398,563

11 × 19 × 1907

Starting at 398,563, the Collatz iteration reaches 1 after 99 steps. The first transition is 1195690; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 19 × 1907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 457,920

Proper Divisor Sum 59,357

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #398557 ← → #398569

Radix Representation

Decimal	398563
Binary	1100001010011100011 (19 bits)
Octal	0o1412343
Hexadecimal	0x614E3

Divisor Catalog (8)

1 11 19 209 1,907 20,977 36,233 398,563

Collatz Trajectory (99 steps to reach 1)

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

398,563 1,195,690 597,845 1,793,536 896,768 448,384 224,192 112,096 56,048 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531

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