λ
Sequence Observatory

3,634,585

5 × 726917
Deficient Odd Composite

Starting at 3,634,585, the Collatz iteration reaches 1 after 172 steps. The first transition is 10903756; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 726917
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,361,508
Proper Divisor Sum 726,923
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3634571 ← → #3634591

Radix Representation

Decimal 3634585
Binary 1101110111010110011001 (22 bits)
Octal 0o15672631
Hexadecimal 0x377599

Divisor Catalog (4)

1 5 726,917 3,634,585

Collatz Trajectory (172 steps to reach 1)

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

3,634,585 10,903,756 5,451,878 2,725,939 8,177,818 4,088,909 12,266,728 6,133,364 3,066,682 1,533,341 4,600,024 2,300,012 1,150,006 575,003 1,725,010 862,505 2,587,516 1,293,758 646,879 1,940,638 970,319 2,910,958 1,455,479 4,366,438 2,183,219 6,549,658 3,274,829 9,824,488 4,912,244 2,456,122 1,228,061 3,684,184 1,842,092 921,046 460,523 1,381,570 690,785 2,072,356 1,036,178 518,089 1,554,268 777,134 388,567 1,165,702 582,851 1,748,554 874,277 2,622,832 1,311,416 655,708 327,854 163,927 491,782 245,891 737,674 368,837 1,106,512 553,256 276,628 138,314

More profiles

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