λ
Sequence Observatory

2,847,141

32 × 11 × 28759
Deficient Odd Composite

Starting at 2,847,141, the Collatz iteration reaches 1 after 244 steps. The first transition is 8541424; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 28759
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,486,560
Proper Divisor Sum 1,639,419
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2847139 ← → #2847167

Radix Representation

Decimal 2847141
Binary 1010110111000110100101 (22 bits)
Octal 0o12670645
Hexadecimal 0x2B71A5

Divisor Catalog (12)

1 3 9 11 33 99 28,759 86,277 258,831 316,349 949,047 2,847,141

Collatz Trajectory (244 steps to reach 1)

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

2,847,141 8,541,424 4,270,712 2,135,356 1,067,678 533,839 1,601,518 800,759 2,402,278 1,201,139 3,603,418 1,801,709 5,405,128 2,702,564 1,351,282 675,641 2,026,924 1,013,462 506,731 1,520,194 760,097 2,280,292 1,140,146 570,073 1,710,220 855,110 427,555 1,282,666 641,333 1,924,000 962,000 481,000 240,500 120,250 60,125 180,376 90,188 45,094 22,547 67,642 33,821 101,464 50,732 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062

More profiles

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