λ
Sequence Observatory

1,692,945

32 × 5 × 17 × 2213
Deficient Odd Composite

Starting at 1,692,945, the Collatz iteration reaches 1 after 145 steps. The first transition is 5078836; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 2213
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,108,456
Proper Divisor Sum 1,415,511
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1692917 ← → #1692947

Radix Representation

Decimal 1692945
Binary 110011101010100010001 (21 bits)
Octal 0o6352421
Hexadecimal 0x19D511

Divisor Catalog (24)

1 3 5 9 15 17 45 51 85 153 255 765 2,213 6,639 11,065 19,917 33,195 37,621 99,585 112,863 188,105 338,589 564,315 1,692,945

Collatz Trajectory (145 steps to reach 1)

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

1,692,945 5,078,836 2,539,418 1,269,709 3,809,128 1,904,564 952,282 476,141 1,428,424 714,212 357,106 178,553 535,660 267,830 133,915 401,746 200,873 602,620 301,310 150,655 451,966 225,983 677,950 338,975 1,016,926 508,463 1,525,390 762,695 2,288,086 1,144,043 3,432,130 1,716,065 5,148,196 2,574,098 1,287,049 3,861,148 1,930,574 965,287 2,895,862 1,447,931 4,343,794 2,171,897 6,515,692 3,257,846 1,628,923 4,886,770 2,443,385 7,330,156 3,665,078 1,832,539 5,497,618 2,748,809 8,246,428 4,123,214 2,061,607 6,184,822 3,092,411 9,277,234 4,638,617 13,915,852

More profiles

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