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11,244,528

24 × 33 × 26029
Abundant Even Composite

11,244,528 factors as 2^4 × 3^3 × 26029. Its 40 positive divisors give a proper-divisor sum of 21,032,672, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 26029
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 32,277,200
Proper Divisor Sum 21,032,672
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11244503 ← → #11244529

Radix Representation

Decimal 11244528
Binary 101010111001001111110000 (24 bits)
Octal 0o52711760
Hexadecimal 0xAB93F0

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 26,029 52,058 78,087 104,116 156,174 208,232 234,261 312,348 416,464 468,522 624,696 702,783 937,044 1,249,392 1,405,566 1,874,088 2,811,132 3,748,176 5,622,264 11,244,528

Collatz Trajectory (184 steps to reach 1)

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

11,244,528 5,622,264 2,811,132 1,405,566 702,783 2,108,350 1,054,175 3,162,526 1,581,263 4,743,790 2,371,895 7,115,686 3,557,843 10,673,530 5,336,765 16,010,296 8,005,148 4,002,574 2,001,287 6,003,862 3,001,931 9,005,794 4,502,897 13,508,692 6,754,346 3,377,173 10,131,520 5,065,760 2,532,880 1,266,440 633,220 316,610 158,305 474,916 237,458 118,729 356,188 178,094 89,047 267,142 133,571 400,714 200,357 601,072 300,536 150,268 75,134 37,567 112,702 56,351 169,054 84,527 253,582 126,791 380,374 190,187 570,562 285,281 855,844 427,922

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