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Atlas › Integer Profiles › Node 11,624,016

11,624,016

24 × 3 × 23 × 10529
Abundant Even Composite

11,624,016 factors as 2^4 × 3 × 23 × 10529. Its 40 positive divisors give a proper-divisor sum of 19,713,264, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 23 × 10529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 31,337,280
Proper Divisor Sum 19,713,264
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #11623999 ← → #11624017

Radix Representation

Decimal 11624016
Binary 101100010101111001010000 (24 bits)
Octal 0o54257120
Hexadecimal 0xB15E50

Divisor Catalog (40)

1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1,104 10,529 21,058 31,587 42,116 63,174 84,232 126,348 168,464 242,167 252,696 484,334 505,392 726,501 968,668 1,453,002 1,937,336 2,906,004 3,874,672 5,812,008 11,624,016

Collatz Trajectory (184 steps to reach 1)

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

11,624,016 5,812,008 2,906,004 1,453,002 726,501 2,179,504 1,089,752 544,876 272,438 136,219 408,658 204,329 612,988 306,494 153,247 459,742 229,871 689,614 344,807 1,034,422 517,211 1,551,634 775,817 2,327,452 1,163,726 581,863 1,745,590 872,795 2,618,386 1,309,193 3,927,580 1,963,790 981,895 2,945,686 1,472,843 4,418,530 2,209,265 6,627,796 3,313,898 1,656,949 4,970,848 2,485,424 1,242,712 621,356 310,678 155,339 466,018 233,009 699,028 349,514 174,757 524,272 262,136 131,068 65,534 32,767 98,302 49,151 147,454 73,727

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