λ
Modular Archive

225,405

32 × 5 × 5009
Deficient Odd Composite

The decimal integer 225,405 is 110111000001111101 in binary (18 bits), 670175 in octal and 3707D in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 3^2 × 5 × 5009
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 390,780
Proper Divisor Sum 165,375
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #225383 ← → #225427

Radix Representation

Decimal 225405
Binary 110111000001111101 (18 bits)
Octal 0o670175
Hexadecimal 0x3707D

Divisor Catalog (12)

1 3 5 9 15 45 5,009 15,027 25,045 45,081 75,135 225,405

Collatz Trajectory (137 steps to reach 1)

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

225,405 676,216 338,108 169,054 84,527 253,582 126,791 380,374 190,187 570,562 285,281 855,844 427,922 213,961 641,884 320,942 160,471 481,414 240,707 722,122 361,061 1,083,184 541,592 270,796 135,398 67,699 203,098 101,549 304,648 152,324 76,162 38,081 114,244 57,122 28,561 85,684 42,842 21,421 64,264 32,132 16,066 8,033 24,100 12,050 6,025 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581

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