λ
Sequence Observatory

4,421,327

83 × 53269
Deficient Odd Composite

Starting at 4,421,327, the Collatz iteration reaches 1 after 255 steps. The first transition is 13263982; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 83 × 53269
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,474,680
Proper Divisor Sum 53,353
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4421323 ← → #4421353

Radix Representation

Decimal 4421327
Binary 10000110111011011001111 (23 bits)
Octal 0o20673317
Hexadecimal 0x4376CF

Divisor Catalog (4)

1 83 53,269 4,421,327

Collatz Trajectory (255 steps to reach 1)

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

4,421,327 13,263,982 6,631,991 19,895,974 9,947,987 29,843,962 14,921,981 44,765,944 22,382,972 11,191,486 5,595,743 16,787,230 8,393,615 25,180,846 12,590,423 37,771,270 18,885,635 56,656,906 28,328,453 84,985,360 42,492,680 21,246,340 10,623,170 5,311,585 15,934,756 7,967,378 3,983,689 11,951,068 5,975,534 2,987,767 8,963,302 4,481,651 13,444,954 6,722,477 20,167,432 10,083,716 5,041,858 2,520,929 7,562,788 3,781,394 1,890,697 5,672,092 2,836,046 1,418,023 4,254,070 2,127,035 6,381,106 3,190,553 9,571,660 4,785,830 2,392,915 7,178,746 3,589,373 10,768,120 5,384,060 2,692,030 1,346,015 4,038,046 2,019,023 6,057,070

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