1,727,962

2 × 127 × 6803

Starting at 1,727,962, the Collatz iteration reaches 1 after 189 steps. The first transition is 863981; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 127 × 6803

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,612,736

Proper Divisor Sum 884,774

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1727951 ← → #1727969

Radix Representation

Decimal	1727962
Binary	110100101110111011010 (21 bits)
Octal	0o6456732
Hexadecimal	0x1A5DDA

Divisor Catalog (8)

1 2 127 254 6,803 13,606 863,981 1,727,962

Collatz Trajectory (189 steps to reach 1)

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

1,727,962 863,981 2,591,944 1,295,972 647,986 323,993 971,980 485,990 242,995 728,986 364,493 1,093,480 546,740 273,370 136,685 410,056 205,028 102,514 51,257 153,772 76,886 38,443 115,330 57,665 172,996 86,498 43,249 129,748 64,874 32,437 97,312 48,656 24,328 12,164 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829

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