λ
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4,354,548

22 × 3 × 112 × 2999
Abundant Even Composite

4,354,548 factors as 2^2 × 3 × 11^2 × 2999. Its 36 positive divisors give a proper-divisor sum of 6,817,452, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11^2 × 2999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,172,000
Proper Divisor Sum 6,817,452
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4354547 ← → #4354549

Radix Representation

Decimal 4354548
Binary 10000100111000111110100 (23 bits)
Octal 0o20470764
Hexadecimal 0x4271F4

Divisor Catalog (36)

1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1,452 2,999 5,998 8,997 11,996 17,994 32,989 35,988 65,978 98,967 131,956 197,934 362,879 395,868 725,758 1,088,637 1,451,516 2,177,274 4,354,548

Collatz Trajectory (242 steps to reach 1)

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

4,354,548 2,177,274 1,088,637 3,265,912 1,632,956 816,478 408,239 1,224,718 612,359 1,837,078 918,539 2,755,618 1,377,809 4,133,428 2,066,714 1,033,357 3,100,072 1,550,036 775,018 387,509 1,162,528 581,264 290,632 145,316 72,658 36,329 108,988 54,494 27,247 81,742 40,871 122,614 61,307 183,922 91,961 275,884 137,942 68,971 206,914 103,457 310,372 155,186 77,593 232,780 116,390 58,195 174,586 87,293 261,880 130,940 65,470 32,735 98,206 49,103 147,310 73,655 220,966 110,483 331,450 165,725

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