Proper Divisor Sum 19,433,640
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #11664383 ← → #11664407

Radix Representation

Decimal 11664384
Binary 101100011111110000000000 (24 bits)
Octal 0o54376000
Hexadecimal 0xB1FC00

Divisor Catalog (44)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1,024 1,536 3,072 3,797 7,594 11,391 15,188 22,782 30,376 45,564 60,752 91,128 121,504 182,256 243,008 364,512 486,016 729,024 972,032 1,458,048 1,944,064 2,916,096 3,888,128 5,832,192 11,664,384

Collatz Trajectory (215 steps to reach 1)

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

11,664,384 5,832,192 2,916,096 1,458,048 729,024 364,512 182,256 91,128 45,564 22,782 11,391 34,174 17,087 51,262 25,631 76,894 38,447 115,342 57,671 173,014 86,507 259,522 129,761 389,284 194,642 97,321 291,964 145,982 72,991 218,974 109,487 328,462 164,231 492,694 246,347 739,042 369,521 1,108,564 554,282 277,141 831,424 415,712 207,856 103,928 51,964 25,982 12,991 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993

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