λ
Sequence Observatory

4,428,916

22 × 863 × 1283
Deficient Even Composite

Starting at 4,428,916, the Collatz iteration reaches 1 after 105 steps. The first transition is 2214458; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 863 × 1283
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,765,632
Proper Divisor Sum 3,336,716
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4428913 ← → #4428917

Radix Representation

Decimal 4428916
Binary 10000111001010001110100 (23 bits)
Octal 0o20712164
Hexadecimal 0x439474

Divisor Catalog (12)

1 2 4 863 1,283 1,726 2,566 3,452 5,132 1,107,229 2,214,458 4,428,916

Collatz Trajectory (105 steps to reach 1)

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

4,428,916 2,214,458 1,107,229 3,321,688 1,660,844 830,422 415,211 1,245,634 622,817 1,868,452 934,226 467,113 1,401,340 700,670 350,335 1,051,006 525,503 1,576,510 788,255 2,364,766 1,182,383 3,547,150 1,773,575 5,320,726 2,660,363 7,981,090 3,990,545 11,971,636 5,985,818 2,992,909 8,978,728 4,489,364 2,244,682 1,122,341 3,367,024 1,683,512 841,756 420,878 210,439 631,318 315,659 946,978 473,489 1,420,468 710,234 355,117 1,065,352 532,676 266,338 133,169 399,508 199,754 99,877 299,632 149,816 74,908 37,454 18,727 56,182 28,091

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