λ
Sequence Observatory

4,402,162

2 × 197 × 11173
Deficient Even Composite

Starting at 4,402,162, the Collatz iteration reaches 1 after 87 steps. The first transition is 2201081; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 197 × 11173
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,637,356
Proper Divisor Sum 2,235,194
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4402159 ← → #4402169

Radix Representation

Decimal 4402162
Binary 10000110010101111110010 (23 bits)
Octal 0o20625762
Hexadecimal 0x432BF2

Divisor Catalog (8)

1 2 197 394 11,173 22,346 2,201,081 4,402,162

Collatz Trajectory (87 steps to reach 1)

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

4,402,162 2,201,081 6,603,244 3,301,622 1,650,811 4,952,434 2,476,217 7,428,652 3,714,326 1,857,163 5,571,490 2,785,745 8,357,236 4,178,618 2,089,309 6,267,928 3,133,964 1,566,982 783,491 2,350,474 1,175,237 3,525,712 1,762,856 881,428 440,714 220,357 661,072 330,536 165,268 82,634 41,317 123,952 61,976 30,988 15,494 7,747 23,242 11,621 34,864 17,432 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130

More profiles

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