λ
Integer Codex

3,203,471

67 × 137 × 349
Deficient Odd Composite

For 3,203,471, the 8 positive divisors have a total of 3,284,400. Removing 3,203,471 leaves 80,929, which gives the deficient classification.

Prime Factor Structure

Factorization String 67 × 137 × 349
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,284,400
Proper Divisor Sum 80,929
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3203467 ← → #3203477

Radix Representation

Decimal 3203471
Binary 1100001110000110001111 (22 bits)
Octal 0o14160617
Hexadecimal 0x30E18F

Divisor Catalog (8)

1 67 137 349 9,179 23,383 47,813 3,203,471

Collatz Trajectory (120 steps to reach 1)

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

3,203,471 9,610,414 4,805,207 14,415,622 7,207,811 21,623,434 10,811,717 32,435,152 16,217,576 8,108,788 4,054,394 2,027,197 6,081,592 3,040,796 1,520,398 760,199 2,280,598 1,140,299 3,420,898 1,710,449 5,131,348 2,565,674 1,282,837 3,848,512 1,924,256 962,128 481,064 240,532 120,266 60,133 180,400 90,200 45,100 22,550 11,275 33,826 16,913 50,740 25,370 12,685 38,056 19,028 9,514 4,757 14,272 7,136 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400

More profiles

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