λ
Sequence Observatory

9,012,375

32 × 53 × 8011
Deficient Odd Composite

Starting at 9,012,375, the Collatz iteration reaches 1 after 150 steps. The first transition is 27037126; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 8011
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,248,336
Proper Divisor Sum 7,235,961
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9012337 ← → #9012383

Radix Representation

Decimal 9012375
Binary 100010011000010010010111 (24 bits)
Octal 0o42302227
Hexadecimal 0x898497

Divisor Catalog (24)

1 3 5 9 15 25 45 75 125 225 375 1,125 8,011 24,033 40,055 72,099 120,165 200,275 360,495 600,825 1,001,375 1,802,475 3,004,125 9,012,375

Collatz Trajectory (150 steps to reach 1)

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

9,012,375 27,037,126 13,518,563 40,555,690 20,277,845 60,833,536 30,416,768 15,208,384 7,604,192 3,802,096 1,901,048 950,524 475,262 237,631 712,894 356,447 1,069,342 534,671 1,604,014 802,007 2,406,022 1,203,011 3,609,034 1,804,517 5,413,552 2,706,776 1,353,388 676,694 338,347 1,015,042 507,521 1,522,564 761,282 380,641 1,141,924 570,962 285,481 856,444 428,222 214,111 642,334 321,167 963,502 481,751 1,445,254 722,627 2,167,882 1,083,941 3,251,824 1,625,912 812,956 406,478 203,239 609,718 304,859 914,578 457,289 1,371,868 685,934 342,967

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