8,414,940

2² × 3 × 5 × 140249

8,414,940 has the prime decomposition 2^2 × 3 × 5 × 140249. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 140249

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,562,000

Proper Divisor Sum 15,147,060

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8414911 ← → #8414957

Radix Representation

Decimal	8414940
Binary	100000000110011011011100 (24 bits)
Octal	0o40063334
Hexadecimal	0x8066DC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 140,249 280,498 420,747 560,996 701,245 841,494 1,402,490 1,682,988 2,103,735 2,804,980 4,207,470 8,414,940

Collatz Trajectory (168 steps to reach 1)

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

8,414,940 4,207,470 2,103,735 6,311,206 3,155,603 9,466,810 4,733,405 14,200,216 7,100,108 3,550,054 1,775,027 5,325,082 2,662,541 7,987,624 3,993,812 1,996,906 998,453 2,995,360 1,497,680 748,840 374,420 187,210 93,605 280,816 140,408 70,204 35,102 17,551 52,654 26,327 78,982 39,491 118,474 59,237 177,712 88,856 44,428 22,214 11,107 33,322 16,661 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110 55 166 83 250

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