λ
Sequence Observatory
Atlas › Integer Profiles › Node 3,912,462

3,912,462

2 × 34 × 24151
Abundant Even Composite

Starting at 3,912,462, the Collatz iteration reaches 1 after 92 steps. The first transition is 1956231; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 24151
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,767,176
Proper Divisor Sum 4,854,714
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3912457 ← → #3912463

Radix Representation

Decimal 3912462
Binary 1110111011001100001110 (22 bits)
Octal 0o16731416
Hexadecimal 0x3BB30E

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 24,151 48,302 72,453 144,906 217,359 434,718 652,077 1,304,154 1,956,231 3,912,462

Collatz Trajectory (92 steps to reach 1)

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

3,912,462 1,956,231 5,868,694 2,934,347 8,803,042 4,401,521 13,204,564 6,602,282 3,301,141 9,903,424 4,951,712 2,475,856 1,237,928 618,964 309,482 154,741 464,224 232,112 116,056 58,028 29,014 14,507 43,522 21,761 65,284 32,642 16,321 48,964 24,482 12,241 36,724 18,362 9,181 27,544 13,772 6,886 3,443 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692

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