λ
Sequence Observatory

2,961,402

2 × 3 × 493567
Abundant Even Composite

Starting at 2,961,402, the Collatz iteration reaches 1 after 332 steps. The first transition is 1480701; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 493567
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,922,816
Proper Divisor Sum 2,961,414
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2961377 ← → #2961433

Radix Representation

Decimal 2961402
Binary 1011010010111111111010 (22 bits)
Octal 0o13227772
Hexadecimal 0x2D2FFA

Divisor Catalog (8)

1 2 3 6 493,567 987,134 1,480,701 2,961,402

Collatz Trajectory (332 steps to reach 1)

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

2,961,402 1,480,701 4,442,104 2,221,052 1,110,526 555,263 1,665,790 832,895 2,498,686 1,249,343 3,748,030 1,874,015 5,622,046 2,811,023 8,433,070 4,216,535 12,649,606 6,324,803 18,974,410 9,487,205 28,461,616 14,230,808 7,115,404 3,557,702 1,778,851 5,336,554 2,668,277 8,004,832 4,002,416 2,001,208 1,000,604 500,302 250,151 750,454 375,227 1,125,682 562,841 1,688,524 844,262 422,131 1,266,394 633,197 1,899,592 949,796 474,898 237,449 712,348 356,174 178,087 534,262 267,131 801,394 400,697 1,202,092 601,046 300,523 901,570 450,785 1,352,356 676,178

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