225,465

3 × 5 × 15031

For 225,465, the 8 positive divisors have a total of 360,768. Removing 225,465 leaves 135,303, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 15031

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 360,768

Proper Divisor Sum 135,303

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #225461 ← → #225479

Radix Representation

Decimal	225465
Binary	110111000010111001 (18 bits)
Octal	0o670271
Hexadecimal	0x370B9

Divisor Catalog (8)

1 3 5 15 15,031 45,093 75,155 225,465

Collatz Trajectory (67 steps to reach 1)

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

225,465 676,396 338,198 169,099 507,298 253,649 760,948 380,474 190,237 570,712 285,356 142,678 71,339 214,018 107,009 321,028 160,514 80,257 240,772 120,386 60,193 180,580 90,290 45,145 135,436 67,718 33,859 101,578 50,789 152,368 76,184 38,092 19,046 9,523 28,570 14,285 42,856 21,428 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40

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