92,467,200

2¹² × 3 × 5² × 7 × 43

92,467,200 factors as 2^12 × 3 × 5^2 × 7 × 43. Its 312 positive divisors give a proper-divisor sum of 265,053,568, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^12 × 3 × 5^2 × 7 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 312

Divisor Sum (σ) 357,520,768

Proper Divisor Sum 265,053,568

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #92467187 ← → #92467253

Radix Representation

Decimal	92467200
Binary	101100000101111000000000000 (27 bits)
Octal	0o540570000
Hexadecimal	0x582F000

Divisor Catalog (60 of 312)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 43 48 50 56 60 64 70 75 80 84 86 96 100 105 112 120 128 129 140 150 160 168 172 175 192 200 210 215 224 240 256 258 280 300 301 320 336

Collatz Trajectory (125 steps to reach 1)

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

92,467,200 46,233,600 23,116,800 11,558,400 5,779,200 2,889,600 1,444,800 722,400 361,200 180,600 90,300 45,150 22,575 67,726 33,863 101,590 50,795 152,386 76,193 228,580 114,290 57,145 171,436 85,718 42,859 128,578 64,289 192,868 96,434 48,217 144,652 72,326 36,163 108,490 54,245 162,736 81,368 40,684 20,342 10,171 30,514 15,257 45,772 22,886 11,443 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717

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