28,265,800

2³ × 5² × 31 × 47 × 97

28,265,800 factors as 2^3 × 5^2 × 31 × 47 × 97. Its 96 positive divisors give a proper-divisor sum of 41,729,720, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 31 × 47 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 69,995,520

Proper Divisor Sum 41,729,720

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #28265791 ← → #28265803

Radix Representation

Decimal	28265800
Binary	1101011110100110101001000 (25 bits)
Octal	0o153646510
Hexadecimal	0x1AF4D48

Divisor Catalog (60 of 96)

1 2 4 5 8 10 20 25 31 40 47 50 62 94 97 100 124 155 188 194 200 235 248 310 376 388 470 485 620 775 776 940 970 1,175 1,240 1,457 1,550 1,880 1,940 2,350 2,425 2,914 3,007 3,100 3,880 4,559 4,700 4,850 5,828 6,014 6,200 7,285 9,118 9,400 9,700 11,656 12,028 14,570 15,035 18,236

Collatz Trajectory (149 steps to reach 1)

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

28,265,800 14,132,900 7,066,450 3,533,225 10,599,676 5,299,838 2,649,919 7,949,758 3,974,879 11,924,638 5,962,319 17,886,958 8,943,479 26,830,438 13,415,219 40,245,658 20,122,829 60,368,488 30,184,244 15,092,122 7,546,061 22,638,184 11,319,092 5,659,546 2,829,773 8,489,320 4,244,660 2,122,330 1,061,165 3,183,496 1,591,748 795,874 397,937 1,193,812 596,906 298,453 895,360 447,680 223,840 111,920 55,960 27,980 13,990 6,995 20,986 10,493 31,480 15,740 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888

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