8,198,421

3 × 7 × 11 × 35491

For 8,198,421, the 16 positive divisors have a total of 13,628,928. Removing 8,198,421 leaves 5,430,507, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 35491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,628,928

Proper Divisor Sum 5,430,507

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8198389 ← → #8198459

Radix Representation

Decimal	8198421
Binary	11111010001100100010101 (23 bits)
Octal	0o37214425
Hexadecimal	0x7D1915

Divisor Catalog (16)

1 3 7 11 21 33 77 231 35,491 106,473 248,437 390,401 745,311 1,171,203 2,732,807 8,198,421

Collatz Trajectory (54 steps to reach 1)

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

8,198,421 24,595,264 12,297,632 6,148,816 3,074,408 1,537,204 768,602 384,301 1,152,904 576,452 288,226 144,113 432,340 216,170 108,085 324,256 162,128 81,064 40,532 20,266 10,133 30,400 15,200 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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