λ
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4,095,978

2 × 3 × 23 × 67 × 443
Abundant Even Composite

4,095,978 factors as 2 × 3 × 23 × 67 × 443. Its 32 positive divisors give a proper-divisor sum of 4,599,318, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 67 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,695,296
Proper Divisor Sum 4,599,318
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4095953 ← → #4095979

Radix Representation

Decimal 4095978
Binary 1111100111111111101010 (22 bits)
Octal 0o17477752
Hexadecimal 0x3E7FEA

Divisor Catalog (32)

1 2 3 6 23 46 67 69 134 138 201 402 443 886 1,329 1,541 2,658 3,082 4,623 9,246 10,189 20,378 29,681 30,567 59,362 61,134 89,043 178,086 682,663 1,365,326 2,047,989 4,095,978

Collatz Trajectory (110 steps to reach 1)

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

4,095,978 2,047,989 6,143,968 3,071,984 1,535,992 767,996 383,998 191,999 575,998 287,999 863,998 431,999 1,295,998 647,999 1,943,998 971,999 2,915,998 1,457,999 4,373,998 2,186,999 6,560,998 3,280,499 9,841,498 4,920,749 14,762,248 7,381,124 3,690,562 1,845,281 5,535,844 2,767,922 1,383,961 4,151,884 2,075,942 1,037,971 3,113,914 1,556,957 4,670,872 2,335,436 1,167,718 583,859 1,751,578 875,789 2,627,368 1,313,684 656,842 328,421 985,264 492,632 246,316 123,158 61,579 184,738 92,369 277,108 138,554 69,277 207,832 103,916 51,958 25,979

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