λ
Sigma Notebook

8,475,381

33 × 89 × 3527
Deficient Odd Composite

8,475,381 is odd and not a perfect square. Its factorization is 3^3 × 89 × 3527 and its 16 divisors sum to 12,700,800.

Prime Factor Structure

Factorization String 3^3 × 89 × 3527
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,700,800
Proper Divisor Sum 4,225,419
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8475377 ← → #8475391

Radix Representation

Decimal 8475381
Binary 100000010101001011110101 (24 bits)
Octal 0o40251365
Hexadecimal 0x8152F5

Divisor Catalog (16)

1 3 9 27 89 267 801 2,403 3,527 10,581 31,743 95,229 313,903 941,709 2,825,127 8,475,381

Collatz Trajectory (106 steps to reach 1)

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

8,475,381 25,426,144 12,713,072 6,356,536 3,178,268 1,589,134 794,567 2,383,702 1,191,851 3,575,554 1,787,777 5,363,332 2,681,666 1,340,833 4,022,500 2,011,250 1,005,625 3,016,876 1,508,438 754,219 2,262,658 1,131,329 3,393,988 1,696,994 848,497 2,545,492 1,272,746 636,373 1,909,120 954,560 477,280 238,640 119,320 59,660 29,830 14,915 44,746 22,373 67,120 33,560 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498

More profiles

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