λ
Sequence Observatory

2,906,103

3 × 211 × 4591
Deficient Odd Composite

Starting at 2,906,103, the Collatz iteration reaches 1 after 182 steps. The first transition is 8718310; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 211 × 4591
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,894,016
Proper Divisor Sum 987,913
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2906089 ← → #2906129

Radix Representation

Decimal 2906103
Binary 1011000101011111110111 (22 bits)
Octal 0o13053767
Hexadecimal 0x2C57F7

Divisor Catalog (8)

1 3 211 633 4,591 13,773 968,701 2,906,103

Collatz Trajectory (182 steps to reach 1)

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

2,906,103 8,718,310 4,359,155 13,077,466 6,538,733 19,616,200 9,808,100 4,904,050 2,452,025 7,356,076 3,678,038 1,839,019 5,517,058 2,758,529 8,275,588 4,137,794 2,068,897 6,206,692 3,103,346 1,551,673 4,655,020 2,327,510 1,163,755 3,491,266 1,745,633 5,236,900 2,618,450 1,309,225 3,927,676 1,963,838 981,919 2,945,758 1,472,879 4,418,638 2,209,319 6,627,958 3,313,979 9,941,938 4,970,969 14,912,908 7,456,454 3,728,227 11,184,682 5,592,341 16,777,024 8,388,512 4,194,256 2,097,128 1,048,564 524,282 262,141 786,424 393,212 196,606 98,303 294,910 147,455 442,366 221,183 663,550

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