57,795,600

2⁴ × 3 × 5² × 48163

57,795,600 factors as 2^4 × 3 × 5^2 × 48163. Its 60 positive divisors give a proper-divisor sum of 127,346,816, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 48163

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 185,142,416

Proper Divisor Sum 127,346,816

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #57795593 ← → #57795601

Radix Representation

Decimal	57795600
Binary	11011100011110010000010000 (26 bits)
Octal	0o334362020
Hexadecimal	0x371E410

Divisor Catalog (60)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1,200 48,163 96,326 144,489 192,652 240,815 288,978 385,304 481,630 577,956 722,445 770,608 963,260 1,155,912 1,204,075 1,444,890 1,926,520 2,311,824 2,408,150 2,889,780 3,612,225 3,853,040 4,816,300 5,779,560 7,224,450 9,632,600 11,559,120 14,448,900 19,265,200 28,897,800 57,795,600

Collatz Trajectory (145 steps to reach 1)

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

57,795,600 28,897,800 14,448,900 7,224,450 3,612,225 10,836,676 5,418,338 2,709,169 8,127,508 4,063,754 2,031,877 6,095,632 3,047,816 1,523,908 761,954 380,977 1,142,932 571,466 285,733 857,200 428,600 214,300 107,150 53,575 160,726 80,363 241,090 120,545 361,636 180,818 90,409 271,228 135,614 67,807 203,422 101,711 305,134 152,567 457,702 228,851 686,554 343,277 1,029,832 514,916 257,458 128,729 386,188 193,094 96,547 289,642 144,821 434,464 217,232 108,616 54,308 27,154 13,577 40,732 20,366 10,183

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