406,076

2² × 11² × 839

406,076 factors as 2^2 × 11^2 × 839. Its 18 positive divisors give a proper-divisor sum of 375,964, so this integer is deficient. The Collatz stopping time is 267 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 839

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 782,040

Proper Divisor Sum 375,964

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #406073 ← → #406093

Radix Representation

Decimal	406076
Binary	1100011001000111100 (19 bits)
Octal	0o1431074
Hexadecimal	0x6323C

Divisor Catalog (18)

1 2 4 11 22 44 121 242 484 839 1,678 3,356 9,229 18,458 36,916 101,519 203,038 406,076

Collatz Trajectory (267 steps to reach 1)

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

406,076 203,038 101,519 304,558 152,279 456,838 228,419 685,258 342,629 1,027,888 513,944 256,972 128,486 64,243 192,730 96,365 289,096 144,548 72,274 36,137 108,412 54,206 27,103 81,310 40,655 121,966 60,983 182,950 91,475 274,426 137,213 411,640 205,820 102,910 51,455 154,366 77,183 231,550 115,775 347,326 173,663 520,990 260,495 781,486 390,743 1,172,230 586,115 1,758,346 879,173 2,637,520 1,318,760 659,380 329,690 164,845 494,536 247,268 123,634 61,817 185,452 92,726

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