1,719,465

3 × 5 × 11 × 17 × 613

Starting at 1,719,465, the Collatz iteration reaches 1 after 220 steps. The first transition is 5158396; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 17 × 613

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,182,976

Proper Divisor Sum 1,463,511

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1719451 ← → #1719469

Radix Representation

Decimal	1719465
Binary	110100011110010101001 (21 bits)
Octal	0o6436251
Hexadecimal	0x1A3CA9

Divisor Catalog (32)

1 3 5 11 15 17 33 51 55 85 165 187 255 561 613 935 1,839 2,805 3,065 6,743 9,195 10,421 20,229 31,263 33,715 52,105 101,145 114,631 156,315 343,893 573,155 1,719,465

Collatz Trajectory (220 steps to reach 1)

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

1,719,465 5,158,396 2,579,198 1,289,599 3,868,798 1,934,399 5,803,198 2,901,599 8,704,798 4,352,399 13,057,198 6,528,599 19,585,798 9,792,899 29,378,698 14,689,349 44,068,048 22,034,024 11,017,012 5,508,506 2,754,253 8,262,760 4,131,380 2,065,690 1,032,845 3,098,536 1,549,268 774,634 387,317 1,161,952 580,976 290,488 145,244 72,622 36,311 108,934 54,467 163,402 81,701 245,104 122,552 61,276 30,638 15,319 45,958 22,979 68,938 34,469 103,408 51,704 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630 21,815 65,446

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