λ
Sequence Observatory

6,701,535

34 × 5 × 16547
Deficient Odd Composite

Starting at 6,701,535, the Collatz iteration reaches 1 after 297 steps. The first transition is 20104606; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5 × 16547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,013,848
Proper Divisor Sum 5,312,313
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6701483 ← → #6701537

Radix Representation

Decimal 6701535
Binary 11001100100000111011111 (23 bits)
Octal 0o31440737
Hexadecimal 0x6641DF

Divisor Catalog (20)

1 3 5 9 15 27 45 81 135 405 16,547 49,641 82,735 148,923 248,205 446,769 744,615 1,340,307 2,233,845 6,701,535

Collatz Trajectory (297 steps to reach 1)

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

6,701,535 20,104,606 10,052,303 30,156,910 15,078,455 45,235,366 22,617,683 67,853,050 33,926,525 101,779,576 50,889,788 25,444,894 12,722,447 38,167,342 19,083,671 57,251,014 28,625,507 85,876,522 42,938,261 128,814,784 64,407,392 32,203,696 16,101,848 8,050,924 4,025,462 2,012,731 6,038,194 3,019,097 9,057,292 4,528,646 2,264,323 6,792,970 3,396,485 10,189,456 5,094,728 2,547,364 1,273,682 636,841 1,910,524 955,262 477,631 1,432,894 716,447 2,149,342 1,074,671 3,224,014 1,612,007 4,836,022 2,418,011 7,254,034 3,627,017 10,881,052 5,440,526 2,720,263 8,160,790 4,080,395 12,241,186 6,120,593 18,361,780 9,180,890

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