λ
Integer Codex

3,285,207

32 × 29 × 41 × 307
Deficient Odd Composite

For 3,285,207, the 24 positive divisors have a total of 5,045,040. Removing 3,285,207 leaves 1,759,833, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 29 × 41 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,045,040
Proper Divisor Sum 1,759,833
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3285203 ← → #3285229

Radix Representation

Decimal 3285207
Binary 1100100010000011010111 (22 bits)
Octal 0o14420327
Hexadecimal 0x3220D7

Divisor Catalog (24)

1 3 9 29 41 87 123 261 307 369 921 1,189 2,763 3,567 8,903 10,701 12,587 26,709 37,761 80,127 113,283 365,023 1,095,069 3,285,207

Collatz Trajectory (146 steps to reach 1)

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

3,285,207 9,855,622 4,927,811 14,783,434 7,391,717 22,175,152 11,087,576 5,543,788 2,771,894 1,385,947 4,157,842 2,078,921 6,236,764 3,118,382 1,559,191 4,677,574 2,338,787 7,016,362 3,508,181 10,524,544 5,262,272 2,631,136 1,315,568 657,784 328,892 164,446 82,223 246,670 123,335 370,006 185,003 555,010 277,505 832,516 416,258 208,129 624,388 312,194 156,097 468,292 234,146 117,073 351,220 175,610 87,805 263,416 131,708 65,854 32,927 98,782 49,391 148,174 74,087 222,262 111,131 333,394 166,697 500,092 250,046 125,023

More profiles

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