λ
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18,467,548

22 × 11 × 29 × 41 × 353
Abundant Even Composite

18,467,548 factors as 2^2 × 11 × 29 × 41 × 353. Its 48 positive divisors give a proper-divisor sum of 18,999,812, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 29 × 41 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 37,467,360
Proper Divisor Sum 18,999,812
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #18467521 ← → #18467549

Radix Representation

Decimal 18467548
Binary 1000110011100101011011100 (25 bits)
Octal 0o106345334
Hexadecimal 0x119CADC

Divisor Catalog (48)

1 2 4 11 22 29 41 44 58 82 116 164 319 353 451 638 706 902 1,189 1,276 1,412 1,804 2,378 3,883 4,756 7,766 10,237 13,079 14,473 15,532 20,474 26,158 28,946 40,948 52,316 57,892 112,607 159,203 225,214 318,406 419,717 450,428 636,812 839,434 1,678,868 4,616,887 9,233,774 18,467,548

Collatz Trajectory (133 steps to reach 1)

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

18,467,548 9,233,774 4,616,887 13,850,662 6,925,331 20,775,994 10,387,997 31,163,992 15,581,996 7,790,998 3,895,499 11,686,498 5,843,249 17,529,748 8,764,874 4,382,437 13,147,312 6,573,656 3,286,828 1,643,414 821,707 2,465,122 1,232,561 3,697,684 1,848,842 924,421 2,773,264 1,386,632 693,316 346,658 173,329 519,988 259,994 129,997 389,992 194,996 97,498 48,749 146,248 73,124 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254

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