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987,140

22 × 5 × 7 × 11 × 641
Abundant Even Composite

987,140 factors as 2^2 × 5 × 7 × 11 × 641. Its 48 positive divisors give a proper-divisor sum of 1,601,404, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 641
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,588,544
Proper Divisor Sum 1,601,404
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #987127 ← → #987143

Radix Representation

Decimal 987140
Binary 11110001000000000100 (20 bits)
Octal 0o3610004
Hexadecimal 0xF1004

Divisor Catalog (48)

1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 641 770 1,282 1,540 2,564 3,205 4,487 6,410 7,051 8,974 12,820 14,102 17,948 22,435 28,204 35,255 44,870 49,357 70,510 89,740 98,714 141,020 197,428 246,785 493,570 987,140

Collatz Trajectory (64 steps to reach 1)

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

987,140 493,570 246,785 740,356 370,178 185,089 555,268 277,634 138,817 416,452 208,226 104,113 312,340 156,170 78,085 234,256 117,128 58,564 29,282 14,641 43,924 21,962 10,981 32,944 16,472 8,236 4,118 2,059 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5

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