8,241,088

2⁶ × 128767

8,241,088 is even and not a perfect square. Its factorization is 2^6 × 128767 and its 14 divisors sum to 16,353,536.

Prime Factor Structure

Factorization String 2^6 × 128767

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 16,353,536

Proper Divisor Sum 8,112,448

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8241019 ← → #8241091

Radix Representation

Decimal	8241088
Binary	11111011011111111000000 (23 bits)
Octal	0o37337700
Hexadecimal	0x7DBFC0

Divisor Catalog (14)

1 2 4 8 16 32 64 128,767 257,534 515,068 1,030,136 2,060,272 4,120,544 8,241,088

Collatz Trajectory (217 steps to reach 1)

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

8,241,088 4,120,544 2,060,272 1,030,136 515,068 257,534 128,767 386,302 193,151 579,454 289,727 869,182 434,591 1,303,774 651,887 1,955,662 977,831 2,933,494 1,466,747 4,400,242 2,200,121 6,600,364 3,300,182 1,650,091 4,950,274 2,475,137 7,425,412 3,712,706 1,856,353 5,569,060 2,784,530 1,392,265 4,176,796 2,088,398 1,044,199 3,132,598 1,566,299 4,698,898 2,349,449 7,048,348 3,524,174 1,762,087 5,286,262 2,643,131 7,929,394 3,964,697 11,894,092 5,947,046 2,973,523 8,920,570 4,460,285 13,380,856 6,690,428 3,345,214 1,672,607 5,017,822 2,508,911 7,526,734 3,763,367 11,290,102

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