8,780,200

2³ × 5² × 11 × 13 × 307

8,780,200 factors as 2^3 × 5^2 × 11 × 13 × 307. Its 96 positive divisors give a proper-divisor sum of 15,280,760, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 11 × 13 × 307

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 24,060,960

Proper Divisor Sum 15,280,760

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8780183 ← → #8780201

Radix Representation

Decimal	8780200
Binary	100001011111100110101000 (24 bits)
Octal	0o41374650
Hexadecimal	0x85F9A8

Divisor Catalog (60 of 96)

1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 307 325 440 520 550 572 614 650 715 1,100 1,144 1,228 1,300 1,430 1,535 2,200 2,456 2,600 2,860 3,070 3,377 3,575 3,991 5,720 6,140 6,754 7,150 7,675 7,982 12,280 13,508

Collatz Trajectory (137 steps to reach 1)

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

8,780,200 4,390,100 2,195,050 1,097,525 3,292,576 1,646,288 823,144 411,572 205,786 102,893 308,680 154,340 77,170 38,585 115,756 57,878 28,939 86,818 43,409 130,228 65,114 32,557 97,672 48,836 24,418 12,209 36,628 18,314 9,157 27,472 13,736 6,868 3,434 1,717 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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