14,701,600

2⁵ × 5² × 17 × 23 × 47

14,701,600 factors as 2^5 × 5^2 × 17 × 23 × 47. Its 144 positive divisors give a proper-divisor sum of 25,795,808, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 17 × 23 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 40,497,408

Proper Divisor Sum 25,795,808

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #14701597 ← → #14701667

Radix Representation

Decimal	14701600
Binary	111000000101010000100000 (24 bits)
Octal	0o70052040
Hexadecimal	0xE05420

Divisor Catalog (60 of 144)

1 2 4 5 8 10 16 17 20 23 25 32 34 40 46 47 50 68 80 85 92 94 100 115 136 160 170 184 188 200 230 235 272 340 368 376 391 400 425 460 470 544 575 680 736 752 782 799 800 850 920 940 1,081 1,150 1,175 1,360 1,504 1,564 1,598 1,700

Collatz Trajectory (174 steps to reach 1)

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

14,701,600 7,350,800 3,675,400 1,837,700 918,850 459,425 1,378,276 689,138 344,569 1,033,708 516,854 258,427 775,282 387,641 1,162,924 581,462 290,731 872,194 436,097 1,308,292 654,146 327,073 981,220 490,610 245,305 735,916 367,958 183,979 551,938 275,969 827,908 413,954 206,977 620,932 310,466 155,233 465,700 232,850 116,425 349,276 174,638 87,319 261,958 130,979 392,938 196,469 589,408 294,704 147,352 73,676 36,838 18,419 55,258 27,629 82,888 41,444 20,722 10,361 31,084 15,542

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