1,663,548

2² × 3 × 138629

Starting at 1,663,548, the Collatz iteration reaches 1 after 114 steps. The first transition is 831774; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 138629

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,881,640

Proper Divisor Sum 2,218,092

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1663547 ← → #1663549

Radix Representation

Decimal	1663548
Binary	110010110001000111100 (21 bits)
Octal	0o6261074
Hexadecimal	0x19623C

Divisor Catalog (12)

1 2 3 4 6 12 138,629 277,258 415,887 554,516 831,774 1,663,548

Collatz Trajectory (114 steps to reach 1)

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

1,663,548 831,774 415,887 1,247,662 623,831 1,871,494 935,747 2,807,242 1,403,621 4,210,864 2,105,432 1,052,716 526,358 263,179 789,538 394,769 1,184,308 592,154 296,077 888,232 444,116 222,058 111,029 333,088 166,544 83,272 41,636 20,818 10,409 31,228 15,614 7,807 23,422 11,711 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937 266,812 133,406 66,703 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317

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