986,232

2³ × 3 × 13 × 29 × 109

986,232 factors as 2^3 × 3 × 13 × 29 × 109. Its 64 positive divisors give a proper-divisor sum of 1,785,768, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 29 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,772,000

Proper Divisor Sum 1,785,768

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #986213 ← → #986239

Radix Representation

Decimal	986232
Binary	11110000110001111000 (20 bits)
Octal	0o3606170
Hexadecimal	0xF0C78

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 109 116 156 174 218 232 312 327 348 377 436 654 696 754 872 1,131 1,308 1,417 1,508 2,262 2,616 2,834 3,016 3,161 4,251 4,524 5,668 6,322 8,502 9,048 9,483 11,336 12,644 17,004 18,966 25,288 34,008 37,932 41,093 75,864 82,186 123,279 164,372

Collatz Trajectory (139 steps to reach 1)

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

986,232 493,116 246,558 123,279 369,838 184,919 554,758 277,379 832,138 416,069 1,248,208 624,104 312,052 156,026 78,013 234,040 117,020 58,510 29,255 87,766 43,883 131,650 65,825 197,476 98,738 49,369 148,108 74,054 37,027 111,082 55,541 166,624 83,312 41,656 20,828 10,414 5,207 15,622 7,811 23,434 11,717 35,152 17,576 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175

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