3,815,204

2² × 97 × 9833

3,815,204 factors as 2^2 × 97 × 9833. Its 12 positive divisors give a proper-divisor sum of 2,930,920, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^2 × 97 × 9833

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,746,124

Proper Divisor Sum 2,930,920

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3815197 ← → #3815209

Radix Representation

Decimal	3815204
Binary	1110100011011100100100 (22 bits)
Octal	0o16433444
Hexadecimal	0x3A3724

Divisor Catalog (12)

1 2 4 97 194 388 9,833 19,666 39,332 953,801 1,907,602 3,815,204

Collatz Trajectory (172 steps to reach 1)

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

3,815,204 1,907,602 953,801 2,861,404 1,430,702 715,351 2,146,054 1,073,027 3,219,082 1,609,541 4,828,624 2,414,312 1,207,156 603,578 301,789 905,368 452,684 226,342 113,171 339,514 169,757 509,272 254,636 127,318 63,659 190,978 95,489 286,468 143,234 71,617 214,852 107,426 53,713 161,140 80,570 40,285 120,856 60,428 30,214 15,107 45,322 22,661 67,984 33,992 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036

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