λ
Sequence Observatory

2,863,956

22 × 3 × 17 × 101 × 139
Abundant Even Composite

Starting at 2,863,956, the Collatz iteration reaches 1 after 76 steps. The first transition is 1431978; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 101 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,197,120
Proper Divisor Sum 4,333,164
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2863951 ← → #2863967

Radix Representation

Decimal 2863956
Binary 1010111011001101010100 (22 bits)
Octal 0o12731524
Hexadecimal 0x2BB354

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 68 101 102 139 202 204 278 303 404 417 556 606 834 1,212 1,668 1,717 2,363 3,434 4,726 5,151 6,868 7,089 9,452 10,302 14,039 14,178 20,604 28,078 28,356 42,117 56,156 84,234 168,468 238,663 477,326 715,989 954,652 1,431,978 2,863,956

Collatz Trajectory (76 steps to reach 1)

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

2,863,956 1,431,978 715,989 2,147,968 1,073,984 536,992 268,496 134,248 67,124 33,562 16,781 50,344 25,172 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88

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