λ
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14,775,880

23 × 5 × 7 × 113 × 467
Abundant Even Composite

14,775,880 factors as 2^3 × 5 × 7 × 113 × 467. Its 64 positive divisors give a proper-divisor sum of 23,637,560, so this integer is abundant. The Collatz stopping time is 236 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 113 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 38,413,440
Proper Divisor Sum 23,637,560
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #14775853 ← → #14775899

Radix Representation

Decimal 14775880
Binary 111000010111011001001000 (24 bits)
Octal 0o70273110
Hexadecimal 0xE17648

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 467 565 791 904 934 1,130 1,582 1,868 2,260 2,335 3,164 3,269 3,736 3,955 4,520 4,670 6,328 6,538 7,910 9,340 13,076 15,820 16,345 18,680 26,152 31,640 32,690 52,771 65,380 105,542 130,760 211,084 263,855 369,397 422,168 527,710 738,794 1,055,420 1,477,588 1,846,985 2,110,840

Collatz Trajectory (236 steps to reach 1)

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

14,775,880 7,387,940 3,693,970 1,846,985 5,540,956 2,770,478 1,385,239 4,155,718 2,077,859 6,233,578 3,116,789 9,350,368 4,675,184 2,337,592 1,168,796 584,398 292,199 876,598 438,299 1,314,898 657,449 1,972,348 986,174 493,087 1,479,262 739,631 2,218,894 1,109,447 3,328,342 1,664,171 4,992,514 2,496,257 7,488,772 3,744,386 1,872,193 5,616,580 2,808,290 1,404,145 4,212,436 2,106,218 1,053,109 3,159,328 1,579,664 789,832 394,916 197,458 98,729 296,188 148,094 74,047 222,142 111,071 333,214 166,607 499,822 249,911 749,734 374,867 1,124,602 562,301

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