8,501,430

2 × 3 × 5 × 7 × 40483

8,501,430 factors as 2 × 3 × 5 × 7 × 40483. Its 32 positive divisors give a proper-divisor sum of 14,817,354, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 40483

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 23,318,784

Proper Divisor Sum 14,817,354

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8501399 ← → #8501431

Radix Representation

Decimal	8501430
Binary	100000011011100010110110 (24 bits)
Octal	0o40334266
Hexadecimal	0x81B8B6

Divisor Catalog (32)

Collatz Trajectory (106 steps to reach 1)

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

8,501,430 4,250,715 12,752,146 6,376,073 19,128,220 9,564,110 4,782,055 14,346,166 7,173,083 21,519,250 10,759,625 32,278,876 16,139,438 8,069,719 24,209,158 12,104,579 36,313,738 18,156,869 54,470,608 27,235,304 13,617,652 6,808,826 3,404,413 10,213,240 5,106,620 2,553,310 1,276,655 3,829,966 1,914,983 5,744,950 2,872,475 8,617,426 4,308,713 12,926,140 6,463,070 3,231,535 9,694,606 4,847,303 14,541,910 7,270,955 21,812,866 10,906,433 32,719,300 16,359,650 8,179,825 24,539,476 12,269,738 6,134,869 18,404,608 9,202,304 4,601,152 2,300,576 1,150,288 575,144 287,572 143,786 71,893 215,680 107,840 53,920

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