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11,277,072

24 × 32 × 71 × 1103
Abundant Even Composite

11,277,072 factors as 2^4 × 3^2 × 71 × 1103. Its 60 positive divisors give a proper-divisor sum of 20,756,592, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 71 × 1103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 32,033,664
Proper Divisor Sum 20,756,592
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11277053 ← → #11277109

Radix Representation

Decimal 11277072
Binary 101011000001001100010000 (24 bits)
Octal 0o53011420
Hexadecimal 0xAC1310

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1,103 1,136 1,278 1,704 2,206 2,556 3,309 3,408 4,412 5,112 6,618 8,824 9,927 10,224 13,236 17,648 19,854 26,472 39,708 52,944 78,313 79,416 156,626 158,832 234,939 313,252 469,878 626,504 704,817 939,756 1,253,008 1,409,634 1,879,512 2,819,268 3,759,024 5,638,536 11,277,072

Collatz Trajectory (171 steps to reach 1)

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

11,277,072 5,638,536 2,819,268 1,409,634 704,817 2,114,452 1,057,226 528,613 1,585,840 792,920 396,460 198,230 99,115 297,346 148,673 446,020 223,010 111,505 334,516 167,258 83,629 250,888 125,444 62,722 31,361 94,084 47,042 23,521 70,564 35,282 17,641 52,924 26,462 13,231 39,694 19,847 59,542 29,771 89,314 44,657 133,972 66,986 33,493 100,480 50,240 25,120 12,560 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332

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