λ
Sequence Observatory

9,243,615

3 × 5 × 97 × 6353
Deficient Odd Composite

Starting at 9,243,615, the Collatz iteration reaches 1 after 225 steps. The first transition is 27730846; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 97 × 6353
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,944,608
Proper Divisor Sum 5,700,993
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9243613 ← → #9243649

Radix Representation

Decimal 9243615
Binary 100011010000101111011111 (24 bits)
Octal 0o43205737
Hexadecimal 0x8D0BDF

Divisor Catalog (16)

1 3 5 15 97 291 485 1,455 6,353 19,059 31,765 95,295 616,241 1,848,723 3,081,205 9,243,615

Collatz Trajectory (225 steps to reach 1)

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

9,243,615 27,730,846 13,865,423 41,596,270 20,798,135 62,394,406 31,197,203 93,591,610 46,795,805 140,387,416 70,193,708 35,096,854 17,548,427 52,645,282 26,322,641 78,967,924 39,483,962 19,741,981 59,225,944 29,612,972 14,806,486 7,403,243 22,209,730 11,104,865 33,314,596 16,657,298 8,328,649 24,985,948 12,492,974 6,246,487 18,739,462 9,369,731 28,109,194 14,054,597 42,163,792 21,081,896 10,540,948 5,270,474 2,635,237 7,905,712 3,952,856 1,976,428 988,214 494,107 1,482,322 741,161 2,223,484 1,111,742 555,871 1,667,614 833,807 2,501,422 1,250,711 3,752,134 1,876,067 5,628,202 2,814,101 8,442,304 4,221,152 2,110,576

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