1,697,670

2 × 3² × 5 × 13 × 1451

Starting at 1,697,670, the Collatz iteration reaches 1 after 127 steps. The first transition is 848835; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13 × 1451

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,756,752

Proper Divisor Sum 3,059,082

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1697651 ← → #1697677

Radix Representation

Decimal	1697670
Binary	110011110011110000110 (21 bits)
Octal	0o6363606
Hexadecimal	0x19E786

Divisor Catalog (48)

1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1,170 1,451 2,902 4,353 7,255 8,706 13,059 14,510 18,863 21,765 26,118 37,726 43,530 56,589 65,295 94,315 113,178 130,590 169,767 188,630 282,945 339,534 565,890 848,835 1,697,670

Collatz Trajectory (127 steps to reach 1)

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

1,697,670 848,835 2,546,506 1,273,253 3,819,760 1,909,880 954,940 477,470 238,735 716,206 358,103 1,074,310 537,155 1,611,466 805,733 2,417,200 1,208,600 604,300 302,150 151,075 453,226 226,613 679,840 339,920 169,960 84,980 42,490 21,245 63,736 31,868 15,934 7,967 23,902 11,951 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772

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