4,082,643

3⁵ × 53 × 317

4,082,643 factors as 3^5 × 53 × 317. Its 24 positive divisors give a proper-divisor sum of 2,167,965, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3^5 × 53 × 317

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,250,608

Proper Divisor Sum 2,167,965

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4082629 ← → #4082651

Radix Representation

Decimal	4082643
Binary	1111100100101111010011 (22 bits)
Octal	0o17445723
Hexadecimal	0x3E4BD3

Divisor Catalog (24)

1 3 9 27 53 81 159 243 317 477 951 1,431 2,853 4,293 8,559 12,879 16,801 25,677 50,403 77,031 151,209 453,627 1,360,881 4,082,643

Collatz Trajectory (185 steps to reach 1)

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

4,082,643 12,247,930 6,123,965 18,371,896 9,185,948 4,592,974 2,296,487 6,889,462 3,444,731 10,334,194 5,167,097 15,501,292 7,750,646 3,875,323 11,625,970 5,812,985 17,438,956 8,719,478 4,359,739 13,079,218 6,539,609 19,618,828 9,809,414 4,904,707 14,714,122 7,357,061 22,071,184 11,035,592 5,517,796 2,758,898 1,379,449 4,138,348 2,069,174 1,034,587 3,103,762 1,551,881 4,655,644 2,327,822 1,163,911 3,491,734 1,745,867 5,237,602 2,618,801 7,856,404 3,928,202 1,964,101 5,892,304 2,946,152 1,473,076 736,538 368,269 1,104,808 552,404 276,202 138,101 414,304 207,152 103,576 51,788 25,894

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