25,583,800

2³ × 5² × 11 × 29 × 401

25,583,800 factors as 2^3 × 5^2 × 11 × 29 × 401. Its 96 positive divisors give a proper-divisor sum of 41,711,000, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 11 × 29 × 401

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 67,294,800

Proper Divisor Sum 41,711,000

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #25583743 ← → #25583809

Radix Representation

Decimal	25583800
Binary	1100001100110000010111000 (25 bits)
Octal	0o141460270
Hexadecimal	0x18660B8

Divisor Catalog (60 of 96)

1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 145 200 220 232 275 290 319 401 440 550 580 638 725 802 1,100 1,160 1,276 1,450 1,595 1,604 2,005 2,200 2,552 2,900 3,190 3,208 4,010 4,411 5,800 6,380 7,975 8,020 8,822 10,025 11,629 12,760 15,950 16,040 17,644 20,050

Collatz Trajectory (149 steps to reach 1)

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

25,583,800 12,791,900 6,395,950 3,197,975 9,593,926 4,796,963 14,390,890 7,195,445 21,586,336 10,793,168 5,396,584 2,698,292 1,349,146 674,573 2,023,720 1,011,860 505,930 252,965 758,896 379,448 189,724 94,862 47,431 142,294 71,147 213,442 106,721 320,164 160,082 80,041 240,124 120,062 60,031 180,094 90,047 270,142 135,071 405,214 202,607 607,822 303,911 911,734 455,867 1,367,602 683,801 2,051,404 1,025,702 512,851 1,538,554 769,277 2,307,832 1,153,916 576,958 288,479 865,438 432,719 1,298,158 649,079 1,947,238 973,619

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