λ
Sequence Observatory

9,089,652

22 × 3 × 11 × 13 × 5297
Abundant Even Composite

Starting at 9,089,652, the Collatz iteration reaches 1 after 150 steps. The first transition is 4544826; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 13 × 5297
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,921,792
Proper Divisor Sum 15,832,140
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9089651 ← → #9089653

Radix Representation

Decimal 9089652
Binary 100010101011001001110100 (24 bits)
Octal 0o42531164
Hexadecimal 0x8AB274

Divisor Catalog (48)

1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1,716 5,297 10,594 15,891 21,188 31,782 58,267 63,564 68,861 116,534 137,722 174,801 206,583 233,068 275,444 349,602 413,166 699,204 757,471 826,332 1,514,942 2,272,413 3,029,884 4,544,826 9,089,652

Collatz Trajectory (150 steps to reach 1)

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

9,089,652 4,544,826 2,272,413 6,817,240 3,408,620 1,704,310 852,155 2,556,466 1,278,233 3,834,700 1,917,350 958,675 2,876,026 1,438,013 4,314,040 2,157,020 1,078,510 539,255 1,617,766 808,883 2,426,650 1,213,325 3,639,976 1,819,988 909,994 454,997 1,364,992 682,496 341,248 170,624 85,312 42,656 21,328 10,664 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274

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