λ
Sequence Observatory

3,217,616

24 × 201101
Deficient Even Composite

Starting at 3,217,616, the Collatz iteration reaches 1 after 164 steps. The first transition is 1608808; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 201101
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 6,234,162
Proper Divisor Sum 3,016,546
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3217559 ← → #3217619

Radix Representation

Decimal 3217616
Binary 1100010001100011010000 (22 bits)
Octal 0o14214320
Hexadecimal 0x3118D0

Divisor Catalog (10)

1 2 4 8 16 201,101 402,202 804,404 1,608,808 3,217,616

Collatz Trajectory (164 steps to reach 1)

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

3,217,616 1,608,808 804,404 402,202 201,101 603,304 301,652 150,826 75,413 226,240 113,120 56,560 28,280 14,140 7,070 3,535 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568

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