981,120

2⁷ × 3 × 5 × 7 × 73

981,120 is even and not a perfect square. Its factorization is 2^7 × 3 × 5 × 7 × 73 and its 128 divisors sum to 3,623,040.

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 7 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 3,623,040

Proper Divisor Sum 2,641,920

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #981091 ← → #981133

Radix Representation

Decimal	981120
Binary	11101111100010000000 (20 bits)
Octal	0o3574200
Hexadecimal	0xEF880

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 73 80 84 96 105 112 120 128 140 146 160 168 192 210 219 224 240 280 292 320 336 365 384 420 438 448 480 511 560 584 640 672 730

Collatz Trajectory (64 steps to reach 1)

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

981,120 490,560 245,280 122,640 61,320 30,660 15,330 7,665 22,996 11,498 5,749 17,248 8,624 4,312 2,156 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5

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