λ
Sequence Observatory

9,093,916

22 × 13 × 179 × 977
Deficient Even Composite

Starting at 9,093,916, the Collatz iteration reaches 1 after 287 steps. The first transition is 4546958; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 179 × 977
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,251,920
Proper Divisor Sum 8,158,004
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9093871 ← → #9093919

Radix Representation

Decimal 9093916
Binary 100010101100001100011100 (24 bits)
Octal 0o42541434
Hexadecimal 0x8AC31C

Divisor Catalog (24)

1 2 4 13 26 52 179 358 716 977 1,954 2,327 3,908 4,654 9,308 12,701 25,402 50,804 174,883 349,766 699,532 2,273,479 4,546,958 9,093,916

Collatz Trajectory (287 steps to reach 1)

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

9,093,916 4,546,958 2,273,479 6,820,438 3,410,219 10,230,658 5,115,329 15,345,988 7,672,994 3,836,497 11,509,492 5,754,746 2,877,373 8,632,120 4,316,060 2,158,030 1,079,015 3,237,046 1,618,523 4,855,570 2,427,785 7,283,356 3,641,678 1,820,839 5,462,518 2,731,259 8,193,778 4,096,889 12,290,668 6,145,334 3,072,667 9,218,002 4,609,001 13,827,004 6,913,502 3,456,751 10,370,254 5,185,127 15,555,382 7,777,691 23,333,074 11,666,537 34,999,612 17,499,806 8,749,903 26,249,710 13,124,855 39,374,566 19,687,283 59,061,850 29,530,925 88,592,776 44,296,388 22,148,194 11,074,097 33,222,292 16,611,146 8,305,573 24,916,720 12,458,360

More profiles

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