λ
Sequence Observatory

9,501,285

3 × 5 × 47 × 13477
Deficient Odd Composite

Starting at 9,501,285, the Collatz iteration reaches 1 after 101 steps. The first transition is 28503856; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 47 × 13477
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,526,656
Proper Divisor Sum 6,025,371
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9501281 ← → #9501287

Radix Representation

Decimal 9501285
Binary 100100001111101001100101 (24 bits)
Octal 0o44175145
Hexadecimal 0x90FA65

Divisor Catalog (16)

1 3 5 15 47 141 235 705 13,477 40,431 67,385 202,155 633,419 1,900,257 3,167,095 9,501,285

Collatz Trajectory (101 steps to reach 1)

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

9,501,285 28,503,856 14,251,928 7,125,964 3,562,982 1,781,491 5,344,474 2,672,237 8,016,712 4,008,356 2,004,178 1,002,089 3,006,268 1,503,134 751,567 2,254,702 1,127,351 3,382,054 1,691,027 5,073,082 2,536,541 7,609,624 3,804,812 1,902,406 951,203 2,853,610 1,426,805 4,280,416 2,140,208 1,070,104 535,052 267,526 133,763 401,290 200,645 601,936 300,968 150,484 75,242 37,621 112,864 56,432 28,216 14,108 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048

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