3,648,465

3² × 5 × 81077

For 3,648,465, the 12 positive divisors have a total of 6,324,084. Removing 3,648,465 leaves 2,675,619, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5 × 81077

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,324,084

Proper Divisor Sum 2,675,619

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3648451 ← → #3648479

Radix Representation

Decimal	3648465
Binary	1101111010101111010001 (22 bits)
Octal	0o15725721
Hexadecimal	0x37ABD1

Divisor Catalog (12)

1 3 5 9 15 45 81,077 243,231 405,385 729,693 1,216,155 3,648,465

Collatz Trajectory (110 steps to reach 1)

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

3,648,465 10,945,396 5,472,698 2,736,349 8,209,048 4,104,524 2,052,262 1,026,131 3,078,394 1,539,197 4,617,592 2,308,796 1,154,398 577,199 1,731,598 865,799 2,597,398 1,298,699 3,896,098 1,948,049 5,844,148 2,922,074 1,461,037 4,383,112 2,191,556 1,095,778 547,889 1,643,668 821,834 410,917 1,232,752 616,376 308,188 154,094 77,047 231,142 115,571 346,714 173,357 520,072 260,036 130,018 65,009 195,028 97,514 48,757 146,272 73,136 36,568 18,284 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146

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