3,942,567

3³ × 146021

3,942,567 factors as 3^3 × 146021. Its 8 positive divisors give a proper-divisor sum of 1,898,313, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 3^3 × 146021

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,840,880

Proper Divisor Sum 1,898,313

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3942553 ← → #3942569

Radix Representation

Decimal	3942567
Binary	1111000010100010100111 (22 bits)
Octal	0o17024247
Hexadecimal	0x3C28A7

Divisor Catalog (8)

1 3 9 27 146,021 438,063 1,314,189 3,942,567

Collatz Trajectory (146 steps to reach 1)

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

3,942,567 11,827,702 5,913,851 17,741,554 8,870,777 26,612,332 13,306,166 6,653,083 19,959,250 9,979,625 29,938,876 14,969,438 7,484,719 22,454,158 11,227,079 33,681,238 16,840,619 50,521,858 25,260,929 75,782,788 37,891,394 18,945,697 56,837,092 28,418,546 14,209,273 42,627,820 21,313,910 10,656,955 31,970,866 15,985,433 47,956,300 23,978,150 11,989,075 35,967,226 17,983,613 53,950,840 26,975,420 13,487,710 6,743,855 20,231,566 10,115,783 30,347,350 15,173,675 45,521,026 22,760,513 68,281,540 34,140,770 17,070,385 51,211,156 25,605,578 12,802,789 38,408,368 19,204,184 9,602,092 4,801,046 2,400,523 7,201,570 3,600,785 10,802,356 5,401,178

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