λ
Prime Ledger

7,961,240

23 × 5 × 7 × 28433
Abundant Even Composite

7,961,240 has the prime decomposition 2^3 × 5 × 7 × 28433. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 28433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,472,480
Proper Divisor Sum 12,511,240
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7961231 ← → #7961267

Radix Representation

Decimal 7961240
Binary 11110010111101010011000 (23 bits)
Octal 0o36275230
Hexadecimal 0x797A98

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 28,433 56,866 113,732 142,165 199,031 227,464 284,330 398,062 568,660 796,124 995,155 1,137,320 1,592,248 1,990,310 3,980,620 7,961,240

Collatz Trajectory (186 steps to reach 1)

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

7,961,240 3,980,620 1,990,310 995,155 2,985,466 1,492,733 4,478,200 2,239,100 1,119,550 559,775 1,679,326 839,663 2,518,990 1,259,495 3,778,486 1,889,243 5,667,730 2,833,865 8,501,596 4,250,798 2,125,399 6,376,198 3,188,099 9,564,298 4,782,149 14,346,448 7,173,224 3,586,612 1,793,306 896,653 2,689,960 1,344,980 672,490 336,245 1,008,736 504,368 252,184 126,092 63,046 31,523 94,570 47,285 141,856 70,928 35,464 17,732 8,866 4,433 13,300 6,650 3,325 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422

More profiles

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