1,577,895

3 × 5 × 11 × 73 × 131

Starting at 1,577,895, the Collatz iteration reaches 1 after 207 steps. The first transition is 4733686; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 73 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,813,184

Proper Divisor Sum 1,235,289

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #1577879 ← → #1577897

Radix Representation

Decimal	1577895
Binary	110000001001110100111 (21 bits)
Octal	0o6011647
Hexadecimal	0x1813A7

Divisor Catalog (32)

1 3 5 11 15 33 55 73 131 165 219 365 393 655 803 1,095 1,441 1,965 2,409 4,015 4,323 7,205 9,563 12,045 21,615 28,689 47,815 105,193 143,445 315,579 525,965 1,577,895

Collatz Trajectory (207 steps to reach 1)

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

1,577,895 4,733,686 2,366,843 7,100,530 3,550,265 10,650,796 5,325,398 2,662,699 7,988,098 3,994,049 11,982,148 5,991,074 2,995,537 8,986,612 4,493,306 2,246,653 6,739,960 3,369,980 1,684,990 842,495 2,527,486 1,263,743 3,791,230 1,895,615 5,686,846 2,843,423 8,530,270 4,265,135 12,795,406 6,397,703 19,193,110 9,596,555 28,789,666 14,394,833 43,184,500 21,592,250 10,796,125 32,388,376 16,194,188 8,097,094 4,048,547 12,145,642 6,072,821 18,218,464 9,109,232 4,554,616 2,277,308 1,138,654 569,327 1,707,982 853,991 2,561,974 1,280,987 3,842,962 1,921,481 5,764,444 2,882,222 1,441,111 4,323,334 2,161,667

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