550,585

5 × 7 × 15731

Starting at 550,585, the Collatz iteration reaches 1 after 208 steps. The first transition is 1651756; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 15731

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 755,136

Proper Divisor Sum 204,551

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #550577 ← → #550607

Radix Representation

Decimal	550585
Binary	10000110011010111001 (20 bits)
Octal	0o2063271
Hexadecimal	0x866B9

Divisor Catalog (8)

1 5 7 35 15,731 78,655 110,117 550,585

Collatz Trajectory (208 steps to reach 1)

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

550,585 1,651,756 825,878 412,939 1,238,818 619,409 1,858,228 929,114 464,557 1,393,672 696,836 348,418 174,209 522,628 261,314 130,657 391,972 195,986 97,993 293,980 146,990 73,495 220,486 110,243 330,730 165,365 496,096 248,048 124,024 62,012 31,006 15,503 46,510 23,255 69,766 34,883 104,650 52,325 156,976 78,488 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493

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