240,465

3 × 5 × 17 × 23 × 41

For 240,465, the 32 positive divisors have a total of 435,456. Removing 240,465 leaves 194,991, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 23 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 435,456

Proper Divisor Sum 194,991

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #240437 ← → #240473

Radix Representation

Decimal	240465
Binary	111010101101010001 (18 bits)
Octal	0o725521
Hexadecimal	0x3AB51

Divisor Catalog (32)

1 3 5 15 17 23 41 51 69 85 115 123 205 255 345 391 615 697 943 1,173 1,955 2,091 2,829 3,485 4,715 5,865 10,455 14,145 16,031 48,093 80,155 240,465

Collatz Trajectory (212 steps to reach 1)

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

240,465 721,396 360,698 180,349 541,048 270,524 135,262 67,631 202,894 101,447 304,342 152,171 456,514 228,257 684,772 342,386 171,193 513,580 256,790 128,395 385,186 192,593 577,780 288,890 144,445 433,336 216,668 108,334 54,167 162,502 81,251 243,754 121,877 365,632 182,816 91,408 45,704 22,852 11,426 5,713 17,140 8,570 4,285 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160

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