416,449

11 × 17² × 131

416,449 factors as 11 × 17^2 × 131. Its 12 positive divisors give a proper-divisor sum of 69,839, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 11 × 17^2 × 131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 486,288

Proper Divisor Sum 69,839

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #416443 ← → #416459

Radix Representation

Decimal	416449
Binary	1100101101011000001 (19 bits)
Octal	0o1455301
Hexadecimal	0x65AC1

Divisor Catalog (12)

1 11 17 131 187 289 1,441 2,227 3,179 24,497 37,859 416,449

Collatz Trajectory (130 steps to reach 1)

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

416,449 1,249,348 624,674 312,337 937,012 468,506 234,253 702,760 351,380 175,690 87,845 263,536 131,768 65,884 32,942 16,471 49,414 24,707 74,122 37,061 111,184 55,592 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445

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