λ
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806,575

52 × 7 × 11 × 419
Deficient Odd Composite

806,575 factors as 5^2 × 7 × 11 × 419. Its 24 positive divisors give a proper-divisor sum of 443,345, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 11 × 419
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,249,920
Proper Divisor Sum 443,345
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #806549 ← → #806579

Radix Representation

Decimal 806575
Binary 11000100111010101111 (20 bits)
Octal 0o3047257
Hexadecimal 0xC4EAF

Divisor Catalog (24)

1 5 7 11 25 35 55 77 175 275 385 419 1,925 2,095 2,933 4,609 10,475 14,665 23,045 32,263 73,325 115,225 161,315 806,575

Collatz Trajectory (193 steps to reach 1)

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

806,575 2,419,726 1,209,863 3,629,590 1,814,795 5,444,386 2,722,193 8,166,580 4,083,290 2,041,645 6,124,936 3,062,468 1,531,234 765,617 2,296,852 1,148,426 574,213 1,722,640 861,320 430,660 215,330 107,665 322,996 161,498 80,749 242,248 121,124 60,562 30,281 90,844 45,422 22,711 68,134 34,067 102,202 51,101 153,304 76,652 38,326 19,163 57,490 28,745 86,236 43,118 21,559 64,678 32,339 97,018 48,509 145,528 72,764 36,382 18,191 54,574 27,287 81,862 40,931 122,794 61,397 184,192

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