λ
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4,339,044

22 × 32 × 43 × 2803
Abundant Even Composite

4,339,044 factors as 2^2 × 3^2 × 43 × 2803. Its 36 positive divisors give a proper-divisor sum of 6,888,172, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 43 × 2803
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,227,216
Proper Divisor Sum 6,888,172
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4339043 ← → #4339073

Radix Representation

Decimal 4339044
Binary 10000100011010101100100 (23 bits)
Octal 0o20432544
Hexadecimal 0x423564

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1,548 2,803 5,606 8,409 11,212 16,818 25,227 33,636 50,454 100,908 120,529 241,058 361,587 482,116 723,174 1,084,761 1,446,348 2,169,522 4,339,044

Collatz Trajectory (66 steps to reach 1)

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

4,339,044 2,169,522 1,084,761 3,254,284 1,627,142 813,571 2,440,714 1,220,357 3,661,072 1,830,536 915,268 457,634 228,817 686,452 343,226 171,613 514,840 257,420 128,710 64,355 193,066 96,533 289,600 144,800 72,400 36,200 18,100 9,050 4,525 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128

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